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proportion

  1. math_celebrity

    4 machines can complete a job in 6 hours how long will it take 3 machines to complete the same jobs?

    4 machines can complete a job in 6 hours how long will it take 3 machines to complete the same jobs? Set up a proportion of machines to hours where h is the number of hours that 3 machines take: 4/6 = 3/h Type this proportion into our search engine and we get: h = 4.5
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    A person that runs for 15 minutes burns 180 calories. If someone burns 300 calories, how long did tg

    A person that runs for 15 minutes burns 180 calories. If someone burns 300 calories, how long did tgey run for Set up a proportion of minutes to calories where m is the number of minutes per 300 calories: 15/180 = m/300 To solve for m, we type this proportion into our search engine and we get...
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    If Emma reads 1 page of a book in 44 seconds, how many pages will she read in 15 minutes

    If Emma reads 1 page of a book in 44 seconds, how many pages will she read in 15 minutes Convert 15 minutes to seconds: 15 minutes = 60 * 15 = 900 seconds Set up a proportion of pages read to seconds where p is the number of pages read in 900 seconds (15 minutes): 1/44 = p/900 Typing this...
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    Sales tax is directly proportional to cost. If the sales tax on a 46000 automobile is $240, what is

    Sales tax is directly proportional to cost. If the sales tax on a 46000 automobile is $240, what is the sales tax on a $9000 automobile? Set up a proportion of sales tax to purchase price where s is the sales tax on a 9000 automobile: 240/46000 = s/9000 Typing this proportion into our search...
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    3 cartons of eggs for $5 what if the cost of 8 cartons

    3 cartons of eggs for $5 what if the cost of 8 cartons Set up a proportion of cartons of eggs to price where p is the price of 8 cartons: 3/5 = 8/p Type this proportion into our search engine and we get: p = 13.33
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    A copy machine makes 28 copies per minute. how many copies does it make in 3 minutes and 45 seconds

    A copy machine makes 28 copies per minute. how many copies does it make in 3 minutes and 45 seconds? 45 seconds = 45/60 = 3/4 of a minute. 3/4 = 0.75 So we have 3.75 minutes. Set up a proportion of copies to minutes where c is the number of copies made in 3 minutes and 45 seconds: 28/1 =...
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    Suppose we need 4 eggs to make a cake. If there are 24 eggs, write an inequality representing the po

    Suppose we need 4 eggs to make a cake. If there are 24 eggs, write an inequality representing the possible number of cakes we can make. Set up a proportion of eggs to cakes where c is the number of cakes per 24 eggs: 4/1 <= 24/c Typing this proportion inequality into our search engine, we get...
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    if 65/100 = 117/x, what is x

    if 65/100 = 117/x, what is x Type the proportion 65/100 = 117/x into our search engine and we get: x = 180
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    250 students have iPhones. This is one third of the population. How many students are there in total

    250 students have iPhones. This is one third of the population. How many students are there in total? Let the population be p. We're given: 1/3p = 250 Cross multiply: p = 250 * 3 p = 750
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    Marion Middle School has 600 students. Mike surveys a random sample of 30 students and finds that 7

    Marion Middle School has 600 students. Mike surveys a random sample of 30 students and finds that 7 of them play a musical instrument. How many students at the school are likely to play a musical instrument? Set up a proportion of those that play musical instruments to total students where m is...
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    8 bags weigh 14 pounds. how much do 20 bags weigh

    8 bags weigh 14 pounds. how much do 20 bags weigh Set up a proportion of bags to pounds where p is the number of pounds for 20 bags: 8/14 = 20/p We type this proportion in our calculator and we get: p = 35
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    Dylan is playing darts. He hit the bullseye on 5 out of his last 20 tosses. Considering this data, h

    Dylan is playing darts. He hit the bullseye on 5 out of his last 20 tosses. Considering this data, how many bullseyes would you expect Dylan to get during his next 16 tosses? We have a proportion of bullseyes to tosses where b is the number of bullseyes for 16 tosses: 5/20 = b/16 Type this...
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    The Canucks lost 6 of their first 24 games. At this rate how many would the lose in an 84 game sched

    The Canucks lost 6 of their first 24 games. At this rate how many would the lose in an 84 game schedule? Set up a proportion of losses to games where l is the number of losses for 84 games: 6/24 = l/84 Typing this proportion into our search engine, we get: l = 21
  14. math_celebrity

    3 people can build a shed in 8 hours, how long would it take 5 people

    3 people can build a shed in 8 hours, how long would it take 5 people We set up a proportion of people to hours where h is the number of hours for 5 people: 3/8 = 5/h Using our proportion calculator, we get: 13.3333 hours But what if the problem asks for minutes? Then we say 8 hours = 60 * 8...
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    How many rides per day to reach 150 rides in 90 days?

    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 this proportion into our search engine and we get: r = 1.66 7
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    A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drin

    A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 14 minutes? Set up a proportion of gallons of water over minutes where g is the number of gallons the camel can drink in 14 minutes: 15/10 = g/14 Typing this proportion into our search...
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    A 10 ounce serving of energy drink contains about 190 mg of caffeine approximately how much caffeine

    A 10 ounce serving of energy drink contains about 190 mg of caffeine approximately how much caffeine is in a 25 ounce of energy drink? Set up a proportion of caffeine to ounces where c is the amount of caffeine in a 25 ounce drink: 190/10 = c/25 Type this proportion into the search engine and...
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    Elsa took a total of 25 quizzes over the course of 5 weeks. After attending 8 weeks of school this q

    Elsa took a total of 25 quizzes over the course of 5 weeks. After attending 8 weeks of school this quarter, how many quizzes will Elsa have taken in total? Assume the relationship is directly proportional. Set up a proportion of quizzes to weeks where q is the number of quizzes taken in 8...
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    6 times the reciprocal of a number equals 3 times the reciprocal of 7 .

    6 times the reciprocal of a number equals 3 times the reciprocal of 7 . This is an algebraic expression. Let's take it in parts: The phrase a number means an arbitrary variable, let's call it x. x The reciprocal of a number x means we divide 1 over x: 1/x 6 times the reciprocal means we...
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    55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. What is the

    55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. What is the length of shadow she will cast? Set up a proportion of height to shadow length where s is the shadow length of the woman: 55/32 = 5.5/s Typing this proportion into our search engine, we get: s = 3.2
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