For what value of q is the equation –13(q + 4) = 7q + 16 true?

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-13(q + 4) = 7q + 16

Distribute the coefficient outside of the parenthesis:

-13(q) - 13(4) = 7q + 16

Simplify:

-13q - 52 = 7q + 16

Isolate for q by subtracting 7q from both sides:

-13q - 7q - 52 = 7q - 7q + 16

-20q - 52 = 16

Add 52 to both sides:

-20q - 52 + 52 = 16 + 52

-20q = 68

Divide both sides by -20:

-20q / (-20) = 68 / (-20)

q = -3.4

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88

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!