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Chapter 10: Problem 7

Quantity_A \(4\left(\frac{1}{2} x+2 y\right)\) Quantity \(\mathbf{B}\) \(2 x+8 y\) 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
The two quantities are equal, hence the correct answer is C. The two quantities are equal.

Step by step solution

01

Simplify Quantity A

To simplify Quantity A, distribute the 4 inside the parentheses to both \( \frac{1}{2} x\) and \(2y\). This gives us \(2x + 8y\).
02

Compare Quantity A and Quantity B

Now, let's compare the simplified expressions for Quantity A and Quantity B. Seeing that both quantities are \(2x + 8y\), we can say that Quantity A is equal to Quantity B.

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