day - A unit of time equal to 24 hours

$0.73 every day and in 12 weeks how much will I have? $0.73 per day * 7 days / week * 12 weeks = $0.73 * 7 * 12 = [B]$61.32[/B]

$45 and you add $2.25 each day Let d be the number of days. Our Cost function C(d) is: [B]C(d) = 2.25d + 45[/B]

60% of the freshman ate pizza [URL=' lunch today[/URL]. If 180 freshman ate pizza, how many freshman are enrolled at our school? 60% of x = 180 We write this as 0.6x = 180 Divide each side by 0.6 to isolate x. We get x = 300 freshman

1 box is used every 1.5 days. How many are used in 242 days? Set up a proportion of boxes to days where b is the number of boxes used for 242 days: 1/1.5 = b/242 To solve this proportion for b, we [URL=' it in our search engine[/URL] and we get: b = [B]161.3333[/B]

1 year from now Mike will be 40 years old. The current sum of the ages of Mike and John is 89. How old is John right now? If Mike will be 40 1 year from now, then he is: 40 - 1 = 39 years old today. And if the current sum of Mike and John's age is 89, then we use j for John's age: j + 39 = 89 [URL=' this equation into our search engine[/URL], and we get: [B]j = 50[/B]

1 year from now Paul will be 49 years old. The current sum of the ages of Paul and Sharon is 85. How old is Sharon right now? If Paul will be 49 years old 1 year from now, this means today, he is 49 - 1 = 48 years old. Let Sharon's age be s. Then from the current sum of Paul and Sharon's ages, we get: s + 49 = 85 [URL=' this equation into our search engine[/URL], and get: s = [B]36[/B]

10% of the days in June were sunny. How many days in June were sunny? June has 30 days. We [URL=' in 10% of 30[/URL] in our search engine: [B]3 days[/B]

24 sodas and drinks 3 a day 24 sodas / 3 per day = [B]8 days[/B]

40% of the days in September were sunny how many days were sunny? September has 30 days. So we [URL=' 40% of 30 in our search engine[/URL]. We get: [B]12 days[/B]

8 bricklayers can build a wall in 10 days. How long would it take 5 bricklayers to build? Set up a proportion of bricklayers to building time where t is the amount of time it takes 5 bricklayers to build a wall: 8/10 = 5/t To solve this proportion for t, we [URL=' it in our search engine[/URL] and we get: t = [B]6.25 days[/B]

90% of the day in September were sunny. How many day were sunny? September has 30 days, so we have: Sunny Days = 90% * 30 [URL=' Days[/URL] = [B]27[/B]

A bakery has a fixed cost of $119.75 per a day plus $2.25 for each pastry. The bakery would like to keep its daily costs at or below $500 per day. Which inequality shows the maximum number of pastries, p, that can be baked each day. Set up the cost function C(p), where p is the number of pastries: C(p) = Variable Cost + Fixed Cost C(p) = 2.25p + 119.75 The problem asks for C(p) at or below $500 per day. The phrase [I]at or below[/I] means less than or equal to (<=). [B]2.25p + 119.75 <= 500[/B]

A bakery sells 349 pieces pande coco in a day. About how many pande coco bread can bakery shop sell in 25 days? Total pieces of coco = Pieces per day * Number of Days Total pieces of coco = 349 * 25 Total pieces of coco = [B]8,725[/B]

A bamboo tree grew 3 inches per day. How many days will it take the tree to grow 144 inches? Choose the correct equation to represent this situation. Let the number of days be d. We have the equation: 3d = 144 To solve this equation for d, we [URL=' it in our search engine[/URL] and we get: d = [B]48[/B]

A boat can carry 582 passengers to the base of a waterfall. A total of 13,105 people ride the boat today. All the rides are full except for the first ride. How many rides are given? 582 passengers on the boat Let r be the number of rides So we want to find r when: 582r = 13105 To solve for r, we [URL=' this equation into our math engine[/URL] and we get: r = 22.517 If we round this down, setting 0.517 rides as the first ride, we get: r = [B]22 [MEDIA=youtube]0J2YRPzKsoU[/MEDIA][/B]

A box of goldfish food can feed 3 fish for 4 weeks. How long will the box last if there are 7 goldfish? 4 weeks = 7 * 4 = 28 days One box = 3 fish * 28 days = 84 days 84 days / 7 goldfish = [B]12 days[/B]

A bus ride cost 1.50. A 30 day pass cost $24. Write an inequallity to show that the 30 day pass is the better deal Let the number of days be d. We have the inequality below where we show when the day to day cost is greater than the monthly pass: 1.5d > 24 To solve this inequality for d, we [URL=' it in our search engine[/URL] and we get: [B]d > 16[/B]

A car rents $35 per day plus 15 cents per mile driven Set up the cost function C(m) where m is the number of miles driven: C(m) = Cost per mile * m + Daily Fee [B]C(m) = 0.15m + 35[/B]

A chicken farm produces ideally 700,000 eggs per day. But this total can vary by as many as 60,000 eggs. What is the maximum and minimum expected production at the farm? [U]Calculate the maximum expected production:[/U] Maximum expected production = Average + variance Maximum expected production = 700,000 + 60,000 Maximum expected production = [B]760,000[/B] [U]Calculate the minimum expected production:[/U] Minimum expected production = Average - variance Minimum expected production = 700,000 - 60,000 Minimum expected production = [B]640,000[/B]

A college student earns $21 per day delivering advertising brochures door-to-door, plus 50 cents for each person he interviews. How many people did he interview on a day when he earned $61.50 Let each person interviewed be p. We have an earnings equation E(p): E(p) = 0.5p + 21 The problems asks for p when E(p) = 61.50 0.5p + 21 = 61.50 To solve for p, we [URL=' this equation in our search engine[/URL] and we get: p = [B]81[/B]

A company delivered 498 packages on Monday. On Tuesday they delivered 639 and on Wednesday they delivered 436. How many packages did the company deliver in all? Add up all the packages: 498 + 639 + 436 = [B]1573[/B]

A company that makes superhero capes has 6,300 yards of fabric left. It uses 70 yards of fabric each day. How many days will it take the company to use all the fabric? 6300 yards / 70 yards per day = [B]90 days[/B]

A customer withdrew $100 from a bank account. The customer then deposited $33 the next day. Write and then evaluate an expression to show the net effect of these transactions. Withdrawals are negative since we take money away Deposits are positive since we add money So we have: [LIST] [*]100 withdrawal = -100 [*]33 deposit = +33 [/LIST] Our balance is: -100 + 33 = [B]-67 net[/B]

A daily pass costs $62. A season ski pass costs $450. The skier would have to rent skis with either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? Let d be the number of days the skier attends. Calculate the daily cost: Daily Total Cost = Daily Cost + Rental Cost Daily Total Cost = 62d + 30d Daily Total Cost = 92d Calculate Season Cost: Season Total Cost = Season Fee + Rental Cost Season Total Cost = 450 + 30d Set the daily total cost and season cost equal to each other: 450 + 30d = 92d [URL=' this equation into the search engine[/URL], we get d = 7.258. We round up to the next full day of [B]8[/B]. Now check our work: Daily Total Cost for 8 days = 92(8) = 736 Season Cost for 8 days = 30(8) + 450 = 240 + 450 = 710. Therefore, the skier needs to go at least [B]8 days[/B] to make the season cost less than the daily cot.

A day after tomorrow is 3 days before Monday. Whatd day is today Three days before Monday is: Sunday, Saturday, Friday A day after tomorrow is Friday. Which means we rewind 2 days to get: Friday, Thursday, [B]Wednesday[/B]

A family decides to rent a canoe for an entire day. The canoe rental rate is $50 for the first three hours and then 20$ for each additional hour. Suppose the family can spend $110 for the canoe rental. What is the maximum number of hours the family can rent the canoe? IF we subtract the $50 for the first 3 hours, we get: 110 - 50 = 60 remaining Each additional hour is 20, so the max number of hours we can rent the canoe is $60/20 = 3 hours additional plus the original 3 hours is [B]6 hours[/B]

A family of four used about 11,370 gallons of water in their home last month. There were 30 days in the month. About how many gallons of water did each person use each day? 11370 gallons of water / (30 days in a month * 4 people) 11370 gallons of water / (120 people days) 94.75 [B]gallons[/B]

A food truck sells salads for $6.50 each and drinks for $2.00 each. The food trucks revenue from selling a total of 209 salads and drinks in one day was $836.50. How many salads were sold that day? Let the number of drinks be d. Let the number of salads be s. We're given two equations: [LIST=1] [*]2d + 6.50s = 836.50 [*]d + s = 209 [/LIST] We can use substitution to solve this system of equations quickly. The question asks for the number of salads (s). Therefore, we want all expressions in terms of s. Rearrange Equation 2 by subtracting s from both sides: d + s - s = 209 - s Cancel the s's, we get: d = 209 - s So we have the following system of equations: [LIST=1] [*]2d + 6.50s = 836.50 [*]d = 209 - s [/LIST] Substitute equation (2) into equation (1) for d: 2(209 - s) + 6.50s = 836.50 Multiply through to remove the parentheses: 418 - 2s + 6.50s = 836.50 To solve this equation for s, we [URL=' it into our search engine and we get[/URL]: s = [B]93[/B]

A giant tortoise can live 175 years in captivity. The gastrotrich, which is a small aquatic animal, has a life-span of only 3 days (72 hours). If a gastrotrich died after 36 hours, a giant tortoise that lived 87.5 yeas would live proportionally the same because they both would have died halfway through their life-span. How long would a giant tortoise live if it lived proportionally the same as a gastrotrich that died after 50 hours? Set up a proportion of hours lived to lifespan where n is the number of years the giant tortoise lives: 50/72 = n/175 Using our [URL=' calculator[/URL], we get: n = [B]121.5[/B]

A grandmother deposited $5,000 in an account that pays 8% per year compounded annually when her granddaughter was born. What will the value of the account be when the granddaughter reaches her 16th birthday? We have the accumulation function A(t) = 5,000(1.08)^t. For t = 16, we have: A(16) = 5,000(1.08)^16 A(16) = 5,000*3.42594264333 A(16) = [B]17,129.71[/B]

A group of campers have 250 pounds of food. They plan to eat 12 pounds a day. How many days will it take them to eat the food. Write your answer in a linear equation. Let the number of days be d. We have the following equation: 12d = 250 To solve for d, we [URL=' this equation in our search engine[/URL] and we get: d = [B]20.833[/B]

A group of people was surveyed to determine what newspaper they read. 80% of those interviewed read the New York Times, while 50% read U.S.A. Today. If 35% read both papers, what percent read neither paper? New York Times: 80% - 35% for both = 45% USA Today: 50% - 35% for both = 15% 45% + 15% + 35% = 95% Which means 100% - 95% = [B]5% read neither[/B]

A group of workers can plant 54 acres in 6 days. What is their rate in acres per day? Acres per day = 54 acres / 6 days = [B]9 acres per day[/B]

A group of workers can plant 72 acres in 8 days what is the rate in acres per a day Acres per day = Total Acres / Total Days Acres per day = 72/8 Acres per day =[B] 9[/B]

A holiday in Florida costs $876. A holiday in Bali costs $394. How much more expensive is the Florida holiday? We want the difference between Florida holiday costs and Bali holiday costs: $876 - $394 = [B]$482[/B]

A light bulb consumes 17100 watt-hours in 4 days and 18 hours. How many watt-hours does it consume a day? Since one day equals 24 hours, we have: 4 days and 18 hours equals: 4(24) + 18 hours 96 + 18 hours 114 hours Therefore, we have a proportion, where w is the number of watt-hours in a 24-hour period. 17,100 watt-hours/114 hours = w/24 [URL=' 1711/114 = w/24 into our calculator[/URL], we get: [B]w = 3,600[/B]

A light flashes every 2 minutes a, second light flashes every 7 minutes, and a third light flashes every 8 minutes. If all lights flash together at 8 P.M., what is the next time of day they will all flash together [URL=' use our least common multiple calculator[/URL] to see when the 3 numbers have a common multiple: LCM of (2, , 8) = 56 minutes So this means we add 56 minutes to 8:00 P.M. and we get [B]8:56 P.M.[/B]

A lightbulb consumes 1440 watt-hours per day. How many watt-hours does it consume in 4 days and 12 hours? 1 day is 24 hours. 4 days is 24 * 4 = 96 hours. So we have 96 hours + 12 hours =[B] 108 hours[/B]

A local radio station sells time slots for programs in 20-minute intervals. If the station operates 24 hours per day, what is the total number of 20-minute time slots the radio station can sell for Thursday and Friday? Thursday and Friday = 2 days With 24 hours per day, we have 24 * 2 = 48 hours for Thursday and Friday. Since 20 minutes is 1/3 of an hour, then we have 3 20-minute time slots per hour. 3 20-minute time slots * 48 hours = [B]144[/B] total 20-minute time slots

A milk booth sells 445 litres of milk in a day. How many litres of milk will it sell in 4 years Calculate the number of days in 4 years: Days in 4 years = Days in 1 year * 4 Days in 4 years = 365 * 4 Days in 4 years = 1,460 Calculate litres of milk sold in 4 years: Litres of milk sold in 4 years = Litres of milk sold in 1 day * Days in 4 years Litres of milk sold in 4 years = 445 * 1,460 Litres of milk sold in 4 years = [B]649,700 litres[/B]

A motorist pays $4.75 per day in tolls to travel to work. He also has the option to buy a monthly pass for $80. How many days must he work (i.e. pass through the toll) in order to break even? Let the number of days be d. Break even means both costs are equal. We want to find when: 4.75d = 80 To solve for d, we [URL=' this equation into our search engine[/URL] and we get: d = 16.84 days We round up to an even [B]17 days[/B].

A movie theater charges $7 for adults and $3 for seniors on a particular day when 324 people paid an admission the total receipts were 1228 how many were seniors and how many were adults? Let the number of adult tickets be a. Let the number of senior tickets be s. We're given two equations: [LIST=1] [*]a + s = 324 [*]7a + 3s = 1228 [/LIST] We have a set of simultaneous equations we can solve using 3 methods: [LIST] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Rule[/URL] [/LIST] No matter what method we choose, we get: [LIST] [*][B]a = 64[/B] [*][B]s = 260[/B] [/LIST]

A movie theater charges 7.00 for adults and 2.00 for seniors citizens. On a day when 304 people paid for admission, the total receipt were 1118. How many who paid were adults ? How many were senior citizens? Let a be the number of adult tickets. Let s be the number of senior citizen tickets. We're given two equations: [LIST=1] [*]a + s = 304 [*]7a + 2s = 1118 [/LIST] We can solve this system of equations three ways: [LIST] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [/LIST] No matter which way we choose, we end up with the same answer: [LIST] [*]a = [B]102[/B] [*]s = [B]202[/B] [/LIST]

A person is earning 600 per day to do a certain job. Express the total salary as a function of the number of days that the person works. Set up the salary function S(d) where d is the number of days that the person works: S(d) = Daily Rate * d [B]S(d) = 600d[/B]

A Petri dish contains 2000. The number of bacteria triples every 6 hours. How many bacteria will exist after 3 days? Determine the amount of tripling periods: [LIST] [*]There are 24 hours in a day. [*]24 hours in a day * 3 days = 72 hours [*]72 hours / 6 hours tripling period = 12 tripling periods [/LIST] Our bacteria population function B(t) where t is the amount of tripling periods. Tripling means we multiply by 3, so we have: B(t) = 2000 * 3^t with t = 12 tripling periods, we have: B(12) = 2000 * 3^12 B(12) = 2000 * 531441 B(12) = [B]1,062,882,000[/B]

A photographer snapped 224 photos over a period of 15 days. At this rate, how many would he take in 45 days? Set up a proportion of photos to days where p is the number of photos snapped in 45 days: 224/15 = p/45 To solve this proportion for p, we [URL=' it in our search engine[/URL] and we get; p = [B]672[/B]

A random sample of 25 customers was chosen in CCP MiniMart between 3:00 and 4:00 PM on a Friday afternoon. The frequency distribution below shows the distribution for checkout time (in minutes). Checkout Time (in minutes) | Frequency | Relative Frequency 1.0 - 1.9 | 2 | ? 2.0 - 2.9 | 8 | ? 3.0 - 3.9 | ? | ? 4.0 - 5.9 | 5 | ? Total | 25 | ? (a) Complete the frequency table with frequency and relative frequency. (b) What percentage of the checkout times was less than 3 minutes? (c)In what class interval must the median lie? Explain your answer. (d) Assume that the largest observation in this dataset is 5.8. Suppose this observation were incorrectly recorded as 8.5 instead of 5.8. Will the mean increase, decrease, or remain the same? Will the median increase, decrease or remain the same? Why? (a) [B]Checkout Time (in minutes) | Frequency | Relative Frequency 1.0 - 1.9 | 2 | 2/25 2.0 - 2.9 | 8 | 8/25 3.0 - 3.9 | 10 (since 25 - 5 + 8 + 2) = 10 | 10/25 4.0 - 5.9 | 5 | 5/25 Total | 25 | ?[/B] (b) (2 + 8)/25 = 10/25 = [B]40%[/B] c) [B]3.0 - 3.9[/B] since 2 + 8 + 10 + 5 = 25 and 13 is the middle value which occurs in the 3.0 - 3.9 interval (d) [B]Mean increases[/B] since it's a higher value than usual. Median would not change as the median is the most frequent distribution and assuming the 5.8 is only recorded once.

A researcher believed that there was a difference in the amount of time boys and girls at 7th grade studied by using a two-tailed t test. Which of the following is the null hypothesis? a. Mean of hours that boys studied per day was equal to mean of hours that girls studied per day b. Mean of hours that boys studied per day was greater than mean of hours that girls studied per day c. Mean of hours that boys studied per day was smaller than mean of hours that girls studied per day d. Mean of hours that boys studied per day was smaller than or equal to mean of hours that girls studied per day [B]a. Mean of hours that boys studied per day was equal to mean of hours that girls studied per day[/B] Reason is that in hypothesis testing, you take a position other than what is assumed or what is being tested as the null hypothesis

A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount x (in dollars) the restaurant needs to earn on Sunday to average $1000 per day over the three-day period. Let Sunday's earnings be s. With 3 days, we divide our sum of earnings for 3 days by 3 to get our 1,000 average, so we have: (1073 + 1108 + s)/3 = 1000 Cross multiply: 1073 + 1108 + s = 1000 * 3 1073 + 1108 + s = 3000 To solve for s, we [URL=' this equation into our search engine[/URL] and we get: s = [B]819[/B]

A restaurant is open for 10 hours during the day. The restaurant has 5 families coming and leaving every hour. A family has 4 members. How many people have visited the restaurant during the day? [U]Given:[/U] [LIST] [*]10 & 1/2 = 10.5 hours [*]5 & 1/2 = 5.5 families [/LIST] Total Visitors = Hours Open * Families per hour * member per family Total Visitors = 10.5 * 5.5 * 4 Total Visitors = [B]231[/B]

A Sales Manager buys antacid in bottles by the gross. If he goes through 3 bottles of antacid everyday, how long will the gross last? [U][B]Calculate a gross[/B][/U] [URL='(unit)#:~:text=A%20gross%20refers%20to%20a,cubic%20dozen%2C%20123).']A gross equals[/URL] 144 because 1 gross = 12 dozen 12 dozen * 12 items/dozen = 144 [B] [U]Answer[/U][/B] Days lasted = Total Bottles / Bottles per day Days lasted = 144 bottles / 3 days [B]Days lasted = 48 days[/B]

A ship is traveling at an average velocity of 28 miles per hour. How far will the ship travel in two days? 28 miles/1 hour * 24 hours/1 day * 2 days 28 * 24 * 2 = [B]1,344 miles[/B]

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $75. A season ski pass costs $350. The skier would have to rent skis with either pass for $20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? Let d be the number of days: Daily Plan cost: 75d + 20d = 95d Season Pass: 350 + 20d We want to find d such that 350 + 20d < 95d Subtract 20d from each side 75d > 350 Divide each side by 75 d > 4.66667 [B]d = 5[/B]

a stone mason builds 7 houses in 3 days. How many days does it take to build 11 houses? The build rate of houses per days is proportional. Set up a proportion of [I]houses to days[/I] where d is the number of days it takes to build 11 houses: 7/3 = 11/d Cross multiply: Numerator 1 * Denominator 2 = Denominator 1 * Numerator 2 7d = 11 * 3 7d = 33 Divide each side of the equation by 7: 7d/7 = 33/7 d = [B]4.7142857142857[/B]

A store sells about $45 a day 7 days a week about how many gigs is my the stores sell in 4 weeks 4 weeks = 7 * 4 = 28 days. $45 per day * 28 days = [B]$1,260[/B]

A store sells books for 50% off on Sundays. The store advertises that on Easter Sunday the store takes an additional 25% off. What would a pile of books cost on Easter Sunday that normally sell for $100 on a Thursday? 50% off means we'd pay 100% - 50% = 50% An additional 25% off means we'd pay 100% - 25% = 75% Build this percentage paid stack below 100 * 50% * 75% = [B]37.50[/B]

A super deadly strain of bacteria is causing the zombie population to double every day. Currently, there are 25 zombies. After how many days will there be over 25,000 zombies? We set up our exponential function where n is the number of days after today: Z(n) = 25 * 2^n We want to know n where Z(n) = 25,000. 25 * 2^n = 25,000 Divide each side of the equation by 25, to isolate 2^n: 25 * 2^n / 25 = 25,000 / 25 The 25's cancel on the left side, so we have: 2^n = 1,000 Take the natural log of each side to isolate n: Ln(2^n) = Ln(1000) There exists a logarithmic identity which states: Ln(a^n) = n * Ln(a). In this case, a = 2, so we have: n * Ln(2) = Ln(1,000) 0.69315n = 6.9077 [URL=' this equation into our search engine[/URL], we get: [B]n = 9.9657 days ~ 10 days[/B]

a tomato plant has 5 leaves on day 1, 7 on day 3 and 9 on day 5. what is the rate it is growing? Day 1 = 5 leaves Day 3 = 7 leaves Day 5 = 9 leaves [B]Growth Rate = 2 leaves per day[/B]

A toy factory makes 5,000 teddy bears per day. The supervisor randomly selects 10 teddy bears from all 5,000 teddy bears and uses this sample to estimate the mean weight of teddy bears and the sample standard deviation. How many degrees of freedom are there in the estimate of the standard deviation? DF = n - 1 DF = 10 - 1 [B]DF = 9[/B]

A virus is spreading exponentially. The initial amount of people infected is 40 and is increasing at a rate of 5% per day. How many people will be infected with the virus after 12 days? We have an exponential growth equation below V(d) where d is the amount of days, g is the growth percentage, and V(0) is the initial infected people: V(d) = V(0) * (1 + g/100)^d Plugging in our numbers, we get: V(12) = 40 * (1 + 5/100)^12 V(12) = 40 * 1.05^12 V(12) = 40 * 1.79585632602 V(12) = 71.8342530409 or [B]71[/B]

Adam took money from his savings account to use as spending money on a trip to San Antonio. On Monday, he spent half his money. On Tuesday, he sp ent half of what was left. On Wednesday, he again spent half of his remaining money. On Thursday, he work up with very little money left, but again spent half of it. If Adam started the vacation with n dollars, how much money did he have at the end of Thursday? [LIST] [*]Start with: n [*]Monday: n * 1/2 = n/2 [*]Tuesday: n/2 * 1/2 = n/4 [*]Wednesday: n/4 * 1/2 = n/8 [*]Thursday: n/8 * 1/2 = [B]n/16[/B] [/LIST]

Adam, Bethany, and Carla own a painting company. To paint a particular home, Adam estimates it would take him 4 days. Bethany estimates 5.5 days. Carla estimates 6 days. How long would it take them to work together to paint the house. Our combined work function for time (t) using a = Adam's time, b = Bethany's time, and c = Carla's time is: 1/a + 1/b + 1/c = 1/t Plugging in a, b, and c, we get: 1/4 + 1/5.5 + 1/6 = 1/t 0.25 + 0.181818 + 0.1667 = 1/t 1/t = 0.59848 t = [B]1.67089 days[/B]

After an explosion of an oxygen tank, three astronauts were forced to move into the lunar lander that was attached to their spacecraft. If the lunar lander had enough oxygen to last 2 people for 6 days, is there enough oxygen for 3 astronauts if their journey back to earth will take 4 days? 2 people * 6 days = 12 days of oxygen for 1 person. 12 days of oxygen per person / 3 astronauts = [B]4 days of oxygen The answer is yes, there IS ENOUGH oxygen[/B]

Alberto and Willie each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Alberto spent $64 on 3 daylilies and 8 pots of ivy. Willie spent $107 on 9 daylilies and 7 pots of ivy. What is the cost of one daylily and the cost of one pot of ivy? Assumptions: [LIST] [*]Let d be the cost of one daylily [*]Let i be the cost of one pot of ivy [/LIST] Givens: [LIST=1] [*]3d + 8i = 64 [*]9d + 7i = 107 [/LIST] To solve this system of equations, you can use any of three methods below: [LIST] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [/LIST] No matter what method we use, we get the same answer: [LIST] [*][B]d = 8[/B] [*][B]i = 5[/B] [/LIST] [B][MEDIA=youtube]K1n3niERg-U[/MEDIA][/B]

Ali runs each lap in 6 minutes. He will run at least 11 laps today. What are the possible numbers of minutes he will run today? Let m be the number of minutes. The phrase [I]at least[/I] means an inequality, also known as greater than or equal to. So we have: m >= 11*6 [B]m >= 66 You can read this as Ali will run 66 or more minutes today. Or at least 66 minutes. Or greater than or equal to 66 minutes[/B]

Alonzo runs each lap in 4 minutes. He will run at most 32 minutes today. What are the possible numbers of laps he will run today? 32 minutes / 4 minutes per lap =[B] 8 laps maximum[/B]. He can also run less than 8 laps if his lap time gets slower.

Amanda runs each lap in 4 minutes. She will run less than 44 minutes today. What are the possible number of laps she will run today? Notes for this problem: [LIST] [*]Let laps be l. [*]Lap time = Time per lap * number of laps (l) [*]Less than means we have an inequality using the < sign [/LIST] We have the inequality: 4l < 44 To solve this inequality for l, we [URL=' it in our math engine[/URL] and we get: [B]l < 11[/B]

Amar goes to the dance class every fourth day. Karan goes to the dance class every fifth day. Both met at the dance class today. After how many days will they meet at the dance class again? We want the least common multiple of 4 and 5. We type in [URL='(4,5)[/URL] into our search engine and we get [B]20. So 20 days from now, Amar and Karen will meet again.[/B]

An airport has 13 scheduled arrivals every day. This week, 28 private planes also landed there. How many planes flew into the airport this week? A week has 7 days. 13 scheduled arrivals per day times 7 days = 91 scheduled planes Next, we add 28 private planes: 91 + 28 = [B]119 planes[/B]

An avocado is not ripe until 4 days after picking and will go bad after 7 days after picking. Represent the days the avocado is ripe Our sweet spot for ripeness is 4 days or more but not more than 7 days. Using d as our days, we have the following inequality: [B]4 <= d <= 7[/B]

An eccentric millionaire has 5 golden hooks from which to hang her expensive artwork. She wants to have enough paintings so she can change the order of the arrangement each day for the next 41 years. (The same five paintings are okay as long as the hanging order is different.) What is the fewest number of paintings she can buy and still have a different arrangement every day for the next 41 years? 365 days * 41 years + 10 leap year days = 14,975 days what is the lowest permutations count of n such that nP5 >= 14,975 W[URL=' see that 9P5[/URL] = 15,120, so the answer is [B]9 paintings[/B]

An electrician starts off the day with 600 feet of copper wiring on his truck. During the course of the day he uses pieces 100, 82, 25, and 40 feet long. The next day, he purchases another 400 feet and puts it on his truck and later in the day uses pieces of 41, 39, and 44 feet long. How many feet of wiring are still on the truck at the end of the second day? If the electrician uses pieces, we subtract. If he purchases pieces, we add. So we have: 600 - 100 - 82 - 25 - 40 + 400 - 41 - 39 - 44 = [B]629 feet[/B]

An organic juice bottler ideally produces 215,000 bottle per day. But this total can vary by as much as 7,500 bottles. What is the maximum and minimum expected production at the bottling company? Our production amount p is found by adding and subtracting our variance amount: 215,000 - 7,500 <= p <= 215,000 + 7,500 [B](min) 207,500 <= p <=222,500 (max)[/B]

Ande has 8 pints of milk. If he drinks 1/4 of a pint of milk each day, how long will the 8 pints of milk last him? Milk Days = Total Pints of Milk / pints drank per day Milk Days = 8 / 1/4 Dividing by a fraction is the same as multiplying by it's reciprocal. The [URL=' of[/URL] 1/4 is 4/1, so we have: 8 * 4/1 = [B]32 days[/B]

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At a birthday party, 13 children ate cake, 9 ate ice cream, 7 ate both cake and ice cream, and one child had neither cake nor ice cream. How many children were at the party? We have one of three scenarios [LIST=1] [*]A child ate cake (possibly ice-cream) [*]A child ate ice cream (possible cake) [*]A child ate neither [/LIST] We have cake + ice cream + neither - both cake and ice cream. We subtract both cake and ice cream to avoid duplicates 13 + 9 + 1 - 7 = 16 kids at the party

At a carnival, the price of an adult ticket is $6 while a child ticket is $4. On a certain day, 30 more child tickets than adult tickets were sold. If a total of $6360 was collected from the total ticket sale that day, how many child tickets were sold? Let the number of adult tickets be a. Let the number of child tickets be c. We're given two equations: [LIST=1] [*]c = a + 30 [*]6a + 4c = 6360 [/LIST] Substitute equation (1) into equation (2): 6a + 4(a + 30) = 6360 Multiply through to remove parentheses: 6a + 4a + 120 = 6360 T[URL=' this equation into our search engine[/URL] to solve for a and we get: a = 624 Now substitute a = 624 back into equation (1) to solve for c: c = 124 + 30 c = [B]154[/B]

At night, the average temperature on the surface of Saturn is -150 C. During the day, the temperature rises 27 C. What is the average temperature on the planet's surface during the day? Rising temperature means we add, so we have: -150+ 27 = [B]-123C[/B]

At the end of the day, a bakery had 1/2 of a pie left over. The 4 employees each took home the same amount of leftover pie. How much pie did each employee take home? We have 1/2 of the pie eaten, if 1/2 was left over. So 1/2 of a pie divided by 4 employees = [B]1/8 of a pie per person[/B]. To check our work, we have 4 * 1/8 = 4/8 = 1/2 of pie eaten.

At the end of the day, the temperature is -16C. During the day it dropped 12C. What was the temperature in the morning? Write an equation to represent, then solve and verify your answer let the starting temperature be s. If the temperature dropped, that means we subtract, so we have the following equation: s - 12 = -16 To solve this equation, we [URL=' it in our search engine[/URL] and we get: s = [B]-4[/B]

Ava set her watch 2 seconds behind, every day it sets back 1 second. How many days has it been since she last set her watch if it is 41 seconds behind? Right now: Watch is 2 seconds behind [U]Let d be the day after right now[/U] (1)d + 2 = 41 d + 2 = 41 [U]Subtract 2 from each side[/U] [B]d = 39[/B]

Ben visits the park every 2 days and goes to the library every 5 days. If Ben gets to do both of these today, how many days will pass before Ben gets to do them both on the same day again? To find this, we want the least common multiple (LCM) of 2 and 5. We [URL=' LCM(2,5) into our search engine[/URL] and we get: [B]10 days [/B] We check our work: 2 days * 5 visits = 10 days 5 days * 2 visits = 10 days

Benny bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 47 cards left. How many cards did Benny start with? Let b be the number of baseball trading cards Benny started with. We have the following events: [LIST=1] [*]Benny buys 8 new cards, so we add 8 to get b + 8 [*]The dog ate half of his cards the next day, so Benny has (b + 8)/2 [*]We're told he has 47 cards left, so we set (b + 8)/2 equal to 47 [/LIST] (b + 8)/2 = 47 [B][U]Cross multiply:[/U][/B] b + 8 = 47 * 2 b + 8 = 94 [URL=' this equation into the search engine[/URL], we get [B]b = 86[/B].

Bob finished reading his book in x days. Each day, he read 4 pages. His book has 28 pages Our equation for this is found by multiplying pages per day times number of days; 4x = 28 To solve for x, [URL=' type the equation into our search engine[/URL] and we get: x = [B]7[/B]

Brendan sells roses for $7.99 a bunch. at the end of the day he had collected $79.90. How many bunches did he sell? $79.90 / $7.99 = 10 bunches

Caleb has a complicated and difficult research paper due soon. What should he do to keep from feeling overwhelmed and procrastinating? A. work on the paper every day but save the bulk of the work for the night before it's due B. break down the paper into several small steps and start with the smallest one C. write down the deadline for the paper where he can see it every day so he doesn't forget D. work on the hardest parts of the paper first and take multiple breaks until he's finished Caleb wants to avoid both overwhelm and procrastination. Let's review each option: [LIST] [*]A is out because saving a majority of the work will cause overwhelm [U]and[/U] demonstrates procrastination [*]B is a good option as small steps reduce overwhelm [*]C looks nice on paper, but will he follow through with seeing the deadline everyday? [*]D is a good option as well. Finishing the tough parts first makes the rest of the journey seem like a downhill cruise [/LIST] Based on these, I'd take [B]B or D[/B]

Carmen is serving her child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories. Carmen wants the total calorie count from the french fries and chicken wings to be less than 500 calories. Using the values and variables given, write an inequality describing this. We have: 25f + 100c < 50 Note: We use < and not <= because it states less than in the problem.

Chang is serving his child french fries and chicken wings for lunch today. Let f be the number of french fries in the lunch, and let c be the number of chicken wings. Each french fry has 25 calories, and each chicken wing has 100 calories. Chang wants the total calorie count from the french fries and chicken wings to be less than 600 calories. Using the values and variables given, write an inequality describing this. We have [B]25f + 100c < 600[/B] as our inequality.

Charlie buys a 40 pound bag of cat food. His cat eats a 1/2 pound of food per day. Set up an equation: 1/2x = 40 where x is the number of days Multiply through by 2 [B]x = 80[/B]

Charlie collects rare coins. Of his display cases, 3 cases contain 15 coins each and 4 cases contain 17 coins each. On Monday, Charlie bought 10 new coins for his collection. How many total coins does he have in his collection now? We have cases * coins + extra coins: 3(15) + 4(17) + 10 45 + 68 + 10 [B]123 coins[/B]

Claire bought 180 candies and 140 pens for goody bags for her birthday. What is the largest number of goody bags that Claire can make so that each goody bag has the same number of candies and the same number of pens? (All candies and pens should be used.) We want the greatest common factor of 180 and 140. When we [URL=' GCF(180,140) in our calculator[/URL], we get 20. We divide our total candies and total pens by our GCF. So each bag has the following: Candies: 180/20 = [B]9 candies[/B] Pens: 140/20 = [B]7 pens[/B]

cody takes about 24,040 breaths a day. how many breaths is that in an hour? There are 24 hours in a day, so we divide 24,040 / 24 to get breaths per hour: 24,040 / 24 = [B]1001.67 [/B]

Connor runs 2 mi more each day than David. The sum of the distances they run each week is 56 mi. How far does David run each day? Let Connor's distance be c Let David's distance be d We're given two equations: [LIST=1] [*]c = d + 2 [*]7(c + d) = 56 [/LIST] Simplifying equation 2 by dividing each side by 7, we get: [LIST=1] [*]c = d + 2 [*]c + d = 8 [/LIST] Substitute equation (1) into equation (2) for c d + 2 + d = 8 To solve for d, we [URL=' this equation into our calculation engine[/URL] and we get: d = [B]3[/B]

Crystal is serving pizza at a birthday party for her brother there are 25 people coming to the party she wants each each person to have 3 pieces of pizza each pizza has 8 slices how many pizzas should she buy? 25 people * 3 pieces of pizza each = 75 pieces of pizza Each pizza has 8 pieces. 75 pieces / 8 pieces per pizza = 9.375 pizzas. Round up to [B]10[/B] since we want an integer answer.

Currently 16 out of every 25 American adults drink coffee every day. In a town with a population of 7900 adults, how many of these adults would you expect to drink coffee ever We'd multiply 16/25 times 7900: Using our [URL=' multiplication calculator by type 16/25 of 7900[/URL], we get: [B]5056[/B]

D is the set of days in the week. [B]D = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}[/B]

d is the set of days of the week [B]d = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}[/B]

Dan and four friends planned a 32-day hike to the summit of Mt. Everest. After they bought enough food to last the five people 32 days, three other friends decided that they also wanted to go along on the adventure. How long will the food last now that eight people are taking the trip? If the food last 32 days for 5 people, it lasts 32 * 5 = 160 days for 8 people. Therefore, for 8 people, the food lasts 160/8 = [B]20 days[/B]

Dan bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 26 cards left. How many cards did Dan start with? Let the starting amount of cards be s. We're given: [LIST] [*]Dan bought 7 new cards: s + 7 [*]The dog ate half of his collection. This means he's left with half, or (s + 7)/2 [*]Now, he's got 26 cards left. So we set up the following equation: [/LIST] (s + 7)/2 = 26 Cross multiply: s + 7 = 26 * 2 s + 7 = 52 To solve for s, [URL=' plug this equation into our search engine[/URL] and we get: s = [B]45[/B]

Dan bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 30 cards left. How many cards did Dan start with? Let the original collection count of cards be b. So we have (b + 8)/2 = 30 Cross multiply: b + 8 = 30 * 2 b + 8 = 60 [URL=' the equation calculator[/URL] [B]b = 52 cards[/B]

Dan needs 309 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 41 programs? Each box contains 41 programs, so we divide 309 programs by 41 programs per box to get our boxes: 309/41 using our [URL=' calculator[/URL] is 7.5365. Since we don't have fractional boxes, we round up to the next highest integer. [B]8 boxes[/B]

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Dave has a savings account that pays interest at 3 1/2% per year. His opening balance for May was $1374.67. He did not deposit or withdraw money during the month. The interest is calculated daily. How much interest did the account earn in May? First, determine n, which is 31, since May has 31 days. We use our [URL=' interest balance calculator[/URL] to get: [B]1,378.76[/B]

Dave rented a limousine for his wife's birthday. The hourly rate is $60. They used the limousine for 4 hours, plus Dave gave the driver a 20% tip. How much did he spend in total for the hourly charges plus tip? Hourly Spend = $60 * 4 = $240 Calculate 20% tip 0.2 * $240 = $48 Calculate total: $240 + 48 = [B]$288[/B]

Free Day of Year Calendar Calculator - Shows you the numeric day within a full calendar year and leap year

DeAndre is a spelunker (someone who explores caves). One day DeAndre is exploring a cave that has a series of ladders going down into the depths. Every ladder is exactly 10 feet tall, and there is no other way to descend or ascend (the other paths in the cave are flat). DeAndre starts at 186 feet in altitude, and reaches a maximum depth of 86 feet in altitude.Write an equation for DeAndre's altitude, using x to represent the number of ladders DeAndre used (hint: a ladder takes DeAndre down in altitude, so the coefficient should be negative). Set up a function A(x) for altitude, where x is the number of ladders used. Each ladder takes DeAndre down 10 feet, so this would be -10x. And DeAndre starts at 186 feet, so we'd have: [B]A(x) = 186 - 10x[/B]

Dennis was getting in shape for a marathon. The first day of the week he ran n miles. Dennis then added a mile to his run each day. By the end of the week (7 days), he had run a total of 70 miles. How many miles did Dennis run the first day? Setup distance ran for the 7 days: [LIST=1] [*]n [*]n + 1 [*]n + 2 [*]n + 3 [*]n + 4 [*]n + 5 [*]n + 6 [/LIST] Add them all up: 7n + 21 = 70 Solve for [I]n[/I] in the equation 7n + 21 = 70 [SIZE=5][B]Step 1: Group constants:[/B][/SIZE] We need to group our constants 21 and 70. To do that, we subtract 21 from both sides 7n + 21 - 21 = 70 - 21 [SIZE=5][B]Step 2: Cancel 21 on the left side:[/B][/SIZE] 7n = 49 [SIZE=5][B]Step 3: Divide each side of the equation by 7[/B][/SIZE] 7n/7 = 49/7 n =[B] 7 [URL='

Dylans mother tells Dylan he must spend less time playing electronic games. On the weekends he spends 9.5 hours playing electronic games. If he plays between 13 and 19 hours each week, how many hours does he play games on weekdays? Let x equal the number of hours Dylan plays electronic games per week. [U]Set up our inequality:[/U] 13 <= x <= 19 [U]To see how much he plays during weekdays, subtract off the weekend time[/U] 13 - 9.5 <= x <= 19 - 9.5 [B]3.5 <= x <= 9.5[/B]

Edna plans to treat her boyfriend Curt to dinner for his birthday. The costs of their date options are listed next to each possible choice. Edna plans to allow Curt to choose whether they will eat Mexican food ($25), Chinese food ($15), or Italian food ($30). Next, they will go bowling ($20), go to the movies ($30) or go to a museum ($10). Edna also is deciding between a new wallet ($12) and a cell phone case ($20) as possible gift options for Curt. What is the maximum cost of this date? Edna has 3 phases of the date: [LIST=1] [*]Dinner [*]Event after dinner [*]Gift Option [/LIST] In order to calculate the maximum cost of the date, we take the maximum cost option of all 3 date phases: [LIST=1] [*]Dinner - Max price is Italian food at $30 [*]Event after dinner - Max price is movies at $30 [*]Gift Option - Max price option is the cell phone cast at $20 [/LIST] Add all those up, we get: $30 + $30 + $20 = [B]$80[/B]

Eight workers dug 3/8 of a tunnel in 10 days. If they need to finish the remaining 5/8 of the tunnel in 3 & 1/3 days, how many more workers must they hire? Eight workers * 10 days = 80 days for one worker If 3/8 of a tunnel took 80 days for one worker, then each 1/8 of a tunnel takes a single worker: 80/3 = 26 & 2/3 days Multiply by 5 for the remaining 5/8 and we get: 133 & 1/3 We need 133 & 1/3 / 3 & 1/3 = 40 workers needed Additional workers = Workers Needed - Original Workers Additional workers = 40 - 8 Additional workers = [B]32[/B]

Elijiah spent $6.20 for lunch everyday for 5 school days. He had $50 in his account. How much money was left over in his account? Elijiah starts with $50 He spends $6.20 per day * 5 days = 31 Leftover = 50 - 31 Leftover = [B]19[/B]

Erica earned 771.84 working as a carpenter. She worked for 8 days. How much did she earn per day? Daily earnings = Total Earnings / Days Worked Daily earnings = 771.84 / 8 Daily earnings = [B]96.48[/B]

Ethan has $9079 in his retirement account, and Kurt has $9259 in his. Ethan is adding $19per day, whereas Kurt is contributing $1 per day. Eventually, the two accounts will contain the same amount. What balance will each account have? How long will that take? Set up account equations A(d) where d is the number of days since time 0 for each account. Ethan A(d): 9079 + 19d Kurt A(d): 9259 + d The problems asks for when they are equal, and how much money they have in them. So set each account equation equal to each other: 9079 + 19d = 9259 + d [URL=' this equation into our search engine[/URL], we get [B]d = 10[/B]. So in 10 days, both accounts will have equal amounts in them. Now, pick one of the account equations, either Ethan or Kurt, and plug in d = 10. Let's choose Kurt's since we have a simpler equation: A(10) = 9259 + 10 A(10) = $[B]9,269 [/B] After 10 days, both accounts have $9,269 in them.

Farmer Yumi has too many plants in her garden. If she starts out with 150 plants and is losing them at a rate of 4% each day, how long will it take for her to have 20 plants left? Round UP to the nearest day. We set up the function P(d) where d is the number of days sine she started losing plants: P(d) = Initial plants * (1 - Loss percent / 100)^d Plugging in our numbers, we get: 20 = 150 * (1 - 4/100)^d 20 = 150 * (1 - 0.04)^d Read left to right so it's easier to read: 150 * 0.96^d = 20 Divide each side by 150, and we get: 0.96^d = 0.13333333333 To solve this logarithmic equation for d, we [URL=' it in our search engine[/URL] and we get: d = 49.35 The problem tells us to round up, so we round up to [B]50 days[/B]

Flight is $295 and car rental is $39 a day, if a competition charges $320 and $33 a day car rental, which is cheaper? Set up cost function where d is the number of days: [LIST] [*]Control business: C(d) = 39d + 295 [*]Competitor business: C(d) = 33d + 320 [/LIST] Set the [URL=' functions equal to each other[/URL]: We get d = 4.1667. The next integer day up is 5. Now plug in d = 1, 2, 3, 4. For the first 4 days, the control business is cheaper. However, starting at day 5, the competitor business is now cheaper forever.

Goal is to take at least 10,000 steps per day. According to your pedometer you have walked 5,274 steps. Write and solve an inequality to find the possible numbers of steps you can take to reach your goal. [U] Subtract off the existing steps (s) from your goal of 10,000[/U] g >= 10000 - 5274 [B]g >= 4726[/B] [I]Note: we use >= since 10,000 steps meets the goal as well as anytihng above it[/I]

This software declassifies anonymous website visitors. It tells you their company, what pages they view, and gathers the contact information for decision makers at the company. And I've negotiated a free, 7 day trial for you to try it out. This software is best if you sell or deal with B2B transactions. Enjoy this [URL=' Analytics on Steroids[/URL].

gretchen cycles 65 miles in one week. Find her rate of cycling in miles per day 65 miles per week / 7 days per week = [B]9.29 miles per day[/B]

Hannah can make 3,500 cupcakes in 1 week. How many cupcakes can she make in 1 day? 3,500 cupcakes / week * 1 week / 7 days 3500 cupcakes / 7 days [B]500 cupcakes per day[/B]

Hans rented a truck for one day. There was a base fee of 16.95, and there was an additional charge of 76 cents for each mile driven. Hans had to pay 152.99 when he returned the truck. For how many miles did he drive the truck? Set up the equation where x is the amount of miles he drove: 0.76x + 16.95 = 152.99 [URL=' this equation into our calculator[/URL]: x = 179 miles

Happy Paws charges $16.00 plus $1.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $2.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. Happy Paws Cost: C = 16 + 1.5h Woof Watchers: C = 11 + 2.75h Setup the equation where there costs are equal 16 + 1.5h = 11 + 2.75h Subtract 11 from each side: 5 + 1.5h = 2.75h Subtract 1.5h from each side 1.25h = 5 Divide each side by 1.25 [B]h = 4[/B]

Happy Paws charges $19.00 plus $5.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $6.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours. [B]Happy Paws cost equation:[/B] 5.50h + 19 [B]Woof Watchers cost equation:[/B] 6.75h + 11 [B]Set them equal to each other:[/B] 5.50h + 19 = 6.75h + 11 Using our [URL=' solver[/URL], we get [B]h = 6.4[/B].

Suppose company A charges a rate of $40 per day and Company B charges a $60 fee plus $40 per day. For what number of days is the cost the same?

40d = 60 + 40d d has no solution. Are you sure it was 40 days for both Company A and B?

A candy vendor analyzes his sales records and ?nds that if he sells x candy bars in one day, his pro?t(in dollars) is given byP(x) = ? 0.001x2 + 3x ? 1800 (a.) Explain the signi?cance of the number 1800 to the vendor. (b.) What is the maximum pro?t he can make in one day, and how many candy bars must he sell to achieve it? I got 1800 as the amount he starts with, and can't go over. maximum pro?t as 4950 and if I got that right I am getting stuck on how to find how many candy bars. Thanks

a) 1800 is the cost to run the business for a day. To clarify, when you plug in x = 0 for 0 candy bars sold, you are left with -1,800, which is the cost of doing business for one day. b) Maximum profit is found by taking the derivative of the profit equation and setting it equal to 0. P'(x) = -0.002x + 3 With P'(x) = 0, we get: -0.002x + 3 = 0 Using our [URL=' solver[/URL], we get: x = 1,500 To get maximum profit, we plug in x = 1,500 to our [I]original profit equation[/I] P(1,500) = ? 0.001(1,500)^2 + 3(1,500) ? 1800 P(1,500) = -2,250 + 4,500 - 1,800 P(1,500) = $[B]450[/B]

How many days are there in 12 weeks? Use the following information to convert this time to days 12 weeks * 7 days / week = [B]84 days[/B]

How many hours are in d days Since 1 day equals 24 hours, we have: [B]24d[/B]

How many rides per day to reach 150 rides in 90 days? Set up a proportion of rides per day where r is the number or rides per day: 150/90 = r/1 Type [URL=' proportion into our search engine[/URL] and we get: r = 1.66 7

how much are you paid by the minute if you get $170 a day? 170 / day * 1 day / 24 hours * 1 hour / 60 minutes 170 / (60*24) per minut 170 / 1440 [B]11.8 cents per minute[/B]

I have $36 dollars and it goes up by 3 every day how much money would I have after 500 days We have a balance function B(d) where d is the number of days passed since we first had $36: B(d) = 3d + 36 The problem asks for B(500): B(500) = 3(500) + 36 B(500) = 1500 + 36 B(500) = [B]1536[/B]

I have 10 boxes, i gave my Mom 2 today. The next day i gave her 7. How much does Mom have now? We start with 10 boxes. We give Mom 2, so Mom has 2 boxes: 2 boxes The next day, we give her 7 more boxes. We add 7 boxes to the 2 boxes Mom has: 2 + 7 = [B]9 boxe[/B]s

I play volleyball 3 days a week for 2 hours how many hours do I play per month? 2 hours per day * 3 days per week * 4 weeks in a month = [B]24 hours per month[/B]

If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel? If one person dug the tunnel, it would take 100 days * 12 workers = 1,200 days. 1200 days / 20 workers = [B]60 days[/B]

If 4 people have the same 7 shirts, what is the chance that they will wear the same shirt on one day? [LIST=1] [*]For each person, the probability they all wear the first shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [*]For each person, the probability they all wear the second shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [*]For each person, the probability they all wear the third shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [*]For each person, the probability they all wear the fourth shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [*]For each person, the probability they all wear the fifth shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [*]For each person, the probability they all wear the sixth shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [*]For each person, the probability they all wear the seventh shirt is 1/4 * 1/4 * 1/4 * 1/4 = 1/256 [/LIST] Now, we add up all those probabilities to get our answer, since any of the 7 scenarios above meets the criteria: (1 + 1 + 1 + 1 + 1 + 1 + 1)/256 [B]7/256[/B]

If ben recently paid a $3.77 fine for a book that was 13 days late, what is the daily fine? Daily Fine = Total Fine / Number of Days Daily Fine = $3.77 / 13 days Daily Fine = [B]$0.29[/B]

If I have 48 days to finish a 337 page book how many pages a day will I have to read each day 337 pages / 48 days =[B] 7.02 pages per day[/B]

If Jason have 90 pills and have to take 3 pills a day for 3 weeks how many pills do Jason have left? 1 week = 7 days 3 weeks = 7 days * 3 = 21 days 3 pills per day * 21 days = 63 pills Subtract the 63 pills from the 90 pills to get: 90 - 63 = [B]27 pills left[/B]

If Susie sleeps for 8 hours, what fraction of the day is she asleep? A day has 24 hours, so Susie slept 8/24 of a day. [URL=' our fraction simplifier[/URL], we get 8/24 = [B]1/3[/B] of a day.

If Tanya eats the box of donuts before she goes to bed, she'll wake up in a fog the next day. If she is in a fog, she will not do well on the SAT test that she will take the next day. If she doesn't do well on that SAT test, she will not get a scholarship to college and will have to pay her own way. Can we conclude that if Tanya eats the box of donuts before she goes to age that she will not get a scholarship to college? [B]Yes [/B] [LIST] [*]IF she eats the donuts, she'll wake up in a fog. [*]IF she is in a fog, she will not do well on the test [*]IF she doesn't do well on the test, she will not get a scholarship [/LIST]

If the temperature during the day is 6 and the temperature drops 15 after sunset, what is the temperature at night? A drop in temperature means we subtract, so we have: 6 - 15 = [B]-9 or 9 below zero[/B]

If there are n days in a vacation, how many hours are there in a vacation? 1 day = 24 hours n days = [B]24n[/B] hours

If Tom makes 2.9 million dollars a day how much would he make in a decade 2.9 million dollars per day * 365 days per year * 10 years in a decade = [B]10,585,000,000[/B]

If you have $272, and you spend $17 each day, how long would it be until you had no money left? Let d be the number of days. We have a balance expression of: 272 - 17d We want to know when the balance is 0, so we set 272 - 17d equal to 0. 272 - 17d = 0 To solve for d, we [URL=' - 17d = 0']type this equation into our search engine[/URL] and we get: d = [B]16[/B]

If you put $1 a day away and every day you add a dollar to the previous days amount, how much would you have after 100 days Day 1, you have 1 Day 2, you have 1 + 1 = 2 Day 3, you have 1 + 2 = 3 So our formula for day n is: D(n) = n D(100) = [B]100[/B]

Imagine a researcher posed a null hypothesis that in a certain community, the average energy expenditure should be 2,100 calories per day. He randomly sampled 100 people in that community. After he computed the t value by calculating a two-tailed t-statistic, he found that the probability value was 0.10. Thus, he concluded: a. The average energy expenditure was bigger than 2,100 calories per day b. The average energy expenditure was smaller than 2,100 calories per day c. He could not reject the null hypothesis that the average energy expenditure was 2,100 calories per day d. The average energy expenditure was either more than 2,100 calories per day or less than 2,100 calories per day [B]c. He could not reject the null hypothesis that the average energy expenditure was 2,100 calories per day[/B] [I]p-value is higher than 0.05[/I]

In 16 years, Ben will be 3 times as old as he is right now. Let Ben's age today be a. We're given: a + 16 = 3a [URL=' this equation into the search engine[/URL], and we get: a = [B]8[/B]

In 20 years charles will be 3 times as old as he is now. How old is he now? Let Charles's age be a today. We're given: a + 20 = 3a [URL=' we type this equation into our search engine[/URL], we get: [B]a = 10 [/B] Let's check our work in our given equation: 10 + 20 ? 3(10) 30 = 30 <-- Checks out!

In a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are produced in a day, of which 6 are faulty, what is the difference between the experimental probability and the theoretical probability? Theoretical probability = Failure Rate * Tires Theoretical probability = 0.002 * 1000 Theoretical probability = 2 The experimental probability was given as 6, so the difference is: 6 - 2 = [B]4[/B]

In a given year, Houston has good air quality 48% of the days, moderate air quality 41% of the days, and unhealthy air quality 4% of the days. How many days per year do residents have unhealthy air quality? 4% of 365 days in a year = [B]14.6 days. If we are talking full days, we have 14.[/B]

In a golf tournament Ned was 4 under par on Saturday and 5 over or on Sunday. What is the difference in his score on Sunday compared to his score on Saturday Givens and opening thoughts: [LIST] [*]Think of par as 0 or average. [*]Under par is negative [*]Over par is positive [*]We have 4 under par as -4 [*]We have 5 over par as +5 [/LIST] The difference is found by subtracting: +5 - -4 +5 + 4 [B]9 strokes[/B]

In Chicago it snowed 65% of the days in January. How many days did it NOT snow in January? If it snowed 65% of the days in January, then it did NOT snow 100% - 65% = 35% of the days in January. Since there are 31 days in January, we have: 35% * 31 = 10.85 days in January. So we round down up to [B]11[/B] days.

In one day, a store sells 14 pairs of jeans. The 14 jeans represent 20% of the total number of items sold that day. How many items did the store sell in one day? Explain or show how you got your answer. 14 = 20%s where s is the number of items sold in one day. We can write 20% as 0.2, so we have: 0.2s = 14 [URL=' this equation into the search engine[/URL], and we get: s = [B]70[/B]

In the wild, monkeys eat an average of 28 bananas a day with a standard deviation of 2 bananas. One monkey eats only 21 bananas. What is the z-score for this monkey? Is the number of bananas the monkey eats unusually low? Using [URL=' z-score calculator[/URL], we get: Z < -3.5 P(Z < -3.5) = 0.499767 Also, this [B]is unusually low as it's more than 3 deviations away from the mean[/B]

Isabel will run less than 36 minutes today. So far, she has run 22 minutes. What are the possible numbers of additional minutes she will run? Set up our inequality. If she ran 22 minutes, we need to find an expression to find out the remaining minutes x + 22 < 36 Subtract 22 from each side: x < 14 Remember, she cannot run negative minutes, so our lower bound is 0, so we have: [B]0 < x < 14 [/B]

[SIZE=4]Ishaan is 72 years old and William is 4 years old. How many years will it take until Ishaan is only 5 times as old as William? [U]Express Ishaan and William's age since today where y is the number of years since today, we have:[/U] i = 72+y w = 4+y [U]We want the time for Ishaan age will be 5 times William's age:[/U] i = 5w 72 + y = 5(4 + y) We [URL=' this equation into our search engine [/URL]and get: y = [B]13[/B] [/SIZE]

It costs a $20 flat fee to rent a lawn mower, plus $5 a day starting with the first day. Let x represent the number of days rented, so y represents the charge to the user (in dollars) Set up our function: [B]y = 20 + 5x[/B]

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. If Jack had 2 chocolates left, then the total given to his friends is: 50 - 2 = 48 Let f be the number of friends at his birthday party. Then we have: 3f = 48 [URL=' this equation into our search engine[/URL], we get: [B]f = 16[/B]

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left. Let f be the number of Jacks's friends. We have the following equation to represent the chocolates: 3f + 2 = 50 To solve this equation for f, we [URL=' it in the math engine[/URL] and we get: f = [B]16[/B]

Jake Callahan stars in the new TV series Stone Simons: Kid Astronaut. The day after the first episode airs, Jake receives a bunch of fan mail. He splits all the letters into 3 equal stacks to open with his mom and his sister. Each stack contains 21 letters. Which equation can you use to find the number of letters n Jake receives? The number of letters n is represented by number of stacks (s) times letter per stack (l). We're given s = 3 and l = 21, so we have: n = 21(3) n = [B]63[/B]

jake did 92 sit-ups each day that he exercised. if he exercised every day for 4 weeks approximately how many setups did he do? 7 days per week * 4 weeks = 28 days 92 sit-ups per day * 28 days = 2,576 sit-ups

Jake earns 25% commission selling ice cream. How much does he earn for each days sale? [LIST] [*]a) Friday $100 [*]b) Saturday $180 [/LIST] Commission = Sales * Commission Percent [U]Calculate part a:[/U] Commission = 100 * 25% Commission = [B]$25[/B] [U]Calculate part b:[/U] Commission = 180 * 25% Commission = [B]$45[/B]

jane has 55$ to spend at cedar point. the admission price is 42$ and each soda is 4.25. write an inequality to show how many sodas he can buy. Let s be the number of sodas. Cost for the day is: Price per soda * s + Admission Price 4.25s + 42 We're told that Jane has 55, which means Jane cannot spend more than 55. Jane can spend up to or less than 55. We write this as an inequality using <= 55 [B]4.25s + 42 <= 55[/B] [B][/B] If the problems asks you to solve for s, we type it in our math engine and we get: Solve for [I]s[/I] in the inequality 4.25s + 42 ? 55 [SIZE=5][B]Step 1: Group constants:[/B][/SIZE] We need to group our constants 42 and 55. To do that, we subtract 42 from both sides 4.25s + 42 - 42 ? 55 - 42 [SIZE=5][B]Step 2: Cancel 42 on the left side:[/B][/SIZE] 4.25s ? 13 [SIZE=5][B]Step 3: Divide each side of the inequality by 4.25[/B][/SIZE] 4.25s/4.25 ? 13/4.25 [B]s ? 3.06[/B]

Jay earns S amount per day for working in a company. His total expenses per day is equal to the amount E. Write an expression to show how much he earned per day in a month. Suppose he is working for 20 days per month. [LIST=1] [*]Each day, Jay earns a profit of S - E. [*]For one month (30 days), he earns 30(S - E) [*]For 20 working days in a month, he earns 20(S - E) [/LIST]

Jazmin is a hairdresser who rents a station in a salon for daily fee. The amount of money (m) Jazmin makes from any number of haircuts (n) a day is described by the linear function m = 45n - 30 A) A haircut costs $30, and the station rent is $45 B) A haircut costs $45, and the station rent is $30. C) Jazmin must do 30 haircuts to pay the $45 rental fee. D) Jazmin deducts $30 from each $45 haircut for the station rent. [B]Answer B, since rent is only due once. Profit is Revenue - Cost[/B]

Jeff Bezos, who owns Amazon, has a net worth of approximately $143.1 billion (as of mid-2018). An employee in the Amazon distribution center earns about $13 an hour. The estimated lifespan of the employee is 71 years. If the employee worked 24 hours a day, every day of the year from the moment of his birth, how many lifespans would it take for him to earn wages equivalent to Jeff Bezos' net worth? Round the answer to the nearest whole number. Calculate earnings per lifespan: Earnings per lifespan = lifespan in years * Annual Earnings Earnings per lifespan = 71 * 13 * 24 * 365 <-- (24 hours per day * 365 days per year) Earnings per lifespan = 8,085,480 Calculate the number of lifespans needed to match Jeff Bezos earnings: Number of lifespans = Jeff Bezos Net Worth / Earnings Per Lifespan Number of lifespans = 143,100,000,000 / 8,085,480 Number of lifespans = [B]17,698.39 ~ 17,699[/B]

Jerrys Bakery makes 144 muffins daily. How many muffins do they make in 7 days? Explain. Total muffins = Muffins per day * number of days Total muffins = 144 * 7 Total muffins = [B]1,008[/B]

Jessie works in a hat shop for 4 hours per day. She worked a total of 592 hours over the past year. How many days did she turn up for work? Days worked = Total Hours Worked / Hours worked per day Days worked = 592/4 Days worked = [B]148 days[/B]

Jill worked 8 hours Saturday at $8.50 per hour. How much did she earned? Earnings = Hours worked * hourly rate Earnings = 8 * $8.50 Earnings = [B]$68[/B]

Joe earns $9 per hour. He worked x hours on both Wednesday and Friday, and 8 hours on both Tuesday and Saturday. Write an expression to represent how much joe earned. Earnings = Hourly Rate * hours worked, so we have: [LIST] [*]Wednesday: 9x [*]Friday: 9x [*]Tuesday: 9(8) = 72 [*]Saturday: 9(8) = 72 [/LIST] Joe's total earnings come from adding up all 4 days: 9x + 9x + 72 + 72 Combine like terms: (9 + 9)x + (72 + 72) [B]18x + 144[/B]

Joey and Romnick play in the same soccer team. Last Saturday, Romnick scored 3 more goals than Joey,but together they scored less than 9 goals. What are the possible number of goal Romnick scored? Let j be Joey's goals Let r by Romnick's goals We're given 1 equation and 1 inequality: [LIST=1] [*]r = j + 3 [*]r + j < 9 [/LIST] Rearranging equation 1 for j, we have: [LIST=1] [*]j = r - 3 [*]r + j < 9 [/LIST] Substitute equation (1) into inequality (2) for j: r + r - 3 < 9 2r - 3 < 9 [URL=' this inequality into our math engine[/URL], we get: [B]r < 6[/B]

John delivers 165 newspaper everyday. How many copies of newspaper will he deliver in 30 days Total Newspapers delivered in 30 days = Newspapers delivered per day * 30 Total Newspapers delivered in 30 days = 165 * 30 Total Newspapers delivered in 30 days = [B]4,950[/B]

John need 250 hours of community service. He volunteers 2 days a week for 4 hours. How long will it take John to reach 250 hours? Each week, John serves 2 days * 4 hours per day = 8 hours. We divide 250/8 to get [B]31.25 weeks[/B].

Jordan practices his trombone for 45 minutes each day. Write an expression for the number of minutes Jordan practices she practices the trombone in d days. Let m = the number of minutes practiced. We ave: [B]m = 45d[/B]

Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. Write an equation that shows how the total number of posts, y, depends on the number of elapsed days, x. y= Julia starts with 9 and adds one post per day on each of x days, so we have: [B]y = x + 9[/B]

July has 31 days how many seconds are there in July Using our [URL=' conversion calculator[/URL], we get: 31 days = [B]2,678,400 seconds[/B]

Ken drinks 2/7 a carton of milk each day. How much milk does he drink in 3 days? 2/7 per day * 3 days = 2 * 3/7[B] = 6/7[/B]

Kendrick set his watch 9 seconds behind, and it falls behind another 1 second everyday.How far behind is Kendrick's watch if he last set it 23 days ago? Seconds Behind = 9 seconds behind + 1 second everyday * 23 days Seconds Behind = 9 + 23 Seconds Behind = 32

Kevin saw the hit movie at the theater on sunday. On Monday, Kevin told 4 friends about the movie. The day after that, each of those friends told 4 more friends about the movie. If this pattern continues, how many people would have been told about the movie by Friday. Monday: 4 Tuesday: 4 x 4 = 16 Wednesday: 16 x 4 = 64 Thursday: 64 x 4 = 256 Friday: 256 x 4 = [B]1,024[/B]

Kim earns $30 for babysitting on Friday nights. She makes an average of $1.25 in tips per hour. Write the function of Kim's earnings, and solve for how much she would make after 3 hours. Set up the earnings equation E(h) where h is the number of hours. We have the function: E(h) = 1.25h + 30 The problem asks for E(3): E(3) = 1.25(3) + 30 E(3) = 4.75 + 30 E(3) = [B]$34.75[/B]

Kyle got 3 shirts on his birthday. He had already 5 shirts.how many shirts does he have? He started with 5 shirts: 5 He got 3 more shirts, which means we add: 5 + 3 = [B]8 shirts[/B]

Leifs rich uncle decided to give him $1.00 the first day of Christmas and to double the amount each subsequent day. How much money (in dollars) does he recieve after all 12 days of Christmas? Let's look at each day: [LIST=1] [*]1 [*]2 [*]4 [*]8 [*]16 [*]32 [*]64 [*]128 [*]256 [*]512 [*]1024 [*]2048 [/LIST] Total received: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 = [B]4,095[/B]

Leo collects 4 green apples each day for 10 days. How many apples does Leo collect? Apples Collected = Apples per day * number of days Apples Collected = 10 * 4 Apples Collected = [B]40 apples[/B]

Leonard earned $100 from a bonus plus $15 per day (d) at his job this week. Which of the following expressions best represents Leonards income for the week? We set up an income function I(d), were d is the number of days Leonard works: [B]I(d) = 15d + 100 [/B] Each day, Leonard earns $15. Then we add on the $100 bonus

Levi invested $630 in an account paying an interest rate of 4.6% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $970? 3,425 days, per the [URL=' calculator[/URL].

Luke and 5 friends packed enough food for a 2-week canoe trip. If one extra person decided to go on the trip at the last minute, how long will the food last? Luke and 5 friends = 6 people. 2 weeks = 14 days, so the food lasts 6 people * 14 days = 84 days One extra person on the trip means 6 + 1 = 7 people. 84 days of food / 7 people = [B]12 days[/B]

Maria called her sister long distance on Wednesday. The first 5 minutes cost $3, and each minute after that cost $0.25. How much did it cost if they talked for 15 minutes? First 5 minutes: $3 If they talked 15 minutes, the additional charge past 5 minutes is: 0.25 * (15 - 5) 0.25 * 10 minutes = $2.5 We add this to the first 5 minutes: $3 + $2.5 = [B]$5.50[/B]

Maria runs each lap in 5 minutes. She will run less than 7 laps today. What are the possible numbers of minutes she will run today? Total Time < Laps * minutes per laps Total Time < 7 * 5 [B]Total Time < 35[/B]

Mario buys 3 postcards during each day of vacation. After 4 days of vacation, how many total post cards will Mario have bought? 3 postcards per day x 4 days of vacation = [B]12 postcards[/B]

Melissa used 12 gallons of gas on Saturday and 234 gallons of gas on Sunday. How many more gallons of gas did she use on Sunday? 234 - 12 = [B]222[/B]

Months with 31 days as set M Our cardinality of this set is 7, as show below: {[B]January, March, May, July, August, October, December[/B]}

Mr. Elk is secretly a huge fan of Billie Eilish, and is saving up for front row seats. He puts $250 in the bank that has an interest rate of 8% compounded daily. After 4 years, Billie is finally hitting up NJ on her tour. How much money does Mr. Elk have in the bank? (rounded to the nearest cent) * 4 years = 365*4 days 4 years = 1,460 days. Using this number of compounding periods, we [URL=' this into our compound interest calculator[/URL] to get: [B]$344.27[/B]

Mrs. Davis tutored 2.5 hours on Monday night and 1.5 hours on Tuesday night.she earned $72. How much did mrs. Davis earn per hour? Total hours tutored: 2.5 + 1.5 = 4 hours Earnings per hour = Earnings/Total hours Earnings per hour = 72/4 Earning per hour = [B]$18[/B]

Nate jars 2 liters of jam everyday. How many days did Nate spend making jam if he jarred 8 liters of jam? 2 liters per 1 day and 8 liters per x days. Set up a proportion: 2/1 = 8/x Cross multiply: 2x = 8 Divide each side by 2 x = [B]4 days[/B].

Nick is given $50 to spend on a vacation . He decides to spend $5 a day. Write an equation that shows how much money Nick has after x amount of days. Set up the function M(x) where M(x) is the amount of money after x days. Since spending means a decrease, we subtract to get: [B]M(x) = 50 - 5x[/B]

Of the worlds 7.5 billion people, 1.2 billion people live on less than 4 per day. Calculate the percent of the worlds population who lives on less than 4 per day? We want the percentage 1.2/7.5. [URL=' this fraction into our search engine[/URL], choose percentage, and we get: [B]16%[/B]

Oliver earns $50 per day plus $7.50 for each package he delivers. If his paycheck for the first day was $140, how many packages did he deliver that day? His total earnings per day are the Flat Fee of $50 plus $7.50 per package delivered. We have: 50 + 7.50p = 140 where p = the number of packages delivered Using our [URL=' solver[/URL], we have: [B]p = 12[/B]

Olivia spends 5 hours a day at school and sleeps for 9 hours a day. What fraction of the day does she have left for other activities? Write your answer as a fraction in its simplest form. Add up existing hours for school and sleep School + sleep = 5 + 9 = 14 hours Since there are 24 hours in a day, she has 24 - 14 = 10 hours remaining. The fraction we want is 10/24. But we can simplify this. Using our [URL=' fractions calculator[/URL], we get: [B]5/12[/B]

On a Friday evening a pizza shop had orders for 4 pepperoni, 97 vegetable, and 335 cheese pizzas. If the 4 cooks each made an equal number of pizzas, how many pizzas did each cook make? Total Pizzas Made = 4 pepperoni + 97 vegetable + 335 cheese Total Pizzas Made = 436 Equal number of pizzas per cook = 436 pizzas / 4 cooks Equal number of pizzas per cook = [B]109[/B]

On Melissa 6 birthday she gets a $2000 cd that earns 4% interest, compounded semiannual. If the cd matures on her 16th birthday, how much money will be available? Semiannual compounding means twice a year. With 16 - 6 = 10 years of compounding, we have: 10 x 2 = 20 semiannual periods. [URL=' our interest on balance calculator[/URL], we get: [B]$2,971.89[/B]

On Monday 208 student went on a trip to the zoo . All 5 buses were filled and 8 student had to travel in car . How many student were in each bus? Calculate the number of students who traveled by bus: Total bus Students = Total Students - Total Car Students Total bus Students = 208 - 8 Total bus Students = 200 Figure how the students per bus: Students per bus = Total Bus Students / Number of Filled Busses Students per bus = 200/5 Students per bus = [B]40[/B]

On Monday the office staff at your school paid 8.77 for 4 cups of coffee and 7 bagels. On Wednesday they paid 15.80 for 8 cups of coffee and 14 bagels. Can you determine the cost of a bagel Let the number of cups of coffee be c Let the number of bagels be b. Since cost = Price * Quantity, we're given two equations: [LIST=1] [*]7b + 4c = 8.77 [*]14b + 8c = 15.80 [/LIST] We have a system of equations. We can solve this 3 ways: [LIST=1] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Rule[/URL] [/LIST] No matter which method we use, we get the same answer [LIST] [*]The system is inconsistent. Therefore, we have no answer. [/LIST]

on monday, 276 went on a trip, all had to get in 7 buses, how many students were in each bus? 276 students / 7 buses = 39.43 students per bus We round up to [B]40 students per bus[/B]

On Monday, 417 students went on a trip to the zoo. All 7 buses were filled and 4 students had to travel in cars. How many students were in each bus? 417 - 4 in cars = 413 413 students remaining / 7 cars = [B]59 students per bus[/B]

On the day of a child's birth, a deposit of $25,000 is made in a trust fund that pays 8.5% interest. Determine that balance in this account on the child's 25th birthday. Using our [URL=' interest calculator[/URL], we get: [B]192,169.06 [/B]

On the first day of school each student in the class of 26 will bring 4 writing books and 2 maths books. How many books will they have altogether? Each student has 4 books plus 2 math books = 6 total books per student Calculate total books Total Books = Number of students * books per student Total Books = 26 * 6 Total Books = [B]156[/B]

On the first day of ticket sales the school sold 3 senior citizen tickets and 10 child tickets for a total of $82. The school took in $67 on the second day by selling 8 senior citizen tickets And 5 child tickets. What is the price of each ticket? Let the number of child tickets be c Let the number of senior citizen tickets be s We're given two equations: [LIST=1] [*]10c + 3s = 82 [*]5c + 8s = 67 [/LIST] We have a system of simultaneous equations. We can solve it using any one of 3 ways: [LIST] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Rule[/URL] [/LIST] No matter what method we choose, we get: [LIST] [*][B]c = 7[/B] [*][B]s = 4[/B] [/LIST]

One bag of cat food will feed 3 cats for 40 days. If I buy 2 more cats, how long will on bag of cat food last? If 1 bag of cat food feeds 3 cats for 40 days, then 1 bag of cat food will feed 1 cat for 3 * 40 days = 120 days. Therefore, if I buy 2 more cats, I have 3 + 2 = 5 cats. 120 days / 5 cats = [B]24 days of food[/B]

One day a quarter of the class is absent and 21 children are present. How many children are there on the class when no one is away? If 1/4 of the class is absent, this means that 1 - 1/4 is present. Since 1 = 4/4, we have 4/4 - 1/4 = 3/4 of the class is present. If the full size of the class is c, then we have 3/4c = 21 [URL=' 3/4c = 21 into the search engine[/URL], we get: [B]c = 28[/B]

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.7 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 4200 MB. How many downloads of the standard version were there?

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.7 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 4200 MB. How many downloads of the standard version were there? Let s be the standard version downloads and h be the high quality downloads. We have two equations: [LIST=1] [*]h = 3s [*]2.7s + 4.7h = 4200 [/LIST] Substitute (1) into (2) 2.7s + 4.7(3s) = 4200 2.7s + 14.1s = 4200 Combine like terms: 16.8s = 4200 Divide each side by 16.8 [B]s = 250[/B]

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When Joana Mae, Precious Jewels and Molly Anne work together, they finish installing a garden in 3 days. The job could be completed if Joana Mae worked 4 days alone and Molly Anne worked 10 days alone, or if Precious Jewels worked 5 days alone and Molly Anne worked 3 days alone. How many days would it take each worker, alone, to complete the garden?

Rachel runs each lap in 6 minutes. She will run less than 8 laps today. What are the possible numbers of minutes she will run today Less than means an inequality. 6 minutes per lap * 8 laps = 48 minutes. If m is the number of minutes Rachel runs, then we have: [B]m < 48[/B]

Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the 3 days Rachel sold 19 books. Create an equation that can be used to find m, a number of books Rachel sold on Monday. Let me be the number of books Rachel sold on Monday. We're given Tuesday's book sales (t) and Wednesday's books sales (w) as: [LIST=1] [*]t = 2m [*]w = t - 6 [*]m + t + w = 19 [/LIST] Plug (1) and (2) into (3): Since t = 2m and w = t - 6 --> 2m - 6, we have: m + 2m + 2m - 6 = 19 Combine like terms: 5m - 6 = 19 [URL=' this equation into our search engine[/URL], we get: [B]m = 5[/B]

read 34 pages a day how many pages read in 2 weeks 2 weeks = 14 days 34 pages per day * 14 days = [B]476 pages[/B]

Researchers in Antarctica discovered a warm sea current under the glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate if 0.06 m per day. Which function can be used to find the thickness of the ice shelf in meters x days since the discovery? We want to build an function I(x) where x is the number of days since the ice shelf discovery. We start with 450 meters, and each day (x), the ice shelf loses 0.06m, which means we subtract this from 450. [B]I(x) = 450 - 0.06x[/B]

Reuben finished reading his book in x days. each day, he read 4 pages.His book has 28 pages. x (days) = Total Pages / Pages Per Day x = 28/4 [B]x = 7 days[/B]

Rick sold a total of 75 books during the first 22 days of May. If he continues to sell books at the same rate, how many books will he sell during the month of May? Set up a proportion of days to books where n is the number of books sold in May: 22/31 = 75/n Using our [URL=' calculator[/URL] and rounding to the next integer, we get: n = [B]106[/B]

Ruth has already jarred 3 liters of jam and will jar an additional 1 liter of jam everyday. How much jam did Ruth jar if she spent 7 days making jam? 7 days at 1 liter = 7 x 1 = 7. Add that 7 to our original 3 and we have, 7 + 3 = 10 liters of jam.

Sam bought 8 new basketball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 40 cards left. How many cards did Sam start with? Let the starting about of cards be s. Sam adds 8 new cards, so he has s + 8. Then the dog ate half, so he's left with half. Sam is left with 40 cards: (s + 8)/2 = 40 Cross multiply: s + 8 = 80 [URL=' s + 8 = 80 into the search engine[/URL], and we get [B]s = 72[/B]

Sarah makes $9 per hour working at a daycare center and $12 per hour working at a restaurant. Next week, Sarah is scheduled to work 8 hours at the daycare center. Which of the following inequalities represents the number of hours (h) that Sandra needs to work at the restaurant next week to earn at least $156 from these two jobs? Set up Sarah's earnings function E(h) where h is the hours Sarah must work at the restaurant: 12h + 9(8) >= 156 <-- The phrase [I]at least[/I] means greater than or equal to, so we set this up as an inequality. Also, the daycare earnings are $9 per hour * 8 hours Multiplying through and simplifying, we get: 12h + 72 >= 156 We [URL=' this inequality into the search engine[/URL], and we get: [B]h>=7[/B]

Savannah is a salesperson who sells computers at an electronics store. She makes a base pay of $90 each day and is also paid a commission for each sale she makes. One day, Savannah sold 4 computers and was paid a total of $100. Write an equation for the function P(x), representing Savannah's total pay on a day on which she sells x computers. If base pay is $90 per day, then the total commission Savannah made for selling 4 computers is: Commission = Total Pay - Base Pay Commission = 100 - 90 Commission = $10 Assuming the commission for each computer is equal, we need to find the commission per computer: Commission per computer = Total Commission / Number of Computers Sold Commission per computer = 10/4 Commission per computer = $2.50 Now, we build the Total pay function P(x): Total Pay = Base Pay + Commission * Number of Computers sold [B]P(x) = 90 + 2.5x[/B]

set of days with the letter n We have the set below: {Mo[B]n[/B]day, Wed[B]n[/B]esday, Su[B]n[/B]day}

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Suppose Rocky Mountain have 72 centimeters of snow. Warmer weather is melting at the rate of 5.8 centimeters a day. If snow continues to melt at this rate, after seven days of warm weather, how much snow will be left? Snow remaining = Starting snow - melt rate * days Snow remaining = 72 - 5.8(7) Snow remaining = 72 - 40.6 Snow remaining = [B]31.4 cm[/B]

Susan makes and sells purses. The purses cost her $15 each to make, and she sells them for $30 each. This Saturday, she is renting a booth at a craft fair for $50. Write an equation that can be used to find the number of purses Susan must sell to make a profit of $295 Set up the cost function C(p) where p is the number of purses: C(p) = Cost per purse * p + Booth Rental C(p) = 15p + 50 Set up the revenue function R(p) where p is the number of purses: R(p) = Sale price * p R(p) = 30p Set up the profit function which is R(p) - C(p) equal to 295 30p - (15p + 50) = 295 To solve this equation, [URL=' type it into our search engine[/URL] and we get: p = [B]23[/B]

The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 327 people entered the park , and the admission fee collected totaled 978.00 dollars . How many children and how many adults were admitted? Let the number of children's tickets be c. Let the number of adult tickets be a. We're given two equations: [LIST=1] [*]a + c = 327 [*]4a + 1.50c = 978 [/LIST] We can solve this system of equation 3 ways: [LIST] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Rule[/URL] [/LIST] No matter which method we choose, we get the same answers: [LIST] [*][B]a = 195[/B] [*][B]c = 132[/B] [/LIST]

The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day, 281 people entered the park, and the admission fees collected totaled $784 . How many children and how many adults were admitted? Let c be the number of children and a be the number of adults. We have two equations: [LIST=1] [*]a + c = 281 [*]4a + 1.5c = 784 [/LIST] Using our [URL=' equations calculator[/URL], we get: [LIST] [*][B]a = 145[/B] [*][B]c = 136[/B] [/LIST]

The age of woman 15 years ago Let a be the woman's age today. 15 years ago means we subtract 15 from a: [B]a - 15[/B]

The average cost of printing a book in a publishing company is c(x) = 5.5x+kx , where x is the number of books printed that day and k is a constant. Find k, if on the day when 200 were printed the average cost was $9 per book. We are given: c(200) = 9, so we have: 9 = 5.5(200) + k(200) 200k + 1100 = 9 Using our [URL=' solver[/URL], we get: [B]k = -5.455[/B]

The blue star publishing company produces daily "Star news". It costs $1200 per day to operate regardless of whether any newspaper are published. It costs 0.20 to publish each newspaper. Each daily newspaper has $850 worth of advertising and each newspaper is sold for $.30. Find the number of newspaper required to be sold each day for the Blue Star company to 'break even'. I.e all costs are covered. Build our cost function where n is the number of newspapers sold: C(n) = 1200+ 0.2n Now build the revenue function: R(n) = 850 + 0.3n Break even is where cost and revenue are equal, so set C(n) = R(n) 1200+ 0.2n = 850 + 0.3n Using our [URL=' solver[/URL], we get: [B]n = 3,500[/B]

The book Shelly has 235 pages. she has read 110 pages. If she reads 25 pages from now on, how many more days will it take her to complete the book? Subtract the pages read to get the unread pages: 235 - 110 = 125 unread pages Now figure out how many days, reading 25 pages per day, to read 125 pages 125/25 = [B]5 days[/B]

The construction crew has less than 7 days to complete the road repairs. Let d represent the number of days left to complete the road repairs. Less than means we don't include 7: [B]d < 7 [/B]

The cost of hiring a car for a day is $60 plus 0.25 cents per kilometer. Michelle travels 750 kilometers. What is her total cost Set up the cost function C(k) where k is the number of kilometers traveled: C(k) = 60 + 0.25k The problem asks for C(750) C(750) = 60 + 0.25(750) C(750) = 60 + 187.5 C(750) = [B]247.5[/B]

The cost to rent a construction crane is 450 per day plus 150 per hour. What is the maximum number of hours the crane can be used each day if the rental cost is not to exceed 1650 per day? Set up the cost function where h is the number of hours: C(h) = 150h + 450 We want C(h) <= 1650: 150h + 450 <= 1650 Using our [URL=' solver[/URL], we get: [B]h <= 8[/B]

The doubling time of a population of flies is 8 hours. a) By what factor does a population increase in 24 hours? b) By what factor does the population increase in 2 weeks? a) If the population doubles every 8 hours, then it doubles 3 times in 24 hours, since 24/8 = 3. So 2 * 3 = 6. The increase factor is [B]6[/B] b) Since a) is one full day, we now need to know how much it doubles in 14 days, which is 2 weeks. We take our factor of 6 for each day, and multiply it by 14: 14 * 6 = [B]84[/B]

The earth makes a full rotation in 24 hours. Jupiter takes approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Jupiter to complete a full rotation? Show your work using the correct conversion factors. Convert 58 days, 15 h, and 30 min to hours. [LIST=1] [*]Type [URL=' days[/URL] into the search engine to get 1,392 hours. [*]Add 15 hours to get 1,392 + 15 = 2,007 hours [*]Now convert the 30 min to hours. [URL=' 30 minutes into the search engine[/URL] to get 0.5 hours [*]Add up (1), (2), and (3) to get 1,392 + 15 + 0.5 = [B]2007.5[/B] hours for a full rotation. [/LIST]

The flu is starting to hit Lanberry. Currently, there are 894 people infected, and that number is growing at a rate of 5% per day. Overall, how many people will have gotten the flu in 5 days? Our exponential equation for the Flu at day (d) is: F(d) = Initial Flu cases * (1 + growth rate)^d Plugging in d = 5, growth rate of 5% or 0.05, and initial flu cases of 894 we have: F(5) = 894 * (1 + 0.05)^5 F(5) = 894 * (1.05)^5 F(5) = 894 * 1.2762815625 F(5) = [B]1141[/B]

the grass in jamies yard grew 16 centimeters in 10 days. how many days did it take for the grass to grow 1 centimeter We set up a proportion of centimeters to days where d is the number of days it takes for the grass to grow 1 centimeter: 16/10 = 1/d To solve this proportion for d, [URL=' type it in our search engine[/URL] and we get: d = [B]0.625 or 5/8[/B]

The half-life of a radioactive substance is 24 hours and there are 100 grams initially. What is the amount of substance remaining after one week? Using our [URL=' life calculator[/URL] converting to days since 24 hours is 1 day and one week is 7 days, we have: [B]0.78125[/B]

The half-life of radioactive kind of manganese is 6 days. How much will be left 18 days, if you start with 80 grams of it? Using our [URL=' calculator,[/URL] we get size [B]10[/B]. [MEDIA=youtube]-_FsUz_ZhXM[/MEDIA]

The holy bible contains 525 pages. A believer reads 10 pages during weekends and 15 pages during weekdays. How long will it take him to finish reading the bible? Take one 7 day week: 15 + 10 = 25 pages 525 pages/25 pages = [B]21 weeks[/B]

The minimum daily requirement of vitamin C for 14 year olds is at least 50 milligrams per day. An average sized apple contains 6 milligrams of vitamin C. How many apples would a person have to eat each day to satisfy this requirement? Let a be the number of apples required. The phrase [I]at least[/I] means greater than or equal to, so we have the inequality: 6a >= 50 To solve this inequality, we [URL=' it in our math engine[/URL] and we get: [B]a >= 8.3333 apples or rounded up to a full number, we get 9 apples[/B]

The number of days in t weeks and 5 days Each week has 7 days, so we have [B]d = 7t + 5[/B]

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard deviation of 2.1 days. What is the median recovery time? a. 2.7 b. 5.3 c. 7.4 d. 2.1 [B]b. 5.3 (mean, median, and mode are all the same in a normal distribution)[/B]

The Radio City Music Hall is selling tickets to Kaylas premiere at the Rockettes. On the first day of ticket sales they sold 3 senior citizen tickets and 9 child tickets for a total of $75. It took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price of each senior citizen ticket and each child ticket? Let the cost of child tickets be c Let the cost of senior tickets be s Since revenue = cost * quantity, we're given two equations: [LIST=1] [*]9c + 3s = 75 [*]5c + 8s = 67 [/LIST] To solve this simultaneous group of equations, we can use 3 methods: [LIST] [*][URL=' Method[/URL] [*][URL=' Method[/URL] [*][URL=' Rule[/URL] [/LIST] No matter which method we use, we get the same answer: [LIST] [*][B]c = 7[/B] [*][B]s = 4[/B] [/LIST]

The recommended daily calcium intake for a 20-year-old is 1,000 milligrams (mg). One cup of milk contains 299 mg of calcium and one cup of juice contains 261 mg of calcium. Which of the following inequalities represents the possible number of cups of milk [I]m[/I] and cups of juice [I]j[/I] a 20-year-old could drink in a day to meet or exceed the recommended daily calcium intake from these drinks alone? Total calcium = Milk calcium + Juice Calcium Calculate Milk Calcium: Milk Calcium = 299m where m is the number of cups of milk Calculate Juice Calcium: Juice Calcium = 261j where j is the number of cups of juice The phrase [I]meet or exceed[/I] means greater than or equal to, so we have an inequality, where Total Calcium is greater than or equal to 1000. So we write our inequality as: Milk calcium + Juice Calcium >= Total Calcium [B]299m + 261j >= 1000[/B]

The regular cost of a guitar is n. On Saturdays, all guitars are 15% off. What is the price of the guitar on Saturday? 15% = 0.15 If we take that price off, we have: 1 - 0.15 = 0.85 So the cost is [B]0.85n[/B]

The regular price for a television is Q dollars. Each Saturday televisions are 20% off (The discount is .2Q). What is the price of a television on Saturday in terms of Q? Q = Regular Price .2Q = Discount Discounted Price = Q - .2Q = [B]0.8Q[/B]

The set of months that contain less than 30 days. Let M be the set. Only February has less than 30 days out of the 12 months. [B]M = {February}[/B]

The temperature in Chicago was five (5) degrees Celsius in the morning and is expected to drop by as much as 12 degrees during the day. What is the lowest temperature in Chicago for the day? We start with 5 celsius A drop in temperature means we subtract 5 - 12 = [B]-7 or 7 degrees below zero[/B]

The volleyball team and the wrestling team at Clarksville High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $4 per car. In addition, they have already brought in $81 from past fundraisers. The wrestling team has raised $85 in the past, and they are making $2 per car today. After washing a certain number of cars together, each team will have raised the same amount in total. What will that total be? How many cars will that take? Set up the earnings equation for the volleyball team where w is the number of cars washed: E = Price per cars washed * w + past fundraisers E = 4w + 81 Set up the earnings equation for the wrestling team where w is the number of cars washed: E = Price per cars washed * w + past fundraisers E = 2w + 85 If the raised the same amount in total, set both earnings equations equal to each other: 4w + 81 = 2w + 85 Solve for [I]w[/I] in the equation 4w + 81 = 2w + 85 [SIZE=5][B]Step 1: Group variables:[/B][/SIZE] We need to group our variables 4w and 2w. To do that, we subtract 2w from both sides 4w + 81 - 2w = 2w + 85 - 2w [SIZE=5][B]Step 2: Cancel 2w on the right side:[/B][/SIZE] 2w + 81 = 85 [SIZE=5][B]Step 3: Group constants:[/B][/SIZE] We need to group our constants 81 and 85. To do that, we subtract 81 from both sides 2w + 81 - 81 = 85 - 81 [SIZE=5][B]Step 4: Cancel 81 on the left side:[/B][/SIZE] 2w = 4 [SIZE=5][B]Step 5: Divide each side of the equation by 2[/B][/SIZE] 2w/2 = 4/2 w = [B]2 <-- How many cars it will take [/B] To get the total earnings, we take either the volleyball or wrestling team's Earnings equation and plug in w = 2: E = 4(2) + 81 E = 8 + 81 E = [B]89 <-- Total Earnings[/B]

There are 11 kids at a birthday party. If there are 6 girls and 5 boys at the party, what fraction of the kids are boys? Boys fraction = [B]5/11[/B]

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day. How much time should we spend sleeping? Multiply 24 hours per day * 3/8 day Since 24/8 = 3, we have: 3 * 3 = [B]9 hours of sleep[/B].

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day. How much time should we spend sleeping? 3/8 of the day means we take 3/8 of 24 also written as: 3/8 * 24 We [URL=' this expression into our search engine [/URL]and get: [B]9 hours[/B]

There are 480 calories per hour. An officer swims 1.5 hours for 30 days. How many calories is that? 1.5 hours per day times 30 days = 45 total hours. 480 calories per hour times 45 total hours = [B]21,600 total calories[/B].

Three days before the day after tomorrow is Monday. What day is today? List out days of the week: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday Three days before the day after tomorrow means we start 2 days from now, and go back three days to get to Monday. Which means it's a +1 day gain. Monday + 1 = [B]Tuesday[/B]

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To rent a car it costs $12 per day and $0.50 per kilometer traveled. If a car were rented for 5 days and the charge was $110.00, how many kilometers was the car driven? Using days as d and kilometers as k, we have our cost equation: Rental Charge = $12d + 0.5k We're given Rental Charge = 110 and d = 5, so we plug this in: 110 = 12(5) + 0.5k 110 = 60 + 0.5k [URL=' this into our equation calculator[/URL], we get: [B]k = 100[/B]

Today a car is valued at $42000. the value is expected to decrease at a rate of 8% each year. what is the value of the car expected to be 6 years from now. Depreciation at 8% per year means it retains (100% - 8%) = 92% of it's value. We set up our depreciation function D(t), where t is the number of years from right now. D(t) = $42,000(0.92)^t The problem asks for D(6): D(6) = $42,000(0.92)^6 D(6) = $42,000(0.606355) D(6) = [B]$25,466.91[/B]

Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now. Given that my age is an integer number of years, what is the smallest my age could be? Let my current age be a. We're given: 4/5a > 3/4(a + 1) Multiply through on the right side: 4a/5 > 3a/4 + 3/4 Let's remove fractions by multiply through by 5: 5(4a/5) > 5(3a/4) + 5(3/4) 4a > 15a/4 + 15/4 Now let's remove the other fractions by multiply through by 4: 4(4a) > 4(15a/4) + 4(15/4) 16a > 15a + 15 [URL=' this inequality into our search engine[/URL], we get: a > 15 This means the smallest [I]integer age[/I] which the problem asks for is: 15 + 1 = [B]16[/B]

todd has a bag of 150 pieces of candy. every weekday he eats 2 pieces and 3 pieces on weekends until he has no more left. So each week, he eats 2*5 + 3*2 = 10 + 6 = 16 pieces 16 per week * 9 weeks = 144 pieces 150 - 144 = 6 pieces left 3 weekdays * 2 pieces per weekday = 6. So, Todd ate all the candy in 9 weeks, 3 days.

[MEDIA=youtube]dayRkFii8Hs[/MEDIA]

Vacation is 72 days long. What percent of the entire year is summer vacation ? Vacation day Percent = 100% * Vacation Days / Total Days in the year Vacation day Percent = 100% * 72/365 Vacation day Percent = 100% * [URL=' Vacation day Percent = [B]19.73%[/B]

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Warren was making $100,000 per year. His boss said that he was going to cut his salary 25%, but that Warren shouldn't worry because he would be given a 25% raise the next day. How much will Warren's salary be after the 25% cut and 25% raise? Cut salary: 100,000 * 0.75 = 75,000 New salary after raise: 75,000 * 1.25 = [B]93,750[/B]

what is a well defined set? A well defined set is with no ambiguity or confusion about what belongs to the set. Think of it as a collection of distinct objects: Examples: [LIST] [*]Set of the first 5 even numbers: {2, 4, 6, 8, 10} [*]Set of weekend days: {Saturday, Sunday} [/LIST]

What is the annual nominal rate compounded daily for a bond that has an annual yield of 5.4%? Round to three decimal places. Use a 365 day year. [U]Set up the accumulation equation:[/U] (1+i)^365 = 1.054 [U]Take the natural log of each side[/U] 365 * Ln(1 + i) = 1.054 Ln(1 + i) = 0.000144089 [U]Use each side as a exponent to eulers constant e[/U] (1 + i) = e^0.000144089 1 + i = 1.000144099 i = 0.000144099 or [B].0144099%[/B]

What is the number of days in w weeks and d days? Since a week is 7 days, we have a number of days of: [B]7w + d[/B]

What is the probability that a month chosen at random has less than 31 days? Months with 31 days: [LIST=1] [*]January [*]March [*]May [*]July [*]August [*]October [*]December [/LIST] 7 months out of 12 have 31 days, so our probability is [B]7/12[/B]

10!= 10 x 9 x 8 x 7 x 6! So we have: 10 x 9 x 8 x 7 x 6!/6! [U]6! cancels, so we have:[/U] 10 x 9 x 8 x 7 [B][I][I][B]5040[/B][/I][/I][/B] [MEDIA=youtube]rP6PfGDAYj0[/MEDIA]

I saw this ticket come through today. The answer is x > 6. Natural numbers are positive numbers not 0. So 1, 2, 3, ... Let me build this shortcut into the calculator. Also, here is the[URL=' interval notation[/URL] for that expression.

Xaviers birthday party costs $3 for every guest he invites. If there are 8 guests, how much money will Xaviers birthday party cost Cost = Amount per guest * number of guest Cost = 3 * 8 Cost = [B]24[/B]

Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles? 30 other vehicles + 4 convertibles = 34 cars 34 * 2 = 68 30 * 2 other vehicles + 4 * 2 convertibles = 68 cars 60 other vehicles and [B]8 convertibles[/B]

Yesterday, Boris had 144 baseball cards. Today, he got m more. Using m, write an expression for the total number of baseball cards he has now. 144 and m more means we add [B]144 + m[/B]

Yesterday, Kareem had n baseball cards. Today, he got 9 more. Using n, write an expression for the total number of baseball cards he has now. 9 more means we add 9 to n [B]n + 9[/B]

Yesterday, there were 100 problems assigned for math homework. Andrew got 20 problems correct and 80 problems incorrect. What percentage did Andrew get correct? Correct Problems = 20/100 [URL=' our percentage and decimal calculator[/URL], we get [B]20%[/B]

Yesterday, there were 72 problems assigned for math homework. Austen got 18 problems correct and 54 problems incorrect. What percentage did Austen get correct? [URL=' as a percentage[/URL] is [B]25%[/B]

Yolanda runs each lap in 7 minutes. She will run less than 35 minutes today. What are the possible numbers of laps she will run today? 7 minutes per lap must be less than 35 minutes. Let l be the number of laps 7l < 35 Divide each side by 7 [B]l < 5[/B]

Yosemite National Park charges $7 per person for an all day admission to the park. The total cost for n people to go to the park all day is given by the expression 7n. 8 friends go to the park on Saturday. What is the total cost of admission? We want to evaluate f(n) = 7n for n = 8 f(8) = 7(8) = [B]56[/B]

You are given a choice of taking the simple interest on $100,000 invested for 5 years at a rate of 2% or the interest on $100,000 invested for 5 years at an interest rate of 2% compounded daily. Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments [URL=' interest balance after 5 years[/URL] at 2% is $110,000. [URL=' compounded interest for 5 years[/URL] at 2% is 365 days per year * 5 years = 1,825 days = [B]$110,516.79 Compound interest earns more by $110,516.79 - $110,000 = $516.79[/B]

You are heading to Cedar Point for the day. It costs $50 to get in to the park and each ride costs $2 for a ticket. Write an expression for the total cost of going to Cedar Point where r is the number of rides. Set up the cost equation C(r): C(r) = Cost per ride * r rides + Park Fee [B]C(r) = 2r + 50[/B]

You can pay a daily entrance fee of $3 or purchase a membership for the 12 week summer season for $82 and pay only $1 per day to swim. How many days would you have to swim to make the membership worthwhile? Set up cost equations: Daily entrance fee: 3d where d is the number of days of membership Membership fee 82 + 1d Set them equal to each other 82 + 1d = 3d Subtract d from each side: 2d = 82 Divide each side by 2 [B]d = 41[/B]

You drink 1.7L of water a day. How long will it take you to drink 100L of water 100L / 1.7 per day = 58.82 days We round up to a full day to get [B]59 days[/B]

You earned $400 at work today. You earn $50 per hour. How many hours did you work? Hours Worked = Total Earnings / Earnings per hour Hours Worked = 400 / 50 Hours Worked = [B]8[/B]

You have read 100 pages of a 250 book. You have 3 days left to finish the book. How many pages will you need to reach each day in order to be able to finish the book? Calculate remaining pages to read: Remaining Pages = 250 - 100 = 150 Now, calculate pages per day Pages per day = Remaining Pages/Days left Pages per day = 150/3 Pages per day = [B]50[/B]

You practice the piano for 30 minutes each day. Write and solve an equation to find the total time t you spend practicing the piano in a week. Since there is 7 days in a week, we have: t = 30 * 7 [B]t = 210[/B]

You started the day with 3 gallons of water. If there are 4 cups in a quart and 4 quarts in a gallon, how many cups of water did you start with? [LIST] [*]1 gallon = 4 quarts [*]So 3 gallons = 4 * 3 = 12 quarts [*]12 quarts * 4 cups per quart = [B]48 cups of water[/B] [/LIST]

Zoey invested $230 in an account paying an interest rate of 6.3% compounded daily. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 12 years? Using our [URL=' interest calculator with 12*365 = 4380 for days,[/URL] we have a balance of: [B]$489.81[/B]

Zombies are doubling every 2 days. If two people are turned into zombies today, how long will it take for the population of about 600,000 to turn into zombies? Let d = every 2 days. We set up the exponential equation 2 * 2^d = 600,000 Divide each side by 2: 2^d = 300000 To solve this equation for d, we [URL=' it in our math engine[/URL] and we get d = 18.19 (2 day periods) 18.19 * days per period = 36.38 total days Most problems like this ask you to round to full days, so we round up to [B]37 days[/B].