What is the answer to (3^2)/(4(r/3))=5 ?

The answer to (3^2)/(4(r/3))=5 is r= 27/20

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(3^2)/(4(r/3))=5

\frac{3 ^{2}}{4 ( \frac{r}{3} )} = 5

r = \frac{27}{20}

Decimal Notation

r = 1.35

Solution steps

\frac{3 ^{2}}{4 ( \frac{r}{3} )} = 5

Simplify

\frac{3 ^{2}}{4 ( \frac{r}{3} )} : \frac{3 ^{3}}{4 r}

\frac{3 ^{3}}{4 r} = 5

Multiply both sides by

r

\frac{3 ^{3}}{4} = 5 r

Switch sides

5 r = \frac{3 ^{3}}{4}

3^{3} = 27

5 r = \frac{27}{4}

Divide both sides by

5

r = \frac{27}{20}

Verify Solutions

Find undefined (singularity) points:

r = 0

Combine undefined points with solutions:

r = \frac{27}{20}

\frac{3}{5 x} = - 7

\frac{x}{x + 15} = \frac{4}{9}

\frac{8}{3 c - 2} = \frac{2}{3 c - 12}

\frac{x}{9} = \frac{8}{2 x}

\frac{4}{x} = \frac{18}{5 x} + 2

What is the answer to (3^2)/(4(r/3))=5 ?
The answer to (3^2)/(4(r/3))=5 is r= 27/20
Solve for r: (3^2)/(4(r/3))=5
The solution is r= 27/20