On a snow day, Hunter created two snowmen in his backyard. Snowman A was built to a height of 35 inches and Snowman B was built to a height of 50
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 4 inches per hour and
Snowman B's height decreased by 7 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine how tall each snowman is when they are the same
height.

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)