Chapter 2: Q27. (page 115)

Solve each proportion. If necessary, round to nearest hundredth.
$\frac{x - 3}{5} = \frac{6}{10}$

Short Answer

Expert verified

The value is $x = 6$ .

Step by step solution

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:

$\begin{matrix} \frac{x - 3}{5} = \frac{6}{10} \\ 10 (x - 3) = (6) 5 \end{matrix}$

Step-3. Simplify for x.

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

$10 (x - 3) = (6) 5 10 x + 10 (- 3) = 30 10 x - 30 = 30 10 x - 30 + 30 = 30 + 30 10 x = 60 \frac{10 x}{10} = \frac{60}{10} x = 6$

Therefore, the value of $x = 6$ .

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Solve each proportion. If necessary, round to nearest hundredth.
$\frac{x - 3}{5} = \frac{6}{10}$

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Find the cross products.

Step-3. Simplify for x.

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Solve each proportion. If necessary, round to nearest hundredth.x−35=610

Short Answer

Step by step solution

Step-1. Define equivalent ratios.

Step-2. Find the cross products.

Step-3. Simplify for x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Theoretical and Mathematical Physics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each proportion. If necessary, round to nearest hundredth.
$\frac{x - 3}{5} = \frac{6}{10}$