What is the answer to 3750=(1225}{(0.289+\frac{0.1)/x)} ?

The answer to 3750=(1225}{(0.289+\frac{0.1)/x)} is x= 300/113

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3750=(1225}{(0.289+\frac{0.1)/x)}

3750 = \frac{1225}{( 0.289 + \frac{0.1}{x} )}

x = \frac{300}{113}

Decimal Notation

x = 2.65486 \dots

Solution steps

3750 = \frac{1225}{( 0.289 + \frac{0.1}{x} )}

Simplify

\frac{1225}{( 0.289 + \frac{0.1}{x} )} : \frac{1225}{0.289 + \frac{0.1}{x}}

3750 = \frac{1225}{0.289 + \frac{0.1}{x}}

Multiply both sides by

0.289 + \frac{0.1}{x}

3750 (0.289 + \frac{0.1}{x}) = 1225

Expand

3750 (0.289 + \frac{0.1}{x}) : 1083.75 + \frac{375}{x}

1083.75 + \frac{375}{x} = 1225

Move

1083.75

to the right side

\frac{375}{x} = 141.25

Multiply both sides by

x

375 = 141.25 x

Switch sides

141.25 x = 375

Multiply both sides by

100

14125 x = 37500

Divide both sides by

14125

x = \frac{300}{113}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{100}{289}, x = 0

Combine undefined points with solutions:

x = \frac{300}{113}

\frac{3}{( x - 4 )} = \frac{2}{( x - 3 )} + \frac{8}{( x ^{2} - 7 x + 12 )}

x, \frac{2}{( x + 2 y )} + \frac{1}{( 2 x - y )} + \frac{5}{9} = 0

\frac{( n + 1 ) !}{( n + 3 ) !} = 600

\frac{( - 2 ) + x}{7 x} = 21

\frac{3 y + 4}{2 - 6 y} = \frac{- 2}{5}

What is the answer to 3750=(1225}{(0.289+\frac{0.1)/x)} ?
The answer to 3750=(1225}{(0.289+\frac{0.1)/x)} is x= 300/113
Solve for x: 3750=(1225}{(0.289+\frac{0.1)/x)}
The solution is x= 300/113