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BlackZzzverrR [31]
3 years ago
14

A long-distance athlete can run 1/2 kilometer in 3 minutes. How many kilometers can he run in an hour?

Advanced Placement (AP)
1 answer:
zepelin [54]3 years ago
6 0
I think it’s 10 kilometers. I hope this helps!
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Replacing <em>F</em> with <em>F</em> + 1 gives

5/9 (<em>F</em> + 1 - 32) = 5/9 (<em>F</em> - 32) + 5/9 = <em>C</em> + 5/9

so a temperature increase of 1º F translates to a 5/9º increase in Celsius, so I is true.

Replacing <em>F</em> with <em>F</em> + 5/9 gives

5/9 (<em>F</em> + 5/9 - 32) = 5/9 (<em>F</em> - 32) + (5/9)² = <em>C</em> + 25/81

so increasing the temperature by 5/9º F amounts to a 25/81º increase in Celsius, so III is false.

Solve for <em>F</em> in terms of <em>C</em> :

<em>F</em> = 9/5 <em>C</em> + 32

Replacing <em>C</em> with <em>C</em> + 1 gives

9/5 (<em>C</em> + 1) + 32 = 9/5 <em>C</em> + 32 + 9/5 = <em>F</em> + 9/5

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