A theater group made appearances in two cities. The hotel charge before tax in the second city was 1000 lower than in the first. The tax in the first city was , 10% and the tax in the second city was 8%. The total hotel tax paid for the two cities was 550. How much was the hotel charge in each city before tax?

Timmy uses 1 1 2 cups of sugar for every 2 gallons of lemonade he makes. how many cups of sugar would timmy use if he makes 13 gallons of lemonade?

Find the maximum value of p= 4x + 5y subject to the following constraints :

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.