Question

Can I get some help I think I did this wrong and I guessed :/

Answer 1

You'll want to first simplify the expression $(2t-8)- \frac{1}{2} (9-4t)+ \frac{5}{2}}$.

To do that, first distribute the $- \frac{1}{2}$:

$(2t-8)- \frac{1}{2} (9-4t)+ \frac{5}{2}}$
$2t-8- \frac{9}{2} +2x+ \frac{5}{2}$

From there, you may just combine like terms:

$2t-8- \frac{9}{2} +2t+ \frac{5}{2}$
$4t-8- \frac{9}{2} + \frac{5}{2}$
$4t-8- \frac{4}{2}$
$4t-8-2$
$4t-10$

Answer:
D. 4t - 10

Answer 2

Very true, guessing does not help in math.

2t-(1/2)(-4t)=2t+2t=4t

-8 -(1/2)(9)+5/2 =-8-(4.5)+2.5=-10
So the final answer is
4t-10