Q23. - Algebra 1

Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{2}{0.21}=\frac{8}{n}$

Step-by-Step Solution

Answer

The value of $n=\text{0.84}$.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$$\begin{gathered} \frac{2}{0.21}=\frac{8}{n} \\ n\left(2\right)=\left(8\right)0.21 \end{gathered}$$

Step-3. Simplify for n .

To further simplify, divide each side by 2.

$$\begin{gathered} n\left(2\right)=\left(8\right)0.21 \\ 2n=\text{1.68} \\ \frac{ 2n}{2}=\frac{\text{1.68}}{2} \\ n=\text{0.84} \end{gathered}$$

Therefore, the value of $n=\text{0.84}$.