Solve for w
w=\frac{3}{10}=0.3
Quiz
Linear Equation
5 problems similar to:
20 \left( \frac{ 3 }{ 20 } +w+ \frac{ 3 }{ 20 } +w \right) =18
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\frac{3}{20}+w+\frac{3}{20}+w=\frac{18}{20}
Divide both sides by 20.
\frac{3}{20}+w+\frac{3}{20}+w=\frac{9}{10}
Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.
\frac{3+3}{20}+w+w=\frac{9}{10}
Since \frac{3}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.
\frac{6}{20}+w+w=\frac{9}{10}
Add 3 and 3 to get 6.
\frac{3}{10}+w+w=\frac{9}{10}
Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.
\frac{3}{10}+2w=\frac{9}{10}
Combine w and w to get 2w.
2w=\frac{9}{10}-\frac{3}{10}
Subtract \frac{3}{10} from both sides.
2w=\frac{9-3}{10}
Since \frac{9}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.
2w=\frac{6}{10}
Subtract 3 from 9 to get 6.
2w=\frac{3}{5}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
w=\frac{\frac{3}{5}}{2}
Divide both sides by 2.
w=\frac{3}{5\times 2}
Express \frac{\frac{3}{5}}{2} as a single fraction.
w=\frac{3}{10}
Multiply 5 and 2 to get 10.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}