Chapter 8: Q. 374 (page 996)

In the following exercises, solve.
$\frac{b}{- 7} = \frac{- 30}{42}$

Short Answer

Expert verified

The simplification of $\frac{b}{- 7} = \frac{- 30}{42}$ is $b = 6$

Step by step solution

Step 1. Given Information

An expression:
$\frac{b}{- 7} = \frac{- 30}{42}$

Step 2. Isolate the variable.

To isolate the variable, multiply both sides by the LCD $- 7$

$\frac{b}{- 7} \times - 7 = \frac{- 30}{42} \times - 7$

Step 3. Simplify the expression

By simplification,

$b = \frac{- 30 \times - 7}{42} = 6$

Step 4. Check the answer

To check our answer, we substitute into the original proportion.

$\frac{b}{- 7} = \frac{- 30}{42} \frac{6}{- 7} = \frac{- 30}{42} - \frac{6}{7} = - \frac{6}{7}$

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In the following exercises, solve.
$\frac{b}{- 7} = \frac{- 30}{42}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Isolate the variable.

Step 3. Simplify the expression

Step 4. Check the answer

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In the following exercises, solve.b-7=-3042

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Isolate the variable.

Step 3. Simplify the expression

Step 4. Check the answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve.
$\frac{b}{- 7} = \frac{- 30}{42}$