Question:

If \( 4xs = v \), \( v = ks \), and \( sv \neq 0 \), which of the following is equal to \(k\)?

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When comparing two forms of an equation, isolate the desired variable and substitute step by step.
Updated On: Sep 30, 2025
  • \( 4xv \)
  • \( x \)
  • \( 4x \)
  • \( 2xv \)
  • \( xv \)
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The Correct Option is C

Solution and Explanation

Step 1: Start with given equations.
\[ 4xs = v, \quad v = ks \]
Step 2: Express \(k\).
From \(v = ks\): \[ k = \frac{v}{s} \]
Step 3: Substitute for \(v\).
\[ v = 4xs \quad \Rightarrow \quad k = \frac{4xs}{s} = 4x \]
Final Answer: \[ \boxed{4x} \]
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