Finite Math Examples

$c (2000) = 6.6 x + 10300$

Step 1

Divide each term in $c (2000) = 6.6 x + 10300$ by $2000$ .

$\frac{c \cdot 2000}{2000} = \frac{6.6 x}{2000} + \frac{10300}{2000}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $2000$ .

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Step 2.1.1

Cancel the common factor.

$\frac{c \cdot 2000}{2000} = \frac{6.6 x}{2000} + \frac{10300}{2000}$

Step 2.1.2

Divide $c$ by $1$ .

$c = \frac{6.6 x}{2000} + \frac{10300}{2000}$

Step 3

Simplify the right side.

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Step 3.1

Simplify each term.

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Step 3.1.1

Factor $6.6$ out of $6.6 x$ .

$c = \frac{6.6 (x)}{2000} + \frac{10300}{2000}$

Step 3.1.2

Factor $2000$ out of $2000$ .

$c = \frac{6.6 (x)}{2000 (1)} + \frac{10300}{2000}$

Step 3.1.3

Separate fractions.

$c = \frac{6.6}{2000} \cdot \frac{x}{1} + \frac{10300}{2000}$

Step 3.1.4

Divide $6.6$ by $2000$ .

$c = 0.0033 \frac{x}{1} + \frac{10300}{2000}$

Step 3.1.5

Divide $x$ by $1$ .

$c = 0.0033 x + \frac{10300}{2000}$

Step 3.1.6

Cancel the common factor of $10300$ and $2000$ .

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Step 3.1.6.1

Factor $100$ out of $10300$ .

$c = 0.0033 x + \frac{100 (103)}{2000}$

Step 3.1.6.2

Cancel the common factors.

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Step 3.1.6.2.1

Factor $100$ out of $2000$ .

$c = 0.0033 x + \frac{100 \cdot 103}{100 \cdot 20}$

Step 3.1.6.2.2

Cancel the common factor.

$c = 0.0033 x + \frac{100 \cdot 103}{100 \cdot 20}$

Step 3.1.6.2.3

Rewrite the expression.

$c = 0.0033 x + \frac{103}{20}$