Pregunta
iven that \( h=2, q=12 \) and \( w=6 \), evaluate the following expression: \[ 12 w-\frac{12+q}{h} \]
Ask by Olson Jimenez. in Australia
Feb 04,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The result of the expression is 60.
Solución
Let's evaluate the expression step by step:
\[
12w - \frac{12 + q}{h}
\]
Given:
- \( h = 2 \)
- \( q = 12 \)
- \( w = 6 \)
**Step 1: Calculate \( 12w \)**
\[
12w = 12 \times 6 = 72
\]
**Step 2: Calculate \( \frac{12 + q}{h} \)**
\[
12 + q = 12 + 12 = 24
\]
\[
\frac{24}{h} = \frac{24}{2} = 12
\]
**Step 3: Subtract the two results**
\[
12w - \frac{12 + q}{h} = 72 - 12 = 60
\]
**Final Answer:**
\[
60
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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The Deep Dive
Let's evaluate the expression step by step using the given values \( h = 2, q = 12, \) and \( w = 6 \). The expression to evaluate is: \[ 12w - \frac{12 + q}{h} \] First, substitute the values into the expression: 1. Calculate \( 12w \): \[ 12w = 12 \times 6 = 72 \] 2. Now calculate \( \frac{12 + q}{h} \): - First, calculate \( 12 + q = 12 + 12 = 24 \) - Next, calculate \( \frac{24}{h} = \frac{24}{2} = 12 \) Now, we can substitute these results back into the expression: \[ 72 - 12 = 60 \] Thus, the final answer is: \[ \boxed{60} \]
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