Question

if 5 miles ≈ 8 km, about how many miles would be equal to 58 km? show how you decided.
complete the ratio that can be used to solve this problem.
\\(\frac{\square\text{ miles}}{8\text{ km}} = \frac{?\text{ miles}}{58\text{ km}}\\)

Explanation:

Step1: Fill the ratio blank

The given conversion is 5 miles ≈ 8 km, so the blank is 5.
$\frac{5 \text{ miles}}{8 \text{ km}} = \frac{? \text{ miles}}{58 \text{ km}}$

Step2: Set up cross-multiplication

Let $x$ = unknown miles. Cross-multiply to solve for $x$.
$8x = 5 \times 58$

Step3: Calculate right-hand side

Compute the product of 5 and 58.
$8x = 290$

Step4: Solve for x

Divide both sides by 8 to isolate $x$.
$x = \frac{290}{8} = 36.25$

Answer:

36.25 miles; 5