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=((2)/(3))/((5)/(6))+5\cdot3^2`

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

`\begin{gathered} E=(2)/(3)\cdot(6)/(5)+5\cdot9 \\ E=(12)/(15)+45 \end{gathered}`

Simplifying the fraction and operating the resulting fractions:

`\begin{gathered} E=(4)/(5)+45 \\ E=(4+5\cdot45)/(5) \\ E=(4+225)/(5) \\ E=(229)/(5) \end{gathered}`