\frac{ 0.4 \times 300(2 \times 0.46-0.5 }{ 0.46 \times 0.5 }
Evaluate
\frac{5040}{23}\approx 219.130434783
Factor
\frac{5 \cdot 7 \cdot 2 ^ {4} \cdot 3 ^ {2}}{23} = 219\frac{3}{23} = 219.1304347826087
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\frac{120\left(2\times 0.46-0.5\right)}{0.46\times 0.5}
Multiply 0.4 and 300 to get 120.
\frac{120\left(0.92-0.5\right)}{0.46\times 0.5}
Multiply 2 and 0.46 to get 0.92.
\frac{120\times 0.42}{0.46\times 0.5}
Subtract 0.5 from 0.92 to get 0.42.
\frac{50.4}{0.46\times 0.5}
Multiply 120 and 0.42 to get 50.4.
\frac{50.4}{0.23}
Multiply 0.46 and 0.5 to get 0.23.
\frac{5040}{23}
Expand \frac{50.4}{0.23} by multiplying both numerator and the denominator by 100.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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}