Solve 1/c=15.0mm/3*10^2m/s=

$$\frac { 1 } { c } = \frac { 15.0 mm } { 3 \times 10 ^ { 2 } m / s } =$$

Solve for c

$$c=\frac{20}{ms}$$

$$m\neq 0\text{ and }s\neq 0$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by c.

$$1=\frac{1}{300}cm^{-1}s\times 15mm$$

Multiply m and m to get m^{2}.

$$1=\frac{1}{300}cm^{-1}s\times 15m^{2}$$

To multiply powers of the same base, add their exponents. Add -1 and 2 to get 1.

$$1=\frac{1}{300}cm^{1}s\times 15$$

Calculate m to the power of 1 and get m.

$$1=\frac{1}{300}cms\times 15$$

Multiply \frac{1}{300} and 15 to get \frac{1}{20}.

$$1=\frac{1}{20}cms$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{20}cms=1$$

The equation is in standard form.

$$\frac{ms}{20}c=1$$

Divide both sides by \frac{1}{20}ms.

$$\frac{20\times \frac{ms}{20}c}{ms}=\frac{20}{ms}$$

Dividing by \frac{1}{20}ms undoes the multiplication by \frac{1}{20}ms.

$$c=\frac{20}{ms}$$

Variable c cannot be equal to 0.

$$c=\frac{20}{ms}\text{, }c\neq 0$$

Solve for m

$$m=\frac{20}{cs}$$

$$c\neq 0\text{ and }s\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c.

$$1=\frac{1}{300}cm^{-1}s\times 15mm$$

Multiply m and m to get m^{2}.

$$1=\frac{1}{300}cm^{-1}s\times 15m^{2}$$

To multiply powers of the same base, add their exponents. Add -1 and 2 to get 1.

$$1=\frac{1}{300}cm^{1}s\times 15$$

Calculate m to the power of 1 and get m.

$$1=\frac{1}{300}cms\times 15$$

Multiply \frac{1}{300} and 15 to get \frac{1}{20}.

$$1=\frac{1}{20}cms$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{20}cms=1$$

The equation is in standard form.

$$\frac{cs}{20}m=1$$

Divide both sides by \frac{1}{20}cs.

$$\frac{20\times \frac{cs}{20}m}{cs}=\frac{20}{cs}$$

Dividing by \frac{1}{20}cs undoes the multiplication by \frac{1}{20}cs.

$$m=\frac{20}{cs}$$