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13. Don wrote the expression 8 less than the product of \( m \) and 10 . What algebraic expression did he write? What is the value of the expression for \( m=7 \) ?

Ask by Hills Henry. in the United States
Jan 22,2025

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Tutor-Verified Answer

Answer

The algebraic expression is \( 10m - 8 \). When \( m = 7 \), the expression equals 62.

Solution

To solve the problem, we need to break it down step by step. 1. **Extract the known conditions:** - The expression is "8 less than the product of \( m \) and 10". - We need to find the algebraic expression and then evaluate it for \( m = 7 \). 2. **Formulate the algebraic expression:** - The product of \( m \) and 10 can be written as \( 10m \). - "8 less than" this product means we subtract 8 from \( 10m \). - Therefore, the algebraic expression is: \[ 10m - 8 \] 3. **Evaluate the expression for \( m = 7 \):** - Substitute \( m = 7 \) into the expression \( 10m - 8 \): \[ 10(7) - 8 \] Now, let's calculate this step: \[ 10(7) = 70 \] \[ 70 - 8 = 62 \] Thus, the value of the expression for \( m = 7 \) is \( 62 \). In summary: - The algebraic expression is \( 10m - 8 \). - The value of the expression for \( m = 7 \) is \( 62 \).

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Don's expression for "8 less than the product of \( m \) and 10" can be written as \( 10m - 8 \). This means you take the product of \( m \) and 10, and then subtract 8 from it. Now, to find the value of the expression when \( m = 7 \), we substitute 7 into the expression: \( 10(7) - 8 = 70 - 8 = 62 \). So, the value of the expression for \( m = 7 \) is 62.

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