What is the answer to 99.99(x/(10+x))=0.825 ?

The answer to 99.99(x/(10+x))=0.825 is x= 50/601

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99.99(x/(10+x))=0.825

99.99 (\frac{x}{10 + x}) = 0.825

x = \frac{50}{601}

Solution steps

99.99 (\frac{x}{10 + x}) = 0.825

Multiply both sides by

1000

\frac{99990 x}{10 + x} = 825

Multiply both sides by

10 + x

99990 x = 825 (10 + x)

Expand

825 (10 + x) : 8250 + 825 x

99990 x = 8250 + 825 x

Move

825 x

to the left side

99165 x = 8250

Divide both sides by

99165

x = \frac{50}{601}

Verify Solutions

Find undefined (singularity) points:

x = - 10

Combine undefined points with solutions:

x = \frac{50}{601}

\frac{1}{2} m = \frac{m}{2 m}

\frac{2}{x} = \frac{8}{5 x} + 2

\frac{7}{x - 4} = \frac{5}{x + 2}

a = \frac{c d}{x}

\frac{3}{x - 5} = \frac{4}{x + 5}

What is the answer to 99.99(x/(10+x))=0.825 ?
The answer to 99.99(x/(10+x))=0.825 is x= 50/601
Solve for x: 99.99(x/(10+x))=0.825
The solution is x= 50/601