Question

Please help me with part of the question thank you

Answer 1

Given

7 1/4 miles in 2 hours

8 7/10 miles in x hours

We find the rate:

`(7(1)/(4))/(2)=((29)/(4))/(2)=(29)/(4*2)=(29)/(8)=3.625`

This is 3.625 miles in 1 hour.

Next,

`8(7)/(10)=(87)/(10)=8.7`

This is 8.7 miles.

Therefore, an equivalent rate is as follows:

Both sides of the equation must be equal. So, multiply the numerator and denominator by 2.4.

`(3.625*2.4)/(1*2.4)=(8.7)/(2.4)`

Answer:

`\frac{3.625\text{ miles }*2.4}{1\text{ hour}*2.4}=\frac{8.7\text{ miles}}{2.4\text{ hours}}`