Finite Math Examples

$20 = 2000 (\frac{r}{360}) (90)$

Step 1

Rewrite the equation as $2000 (\frac{r}{360}) \cdot 90 = 20$ .

$2000 (\frac{r}{360}) \cdot 90 = 20$

Step 2

Simplify $2000 (\frac{r}{360}) \cdot 90$ .

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Step 2.1

Cancel the common factor of $40$ .

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Step 2.1.1

Factor $40$ out of $2000$ .

$40 (50) \frac{r}{360} \cdot 90 = 20$

Step 2.1.2

Factor $40$ out of $360$ .

$40 \cdot 50 \frac{r}{40 \cdot 9} \cdot 90 = 20$

Step 2.1.3

Cancel the common factor.

$40 \cdot 50 \frac{r}{40 \cdot 9} \cdot 90 = 20$

Step 2.1.4

Rewrite the expression.

$50 \frac{r}{9} \cdot 90 = 20$

$50 \frac{r}{9} \cdot 90 = 20$

Step 2.2

Combine $50$ and $\frac{r}{9}$ .

$\frac{50 r}{9} \cdot 90 = 20$

Step 2.3

Cancel the common factor of $9$ .

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Step 2.3.1

Factor $9$ out of $90$ .

$\frac{50 r}{9} \cdot (9 (10)) = 20$

Step 2.3.2

Cancel the common factor.

$\frac{50 r}{9} \cdot (9 \cdot 10) = 20$

Step 2.3.3

Rewrite the expression.

$50 r \cdot 10 = 20$

$50 r \cdot 10 = 20$

Step 2.4

Multiply $10$ by $50$ .

$500 r = 20$

$500 r = 20$

Step 3

Divide each term in $500 r = 20$ by $500$ and simplify.

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Step 3.1

Divide each term in $500 r = 20$ by $500$ .

$\frac{500 r}{500} = \frac{20}{500}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $500$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{500 r}{500} = \frac{20}{500}$

Step 3.2.1.2

Divide $r$ by $1$ .

$r = \frac{20}{500}$

$r = \frac{20}{500}$

$r = \frac{20}{500}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Cancel the common factor of $20$ and $500$ .

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Step 3.3.1.1

Factor $20$ out of $20$ .

$r = \frac{20 (1)}{500}$

Step 3.3.1.2

Cancel the common factors.

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Step 3.3.1.2.1

Factor $20$ out of $500$ .

$r = \frac{20 \cdot 1}{20 \cdot 25}$

Step 3.3.1.2.2

Cancel the common factor.

$r = \frac{20 \cdot 1}{20 \cdot 25}$

Step 3.3.1.2.3

Rewrite the expression.

$r = \frac{1}{25}$

$r = \frac{1}{25}$

$r = \frac{1}{25}$

$r = \frac{1}{25}$

$r = \frac{1}{25}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \frac{1}{25}$

Decimal Form:

$r = 0.04$

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