15*30 + ½*-0.5*30^2

asked by guest
on Nov 17, 2024 at 9:42 pm



You asked:

Evaluate the expression: \(15 \cdot 30 + \frac{1}{2} \cdot -0.5 \cdot {30}^{2}\)

MathBot Answer:

\[15 \cdot 30 + \frac{1}{2} \cdot -0.5 \cdot {30}^{2} = 225\]

\[\begin{aligned}15 \cdot 30 + \frac{1}{2} \cdot -0.5 \cdot {30}^{2}& = 15 \cdot 30 + \frac{-1}{2} \cdot \frac{5}{10} \cdot 30^{2}\\& = 450 + \frac{-1}{2} \cdot \frac{5}{10} \cdot 30^{2}\\& = 450 + \frac{-1}{2} \cdot \frac{1}{2} \cdot 30^{2}\\& = 450 + \frac{-1}{2} \cdot \frac{900}{2}\\& = 450 - \frac{900}{4}\\& = 450 - 225\\& = 225\end{aligned}\]

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