Solve the following equation for d. 2(7d+2) +5d =156 a.10 b.2 c.8 d.4

C. 8

Step-by-step explanation:

First distribute (multiply) the 2 to the 7d and 2

14d + 4 + 5d = 156

Then combine like terms ( add 14d and 5d)

19d + 4 = 156

Subtract 4 from 156

19d = 152

Divide 152 by 19

d = 8

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Let's solve your equation step-by-step.

2(7d+2)+5d=156

Step 1: Simplify both sides of the equation.

2(7d+2)+5d=156

(2)(7d)+(2)(2)+5d=156(Distribute)

14d+4+5d=156

(14d+5d)+(4)=156(Combine Like Terms)

19d+4=156

19d+4=156

Step 2: Subtract 4 from both sides.

19d+4−4=156−4

19d=152

Step 3: Divide both sides by 19.

19d

19

152

19

d=8

d=8

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!