SOLVE THE FOLLOWING WORD PROBLEM. A man travels from Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes
a 1/2 hour longer than he would take if he made the round trip at an average of 45 mph.

What is the distance from Town X to Town Y?

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

Which ordered pair is a solution to the system of linear equations? 2x + 3y= 6 –3x + 5y = 10

Which situation can be modeled by the inequality 5 + 10w ≥ 45? a. you start with $5 and save $10 a week until you have at least $45. b.you start with 5 baseball cards and purchase 10 cards every week until you have at most 45 cards. c.you start with 5 water bottles and purchases cases of 10 water bottles each until you have a total of 45 water bottles. d.you spend $5 plus $10 per week until you have less than $45.