Question

A cheetah can run at a speed of 1.73 kilometers per minutes. How fast can the cheetah run in miles per hour. Fill in the first two blanks on the left side of the equation using two ratios. The round answer to the nearest hundredth. Will send pic of question.

Answer 1

Step-by-step explanation

From the statement, we know that the speed of the cheetah is:

`S=1.73*(km)/(m\imaginaryI n).`

We have the following ratios:

`\begin{gathered} 1=\frac{60\text{ min}}{1\text{ h}}, \\ 1=\frac{1\text{ mi}}{1.61\text{ km}}. \end{gathered}`

1) To convert the speed from km/min to mi/h, we rewrite the expression using the first ratio:

`S=1.73*(km)/(m\imaginaryI n)*1=1.73*\frac{\text{km}}{\text{m}\mathrm{i}\text{n}}*\frac{60\text{ min}}{1h}=1.73*60*(km)/(h).`

2) Now, we use the second ratio:

`S=1.73*60*(km)/(h)*1=1.73*60*(km)/(h)*\frac{1\text{ mi}}{1.61km}=(1.73*60)/(1.61)*(mi)/(h).`

3) Finally, computing the product and quotient, we get:

`S\cong64.5(mi)/(h).`Answer

64.5 mi/h