Q3B. - Algebra 1

Question

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

$\frac{x+4}{5}=\frac{3}{8}$

Step-by-Step Solution

Answer

The value rounded off to nearest hundredth is $x\approx -\text{2.13}$.

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:

$\begin{array}{c}\frac{x+4}{5}=\frac{3}{8}\\ 8\left(x+4\right)=\left(3\right)5\end{array}$

Step-3. Simplify for r .

To further simplify, apply distributive property to the right-hand side.

$$\begin{gathered} \frac{x+4}{5}=\frac{3}{8} \\ 8x+8\times 4=15 \\ 8x+32=15 \\ 8x-32-32=15-32 \\ 8x=-17 \\ \frac{8x}{8}=\frac{-17}{8} \\ x=-\text{2.125} \\ x\approx -\text{2.13} \end{gathered}$$

Therefore, the value of $x\approx -\text{2.13}$.