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Kobotan [32]
4 years ago
14

Sue ran the first 12 miles of the 24-mile Fun Run in 72 minutes. Her rate decreased by 2 miles per hour in the second half of th

e race. How long did it take Sue to run the second half of the Fun Run?
please show how to do this
Mathematics
1 answer:
densk [106]4 years ago
6 0

Answer:

90 minutes or 1.30 hours

Step-by-step explanation:

In 72 minutes, Sue ran 12 miles per hour

In 1 minute, Sue ran 12/72 miles per hour

In 60 minutes, Sue ran (12/72)*60 miles per hour

= 10 miles per hour

Remaining miles after completing 12 miles in 72 minutes = (24-12) = 12 miles.

If the mileage decreases to 2 miles per hour, he will now run = (10 - 2) = 8 miles per hour.

Now,

1 hour = 60 minutes

Sue can run 8 miles in 60 minutes

Sue can run 1 miles in 60/8 minutes

Sue can run 12 miles in (60/8)*12 minutes

= 90 minutes or 1.30 hours

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</span> </span>


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4 years ago
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Eva has £6.05 in her moneybox.
PIT_PIT [208]

Answer:

11 of 20p, 22 of 10p and 33 of 5p

Step-by-step explanation:

Eva has 20p, 10p and 5p coins, total of £6.05 = 605p

Let 20p=x, 10p=y, 5p=z

<u>Then</u>:

  • 20x + 10y + 5z = 605
  • y : x = 2 : 1 ⇒ x= y/2
  • y : z = 2 : 3 ⇒ z= 3y/2

<u>Rewriting the first equation considering next two:</u>

  • 10y + 10y + 7.5y = 605
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  • y= 605/27.5
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  • z = 3y/2 = 3*11 = 33

<u>Answer:</u> 11 of 20p coins, 22 of 10p coins and 33 of 5p coins

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3 years ago
What function is f(x)=x^2
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Simplified Expression:

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