Laura has two large cylindrical barrels of solution in her chemical laboratory. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura drains the first barrel at a rate of 36 liters per minute, Laura fills the second barrel at a rate of 44 liters per minute. Which inequality represents the minutes, m, when the second barrel contains a greater or equal amount of solution than the first barrel.

900 - 36x ≤ 100 + 44x

Step-by-step explanation:

First barrel holds 900L and is drained 36L per minute which means subtraction

Second has 100L and is filled 44L per minute which means addition.

900 - 36L * x (minutes) ≤ 100 + 44L * x (minutes)

Hope this helps! :)

(pls mark brainiest)

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!