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proportion

  1. math_celebrity

    Hall looked at 10 websites every 35 hours. At this rate, how long, in hours, will it take to look at

    Hall looked at 10 websites every 35 hours. At this rate, how long, in hours, will it take to look at 6 websites? Set up a proportion of websites to hours where h is the number of hours it takes to look at 6 websites: 10/35 = 6/h To solve this proportion for h, we type it in our math engine and...
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    On a map, every 5 cm represents 250 kilometres. What distance would be represented by a 3 cm line?

    On a map, every 5 cm represents 250 kilometres. What distance would be represented by a 3 cm line? We set up a proportion of map cm distance to kilometers where k is the kilometers represented by a 3cm line 5/250 = 3/k To solve this proportion for k, we type it in our search engine and we get...
  3. math_celebrity

    Greg runs 120 m in 20 seconds. How far can he run in one minute?

    Greg runs 120 m in 20 seconds. How far can he run in one minute? We want to compare seconds to seconds. 1 minute = 60 seconds Set up a proportion of meters to seconds where m is the meters ran in 60 seconds: 120/20 = m/60 To solve this proportion for m, we type it in our search engine and we...
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    1 box is used every 1.5 days. How many are used in 242 days?

    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 type it in our search engine and we get: b = 161.3333
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    I sold 3 units in 563 attempts. How many did I sell per 100 attempts?

    I sold 3 units in 563 attempts. How many did I sell per 100 attempts? Set up a proportion of sales to attempts where s is the number of sales for 100 attempts: 3/563 = s/100 Typing this in our search engine, we get: s = 0.532 sales
  6. math_celebrity

    7/4 yards represents 4/5 of the full length of rope. Find the length of the entire jump rope.

    7/4 yards represents 4/5 of the full length of rope. Find the length of the entire jump rope. Let the entire jump rope length be l. We're given the proportion: 4l/5 = 7/4 We type this in our search engine and our proportion calculator solves for l to get: l = 2.1875 yards
  7. math_celebrity

    If x is 18 when y is 6, find y when x is 21

    If x is 18 when y is 6, find y when x is 21 Set up a proportion of x to y: 18/6 = 21/y To solve this proportion for y, we type it in our search engine and we get: y = 7
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    8 bricklayers can build a wall in 10 days. How long would it take 5 bricklayers to build?

    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 type it in our search engine and we...
  9. math_celebrity

    Nancy shot a 16 on 4 holes of golf. At this rate, what can she expect her score to be if she plays 1

    Nancy shot a 16 on 4 holes of golf. At this rate, what can she expect her score to be if she plays 18 holes? Round to the nearest whole number Set up a proportion of score to holes of golf where s is the score for 18 holes: 16/4 = s/18 To solve this proportion for s, we type it in our search...
  10. math_celebrity

    7 out of every 30 students ride their bikes to school. There are 720 students. How many ride their b

    7 out of every 30 students ride their bikes to school. There are 720 students. How many ride their bikes Set up a proportion of students who ride their bike to total students where r is the number of students who ride their bikes: 7/30 = r/720 To solve this proportion for r, we type it in our...
  11. math_celebrity

    Ricky reads 20 pages in 50 minutes. How many minutes does it take him to read one page

    Ricky reads 20 pages in 50 minutes. How many minutes does it take him to read one page Set up a proportion of pages per minute where m is the number of minutes to read one page: 20/50 = 1/m To solve this proportion for m, we type it in our search engine and we get: m = 2.5
  12. math_celebrity

    1/9 of all sales were for cash. If cash sales were $59,000, what were the total sales?

    1/9 of all sales were for cash. If cash sales were $59,000, what were the total sales? Let sales be s. We're given: s/9 = 59000 To solve this proportion for s, we type it in our search engine and we get: s = 531000
  13. math_celebrity

    6 books cost 9.24. How much is 1 book

    6 books cost 9.24. How much is 1 book Set up a proportion of cost to books where x is the cost for 1 book: 9.24/6 = x/1 To solve this proportion for x, we type it in our search engine and we get: x = 1.54
  14. math_celebrity

    Zach can read 7 pages of a book in 5 minutes. At this rate, how long will it take him to read the en

    Zach can read 7 pages of a book in 5 minutes. At this rate, how long will it take him to read the entire 175 page book? Set up a proportion of pages to minutes where m is the number of minutes needed to read 175 pages: 7/5 = 175/m To solve this proportion, we type it in our search engine and...
  15. math_celebrity

    Four-fifths of Kayla’s Math Notebook is filled. She has written on 48 pages. How many pages is there

    Four-fifths of Kayla’s Math Notebook is filled. She has written on 48 pages. How many pages is there total in the notebook? Let the total pages be p. WE're given: 4p/5 = 48 To solve for p, we type this equation into our search engine and we get: p = 60
  16. math_celebrity

    A bag of rice says to mix 3 cups of rice with 2 cups of water. How much water would be needed to mix

    A bag of rice says to mix 3 cups of rice with 2 cups of water. How much water would be needed to mix with 2 cups of rice? Set up a proportion of cups of rice to water where w is the amount of water needed for 2 cups of rice: 3/2 = 2/w To solve this proportion for w, we type it in our search...
  17. math_celebrity

    If 50 out of 250 people die. How many people died per 10 people

    If 50 out of 250 people die. How many people died per 10 people We set up a proportion of deaths to total people where d is the number of deaths for 10 people. We have: 50/250 = d/10 To solve this proportion for d, we type it in our search engine and we get: d = 2
  18. math_celebrity

    if ballons are on sale at 15 for$3, whats the cost for a ballon? a)50cents b)25cost c)20cents d)20 d

    if ballons are on sale at 15 for$3, whats the cost for a ballon? a)50cents b)25cost c)20cents d)20 dollars Let c be the cost of 1 balloon. We set up a proportion of balloons to cost: 15/3 = 1/c To solve this proportion for c, we type it in our search engine and we get: c = 0.2 or 20 cents
  19. math_celebrity

    If tanx = 3/4 ,what is cosx?

    If tanx = 3/4 ,what is cosx? tan(x) = sin(x)/cos(x), so we have: sin(x)/cos(x) = 3/4 cross multiply: 4sin(x) = 3cos(x) Divide each side by 3 to isolate cos(x): cos(x) = 4sin(x)/3
  20. math_celebrity

    The ordered pairs (8,12), (16, 24), (x, 21), (26, y ) represent a proportional relationship. Find th

    The ordered pairs (8,12), (16, 24), (x, 21), (26, y ) represent a proportional relationship. Find the value of x and the value of y. 12/8 = 1.5 24/16 = 1.5 So we have our proportion; y/x = 1.5 or 3/2 For (x, 21), we have: 21/x = 3/2 Type this proportion into our search engine and we get: x =...
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