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Chapter 10: Problem 7

Quantity_A \(4\left(\frac{1}{2} x+2 y\right)\) Quantity B \\[2 x+8 y\\] a. Quantity A is greater. b. Quantity B is greater. c. The two quantities are equal. d. The relationship cannot be determined from the information given

Short Answer

Expert verified
c. The two quantities are equal.

Step by step solution

01

Simplify Quantity A

Using the distributive property, multiply \(4\) inside the parentheses in Quantity A to get: \(2x + 8y\).
02

Compare Quantity A and Quantity B

After simplifying, we see that Quantity A equals \(2x + 8y\), and Quantity B is given as \(2x + 8y\). Therefore, Quantity A and Quantity B are identical.

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