James and lucas competed in climbing a mountain and coming back. james climbed at an average rate of 3 mph and ran back at 4 mph. lucas climbed at an average rate of 2 mph and ran back at 5 mph. if the path from the bottom to the top of the mountain was 2 miles, how much time did each take to finish and who was faster?

Select the correct answer from the drop-down menu. this graph represents the inequality x+2< 4,2x> 3,x+6< 12,2x> 12

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?