Questions: Twice a number divided by 6 is 42. A) 8-n>8 B) n * 8>8 C) 2n/6=42 D) n+8=8

Twice a number divided by 6 is 42. A) 8-n>8 B) n * 8>8 C) 2n/6=42 D) n+8=8
Transcript text: 5) "Twice a number divided by 6 is 42 ." A) $8-n>8$ B) $n \cdot 8>8$ C) $\frac{2 n}{6}=42$ D) $n+8=8$
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Solution

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Solution Steps

Step 1: Translate the problem into an equation

The problem states: "Twice a number divided by 6 is 42." Let the unknown number be \( n \). Translating this into an equation gives: \[ \frac{2n}{6} = 42 \]

Step 2: Simplify the equation

Simplify the left-hand side of the equation: \[ \frac{2n}{6} = \frac{n}{3} \] So the equation becomes: \[ \frac{n}{3} = 42 \]

Step 3: Solve for \( n \)

Multiply both sides of the equation by 3 to isolate \( n \): \[ n = 42 \times 3 \] \[ n = 126 \]

Final Answer

The correct equation from the options is: \[ \boxed{\frac{2n}{6} = 42} \] The answer is C.

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