Josh runs 6 miles in 44 minutes. At the same rate, how many minutes would he take to run 9 miles?

Mathematics

1 answer:

LekaFEV [45]3 years ago

7 0

Answer:

66 minutes

Step-by-step explanation:

Method I - proportion

x/44 = 9/6

multiply both sides by 44

x = 9 / 6 * 44

x = 66 minutes

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Method II - rate

44/6 = 7.3333333 minutes / mile

9 * 7.3333333 = 66 minutes

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Bill and Mary Ann went to the Viola bakery. Bill bought 5 pies and 7 donuts for $12.65. Mary Ann bought 6 of each for $12.30.

sweet [91]

Answer:

Pies=$0.85

Donuts= $1.20

Step-by-step explanation:

In the equation let p stand for the number of pies and d stand for the number of donuts.

To solve this set up 2 equations, one representing bill and the other representing Mary Ann.

Bill's equation is 5p+7d=$12.65.
Mary Ann's equation is 6p+6d=$12.30

Then solve using a system of equations. Systems of equations can be solved using elimination or substitution. I will use substitution. Solve bill's equation for p. This gives you $p=\frac{12.65-7d}{5}$ . Then, you can substitute that into Mary Ann's equation. This looks like $6\cdot \frac{12.65-7d}{5}+6d=12.3$ . Solve for d. Once you solve d=1.20. Finally, substitute 1.20 back into either Bill's or Mary Ann's for d and solve for p. No matter which equation you use p=0.85.