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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 8: Q. 383 (page 996)

Solve Proportions
$\frac{2 p + 4}{8} = \frac{p + 18}{6}$

Short Answer

Expert verified

Ans: $\frac{2 p + 4}{8} = \frac{p + 18}{6} 鈬� p = 30$

Step by step solution

Step 1. Given information

given $\frac{2 p + 4}{8} = \frac{p + 18}{6}$

Step 2. Simplify

$\frac{2 p + 4}{8} = \frac{p + 18}{6} 鈬� 12 p + 24 = 8 p + 144 鈬� 4 p = 120 鈬� p = 30$

Step 3. Check

check, $p = 30$ in the original proportion.

localid="1647790900465" $\frac{2 p + 4}{8} = \frac{p + 18}{6} 鈬� \frac{2 脳 30 + 4}{8} = \frac{30 + 18}{6} 鈬� 8 = 8$

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Solve Proportions2p+48=p+186

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Check

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Solve Proportions
$\frac{2 p + 4}{8} = \frac{p + 18}{6}$