Respuesta :

Answer:

[tex]\frac{39}{4}[/tex] Miles per hour

Step-by-step explanation:

Given:

- A bicyclist travels 6 1/2 miles in 2/3 hour

What is the average speed in miles per hour of the bicyclist?

6[tex]\frac{1}{2}[/tex] = [tex]\frac{13}{2}[/tex]

We take

[tex]\frac{13}{2}[/tex] ÷ [tex]\frac{2}{3}[/tex] = [tex]\frac{13}{2}[/tex] · [tex]\frac{3}{2}[/tex] = [tex]\frac{39}{4}[/tex] miles per hours

So, the average speed of the bicyclist is [tex]\frac{39}{4}[/tex] miles per hour.

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