Paul has two label-printing machines. each machine can print 30 labels per minute. on day 1, only the first machine was used, and it printed 90 labels. on the following day, the first machine printed for x minutes and the second machine printed for y minutes. which expression shows the total number of labels printed by both machines during these two days?

Suppose a least-squares regression line is given by modifyingabove y with caret equals 4.302 x minus 3.293. what is the mean value of the response variable if xequals20?

The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.