Question

Which pair shows equivalent expressions?

Answer 1

2($\frac{2}{5}$x + 4) =  $\frac{4}{5}$x + 4 which is the second option is the equivalent expression.

Explanation:

First,  we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to $\frac{2}{5}$x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 ($\frac{2}{5}$x + 2) = $\frac{4}{5}$x + 4.

2)  (two-fifths x + 4) = 2($\frac{2}{5}$x + 4) =  $\frac{4}{5}$x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2$\frac{2}{5}$x + 1

2) Four-fifths x + 4 = $\frac{4}{5}$x + 4

3) Four-fifths x + 2 = $\frac{4}{5}$x + 2

4) Two and two-fifths x + 8 = 2$\frac{2}{5}$x + 8.

Out of the various LHS and RHS values, the $1^{st}$ LHS value and $2^{nd}$ RHS value is the same. So option 2 is the answer.

Answer 2

Answer:

second option

Step-by-step explanation: