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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 1: Q. 1240 (page 199)

In the following exercises, use the Associative Property to simplify :
$30 (\frac{5}{6} q)$ .

Short Answer

Expert verified

The solution is $25 q$ .

Step by step solution

01

Step 1. Given Information.

Use the Associative Property to simplify : $30 (\frac{5}{6} q)$ .

02

Step 2. Calculation.

Associative Property of Multiplication: If $a, b, c$ are real numbers, then

(a b) c = a (b c)

.

Then,

$= 30 (\frac{5}{6} q) = (30 \times \frac{5}{6}) q = (5 \times 5) q = 25 q$ .

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Lauren has dimes and nickels in her purse. The number of dimes is three more than seven times the number of nickels. Let n represent the number of nickels. Write an expression for the number of dimes.

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