The Diaz family and the Johnson family each used their sprinklers last summer. The water output rate for the Diaz family's sprinkler was 40 L per hour. The water output rate for the Johnson family's sprinkler was 30 L per hour. The families used their sprinklers for a combined total of 50 hours, resulting in a total water output of 1800 L. How long was each sprinkler used?

Diaz family's sprinkler: x hours
Johnson family's sprinkler: x hours

this might get deleted, sorry. it has to be an actual question. if you really wanted to give someone free points, ask a question like "why does the sky look blue, and the sun is yellow to our eyes? "

step-by-step explanation:

this doesn't make sense lol

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!