8.) Peter hired a cleaning company to clean his house. The cleaning company charges a fee of $15.25 to come out to the house plus $17.50 per hour to clean a house. The cleaning company charged a total of $83.50 to clean Peter's house. How
many hours did it take to clean Peter's house?

Awall map has a scale of 128 miles = 6 inches. the distance between springfield and lakeview is 2 feet on the map. what is the actual distance between springfield and lakeview? 384 miles 512 miles 1.13 miles 42.7 miles

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

C. using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event. true of false