"Jack uses 19 more quarts of paint for the outside of a shed than for the inside. If Jack uses 89 quarts of paint in all, how many gallons will he use for inside the shed?"

8.75 gallons

Step-by-step explanation:

Let the quarts of paints used for the inside be represented by x.

Since Jack uses 19 more quarts of paint for the outside of a shed than for the inside, the outside will be: x + 19.

Then, the equation to solve the question will be:

x + (x + 19) = 89

2x + 19 = 89

2x = 89 - 19

2x = 70

x = 70/2

x = 35

He used 35quarts of paint for the inside.

Since 4 quarts = 1 gallon

35 quarts = 35/4gallon = 8.75gallons

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!