Chapter 2: Q34. (page 115)

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{6}{14} = \frac{7}{x - 3}$

Short Answer

Expert verified

The approximate value is $x \approx 19.33$ .

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:

$\frac{6}{14} = \frac{7}{x - 3} (x - 3) (6) = (7) 14$

Step 3. Simplify for x.

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

$(x - 3) (6) = (7) 14 6 x - 3 (6) = 98 6 x - 18 + 18 = 98 + 18 \frac{6 x}{6} = \frac{116}{6}$

Therefore, the approximate value of $x \approx 19.33$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{6}{14} = \frac{7}{x - 3}$

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

Calculus

Pure Maths

Discrete Mathematics

Geometry

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Solve each proportion. If necessary, round to the nearest hundredth.614=7x−3

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

Calculus

Pure Maths

Discrete Mathematics

Geometry

Probability and Statistics

Statistics

Study anywhere. Anytime. Across all devices.

Solve each proportion. If necessary, round to the nearest hundredth.
$\frac{6}{14} = \frac{7}{x - 3}$