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geniusboy [140]
3 years ago
10

John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul ru

ns is 5:8.
Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

Answer:

Step-by-step explanation:

For example,

<u>Solution: Finding a unit rate</u>

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

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Step-by-step explanation:

The general formula for distance, rate and time is:

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Given that one train is moving at a rate of 70 mph and one is moving at a rate of 62 mph in the opposite direction, the combined distance over time is equal to 528 miles.  Using the variable 't' for time:

70t + 62t = 528

Combine like terms: 132t = 528

Divide both sides by 132: 132t/132 = 528/132  or t = 4 hours

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A store bought a dining room table at a cost of $478 and marked it up 150%. Later on, the
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