Olivia wants to clean her mansion, so she decides to hire a cleaning company. Company Fabuloso charges an initial hiring fee of $50 plus $30 per hour. Company Clorox charges an initial fee of $70 plus $25 per hour. After how many hours will it cost the same for both companies?

Data are collected to see how many ice-cream cones are sold at a ballpark in a week. day 1 is sunday and day 7 is the following saturday. use the data from the table to create a scatter plot.

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.

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)