Question

Which expression is equivalent to%C2%A0 30(12x−2)+40(34y−4) (1 point) Responses 15x+30y−220 15 x plus 30 y minus 220 45xy−220 45 x y minus 220 15x−30y−220 15 x minus 30 y minus 220 15x+30y−64

Answer 1

To simplify the expression \( 30(12x - 2) + 40(34y - 4) \), we can use the distributive property to expand it.

1. Expand the first term:
\[
30(12x - 2) = 30 \cdot 12x - 30 \cdot 2 = 360x - 60
\]

2. Expand the second term:
\[
40(34y - 4) = 40 \cdot 34y - 40 \cdot 4 = 1360y - 160
\]

3. Combine both results:
\[
360x - 60 + 1360y - 160 = 360x + 1360y - 220
\]

Now, the simplified expression is \( 360x + 1360y - 220 \).

None of the options provided match this exact expression. However, if we divide the entire expression by 20 for simplification, we get:
\[
\frac{360x + 1360y - 220}{20} = 18x + 68y - 11
\]

However, this still does not correspond to the options you provided.

It seems like there might be a mistake in the options or in their interpretation. Please verify the options, as the expanded expression \( 360x + 1360y - 220 \) does not simplify down to any of the choices given.