You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass, which cost $50, and pay $2 per ride. Option B is to pay $4.50 per ride. After how many rides will the total costs of the two options be the same? Write a system of equations in order to solve this problem.

Find the area of a square with a side length of 1/4 in.

∠1 and ∠2 are complementary. ∠1=x°∠2=(3x+30)° select from the drop down menu to correctly answer the question. what is the value of x? . a.15 b.25 c.30 d.40 e.55

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. the diameter of the base of the cone is approximately three times the altitude. at what rate is the height of the pile changing when the pile is 12 feet high? (hint: the formula for the volume of a cone is v = 1 3 πr2h.)