Finite Math Examples

$72 = p (0.6) (\frac{3}{4})$

Step 1

Rewrite the equation as $p (0.6) (\frac{3}{4}) = 72$ .

$p (0.6) (\frac{3}{4}) = 72$

Step 2

Simplify $p (0.6) (\frac{3}{4})$ .

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Step 2.1

Move $0.6$ to the left of $p$ .

$0.6 p \frac{3}{4} = 72$

Step 2.2

Multiply $0.6 p \frac{3}{4}$ .

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Step 2.2.1

Combine $0.6$ and $\frac{3}{4}$ .

$p \frac{0.6 \cdot 3}{4} = 72$

Step 2.2.2

Multiply $0.6$ by $3$ .

$p \frac{1.8}{4} = 72$

Step 2.2.3

Combine $p$ and $\frac{1.8}{4}$ .

$\frac{p \cdot 1.8}{4} = 72$

$\frac{p \cdot 1.8}{4} = 72$

Step 2.3

Move $1.8$ to the left of $p$ .

$\frac{1.8 \cdot p}{4} = 72$

Step 2.4

Factor $1.8$ out of $1.8 \cdot p$ .

$\frac{1.8 (p)}{4} = 72$

Step 2.5

Factor $4$ out of $4$ .

$\frac{1.8 (p)}{4 (1)} = 72$

Step 2.6

Separate fractions.

$\frac{1.8}{4} \cdot \frac{p}{1} = 72$

Step 2.7

Divide $1.8$ by $4$ .

$0.45 \frac{p}{1} = 72$

Step 2.8

Divide $p$ by $1$ .

$0.45 p = 72$

$0.45 p = 72$

Step 3

Divide each term in $0.45 p = 72$ by $0.45$ and simplify.

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Step 3.1

Divide each term in $0.45 p = 72$ by $0.45$ .

$\frac{0.45 p}{0.45} = \frac{72}{0.45}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $0.45$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{0.45 p}{0.45} = \frac{72}{0.45}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{72}{0.45}$

$p = \frac{72}{0.45}$

$p = \frac{72}{0.45}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $72$ by $0.45$ .

$p = 160$

$p = 160$

$p = 160$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$