Question

Answer the link i added on please!

Answer 1

The RHS of the ratio is $\frac{10}{8}$.

Step-by-step explanation:

Step 1; It is given that the ratio gives us a unit rate of 0.2 feet per second. This means that 0.2 feet are covered every second. Just consider the values of 0.2 and 1. To find the ratio between 0.2 and 1, we divide.

Ratio between 0.2 and 1 = $\frac{1}{5}$, this indicates the ratio of 0.2 : 1 is 1 : 5.

Step 2; To calculate the given ratio, we need to establish the same ratio to the given values. So

$\frac{1}{4}$ feet : $\frac{10}{x}$ = 1 : 5.

So we have that the value of $\frac{10}{x}$  will be 5 times the value of $\frac{1}{4}$.

So 5 × $\frac{1}{4}$ = $\frac{10}{x}$, $\frac{5}{4}$ = $\frac{10}{x}$. Cross multiplying we get that

x = $\frac{10 times 4}{5}$ = $\frac{40}{5}$ = 8.

The ratio is $\frac{1}{4}$ feet : $\frac{10}{8}$.