Cable subscribers pay $180 per month (180m) plus a one time maintenance fee of $200 while a satellite dish company charges $230 per month (230m). How many months will it take a cable subscriber to save money compared to the satellite dish company? (Set your equation with the cable = to the satellite dish and solve for m)

Compare the subtraction problems 6/8 - 5/8 = 1/8 and 6/9 - 7/9 = 1/9 why is the answer to the first problem positive and the answer to the second problem negative

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2