Question

x 2 5 Evaluate + 5w2, for x = and y = and w = 3 3 A. 1129 /5 B. 229 /5 C. 275 /6 D. 79/ 5

Answer 1

Evaluate the following expression

$E=x/y+5w^{2}$

For x=2/3, y=5/6, and w=3

We substitute the given values in the expression:

$E=\frac{\frac{2}{3}}{\frac{5}{6}}+5\cdot3^2$

The division of fractions is equivalent to multiply by the reciprocal of the denominator:

$\begin{gathered} E=\frac{2}{3}\cdot\frac{6}{5}+5\cdot9 \\ E=\frac{12}{15}+45 \end{gathered}$

Simplifying the fraction and operating the resulting fractions:

$\begin{gathered} E=\frac{4}{5}+45 \\ E=\frac{4+5\cdot45}{5} \\ E=\frac{4+225}{5} \\ E=\frac{229}{5} \end{gathered}$