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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 384 (page 996)

Solve Proportions
$\frac{q - 2}{2} = \frac{2 q - 7}{18}$

Short Answer

Expert verified

Ans: $\frac{q - 2}{2} = \frac{2 q - 7}{18} \Rightarrow q = \frac{11}{7}$

Step by step solution

01

Step 1. Given information

given $\frac{q - 2}{2} = \frac{2 q - 7}{18}$

02

Step 2. Simplify

$\frac{q - 2}{2} = \frac{2 q - 7}{18} \Rightarrow 18 q - 36 = 4 p - 14 \Rightarrow 14 q = 22 \Rightarrow q = \frac{11}{7}$

03

Step 3. Check

check, $q = \frac{11}{7}$ in the original proportion.

$\frac{q - 2}{2} = \frac{2 q - 7}{18} \Rightarrow \frac{\frac{11}{7} - 2}{2} = \frac{2 \times \frac{11}{7} - 7}{18} \Rightarrow - 0.214 = - 0.214$

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Most popular questions from this chapter

Pediatricians prescribe $5 m l$ of acetaminophen for every $25 p o u n d s$ of a child's weight. How many milliliters of acetaminophen will the doctor prescribe for Jocelyn, who weighs $45 p o u n d s$ ?

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$\frac{\frac{3}{4} - \frac{2}{7}}{\frac{1}{2} + \frac{5}{14}}$

In the following exercises, solve.

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Electronics The resistance of a circuit formed by connecting two resistors in parallel is $\frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}}}$ .

Simplify the complex fraction role="math" localid="1647789125778" $\frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}}}$ .
Find the resistance of the circuit when $R_{1} = 8$ and $R_{2} = 12$ .

In the following exercises, simplify:

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See all solutions

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