Pregunta
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
Solución de tutoría real
Respuesta verificada por el tutor
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The algebraic expression is \( 10m - 8 \). When \( m = 7 \), the expression equals 62.
Solución
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 \( 62 \).
Revisado y aprobado por el equipo de tutoría de UpStudy
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Extra Insights
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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