Chapter 2: Q28. (page 115)

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{7}{x + 9} = \frac{21}{36}$

Short Answer

Expert verified

The value is $x = 3$ .

Step by step solution

Step 1. Define equivalent ratios.

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

Step 2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\frac{7}{x + 9} = \frac{21}{36} 36 (7) = (21) (x + 9)$

Step 3. Simplify for x.

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

$36 (7) = (21) (x + 9) 252 = 21 x + 21 (9) 252 - 189 = 21 x + 189 - 189 \frac{63}{21} = \frac{21 x}{21} x = 3$

Therefore, the value of $x = 3$ .

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Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{7}{x + 9} = \frac{21}{36}$

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 the nearest hundredth.7x+9=2136

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

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Geometry

Probability and Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{7}{x + 9} = \frac{21}{36}$