Ms. Braniff has some quarters and 12 pennies in her piggy bank. Mr. Tebeau has three time as as many quarters as Ms. Braniff. If they put all their coins together, they have $8.12. How many quarters do each of them have?

answer: 20

step-by-step explanation:

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!

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: