Question
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Solve the formula for the indicated variable. \[ C=p m+z \text {, for } \mathrm{m} \] The solution is \( \mathrm{m}=\square \).

Ask by Owen Jimenez. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

\( m = \frac{C - z}{p} \)

Solution

Start with the equation:   C = p·m + z Step 1: Subtract z from both sides:   C − z = p·m Step 2: Divide both sides by p (assuming p ≠ 0):   m = (C − z) / p So, the solution is:   m = (C − z) / p

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The Deep Dive

To solve for \( m \) in the formula \( C = pm + z \), start by isolating the term containing \( m \). First, subtract \( z \) from both sides: \[ C - z = pm \] Next, divide both sides by \( p \): \[ m = \frac{C - z}{p} \] So the solution is \( m = \frac{C - z}{p} \). Now you have a neat formula that allows you to compute \( m \) using \( C \), \( z \), and \( p \)!

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