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8. Which of the following expressions does NOT have the same value as the expression * 1 peint below? \[ 56-\left(3^{3}+13\right) \] \[ \frac{92-(12+16)}{4} \] A. \( \square \) \[ (6 \cdot 7) \div 3+2 \] C. \[ 6^{2} \div 4+5 \] B. \[ 19 \cdot 4-8^{2}+4 \] D.

Ask by Vargas May. in the United States
Jan 24,2025

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Option C does not have the same value as the given expression.

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To determine which expression does not have the same value, let's evaluate each expression step by step. First, calculate the original expression: \[ 56 - (3^{3} + 13) = 56 - (27 + 13) = 56 - 40 = 16. \] Now, evaluate the second expression: \[ \frac{92 - (12 + 16)}{4} = \frac{92 - 28}{4} = \frac{64}{4} = 16. \] Next, calculate the third expression: \[ (6 \cdot 7) \div 3 + 2 = 42 \div 3 + 2 = 14 + 2 = 16. \] Now evaluate the fourth expression: \[ 6^{2} \div 4 + 5 = 36 \div 4 + 5 = 9 + 5 = 14. \] Finally, let's check the last expression: \[ 19 \cdot 4 - 8^{2} + 4 = 76 - 64 + 4 = 12 + 4 = 16. \] Now, let's summarize: - Original expression: 16 - Second expression: 16 - Third expression: 16 - Fourth expression: 14 (not equal to original) - Fifth expression: 16 Thus, the expression that does NOT have the same value is: \[ (6^{2} \div 4 + 5) \text{ which equals } 14. \]

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