how many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)\nzero\none\ntwo\n…

how many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)\nzero\none\ntwo\ninfinitely many

how many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)\nzero\none\ntwo\ninfinitely many

Answer

Explanation:

Step1: Expand both sides

$0.75x + 0.75\times40=0.35x+0.35\times20 + 0.35x+0.35\times20$ $0.75x + 30 = 0.7x+14$

Step2: Move like - terms to one side

$0.75x-0.7x=14 - 30$ $0.05x=-16$

Step3: Solve for x

$x=\frac{-16}{0.05}=-320$

Answer:

B. one