Question

which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help fast!!!!!!!!

Answer 1

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

$\frac{3}{4}+m=-\frac{7}{4}$

We solve for m to obtain:

$m=-\frac{7}{4}-\frac{3}{4}=-2.5$

We also solve the remaining equations to see which ones give the same result.

A: $m=\frac{10}{4} =2.5$

B:$m=-\frac{10}{4} =-2.5$

C:$m=-\frac{5}{2} =-2.5$

D: $\frac{11}{4}+m=-\frac{1}{4}$

$m=-\frac{1}{4}-\frac{11}{4}=-3$

E: $-\frac{5}{4}+m=-\frac{15}{4}$

$m=-\frac{15}{4}+\frac{5}{4}=-2.5$

F: $m+2=-0.5$

$m=-0.5-2=-2.5$

The equivalent equations are; B,C,E, and F.

Answer 2

Answer:

$m=-\frac{10}{4}$

$m=-\frac{5}{2}$

$-\frac{5}{4}+m=-\frac{15}{4}$

$m+2=-0.5$

Step-by-step explanation:

Given equation,

$\frac{3}{4}+m=-\frac{7}{4}$

$\implies m = -\frac{7}{4}-\frac{3}{4}=\frac{-7-3}{4}=-\frac{10}{4}=-\frac{5}{2}$,

Since, $\frac{10}{4}\neq -\frac{5}{2}$

$\frac{11}{4}+m = -\frac{1}{4}$

$\implies m = -\frac{1}{4}-\frac{11}{4}=\frac{-1-11}{4}=-\frac{12}{4}=-3\neq -\frac{5}{2}$

$-\frac{5}{4}+m=-\frac{15}{4}\implies m = -\frac{15}{4}+\frac{5}{4}=\frac{-15+5}{4}=-\frac{10}{4}$

$m+2=-0.5\implies m = -0.5-2\implies m = -2.5=-\frac{5}{2}$