Atelephone company charges a fixed monthly rate plus a rate per minute of usage. the company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. an equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). which of the following best describes the steps to draw the graph of y against x?

draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 0.6
draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67
draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67

Nine more than four times a number is the same as one less than twice the number. find the number?

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

Atorch and a battery cost 2.50 altogether. the torch costs 1.50 more than the battery. what fraction of the total price is the torch? give your answer in its simplest form.