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Chapter 0: Problem 30

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$P=C+M C \text { for } M$$

Short Answer

Expert verified
The formula \(M = \frac{P - C}{C}\) is the solution, and it describes the relationship between variables M, P, and C.

Step by step solution

01

Isolate the terms with M

First, group all the terms containing the variable \(M\) on one side of the equation. The equation is \(P = C + MC\), we first subtract \(C\) from both sides, getting a new equation: \(P - C = MC\)
02

Isolate M

To get \(M\) on its own, you need to remove the \(C\) that it's currently multiplied by. You do that by dividing by \(C\). This gives you: \(M = \frac{P - C}{C}\)
03

Simplified form

The solution is the most simplified form of the equation.\(M = \frac{P - C}{C}\) is the most simplified form.

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Most popular questions from this chapter

In Exercises \(133-136\), determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$\frac{\sqrt{20}}{8}=\frac{\sqrt{10}}{4}$$

Write a quadratic equation in general form whose solution set is \(\\{-3,5\\}\).

Exercises \(142-144\) will help you prepare for the material covered in the next section. $$\text { Multiply: }\left(2 x^{3} y^{2}\right)\left(5 x^{4} y^{7}\right)$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. $$x^{3}-64=(x+4)\left(x^{2}+4 x-16\right)$$

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation \((2 x-3)^{2}=25\) is equivalent to \(2 x-3=5\).
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