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VMariaS [17]
3 years ago
13

Find the unit rate. 6 2/5 revolutions in 2 2/3 seconds

Mathematics
2 answers:
topjm [15]3 years ago
7 0
1) Convert mixed fractions into fractions.

6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 =  8 / 3

2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
   From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
  32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.

 The unit rate is 12 / 5 = 2 2/5 revolutions per second.
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mr_godi [17]3 years ago
6 0
(6 2/5) / (2 2/3) =
(32/5) / (8/3) =
32/5 * 3/8 =
96/40 = 2.4 revolutions per second
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Answer:

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Step-by-step explanation:

10 years ago, the sum of their ages was 65 -2·10 = 45.

If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.

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This can be solved using a system of equations.

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Substituting the first equation into the second gives ...

  k -10 = 2((65 -k) -10)

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