Joshua buys p pounds of bananas for 40 cents per pound. He pays the clerk with a fifty-dollar bill. The clerk subtracts the total cost of the bananas from the fifty-dollar bill to determine the amount of change to give Joshua. Write an expression to represent this scenario. Then, determine how much change Joshua will receive if he buys three pounds of banana

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.)

Given δjkl : δxyz, find x. a)10 b)12 c)16 d)20

The letters g e o r g i a are placed in a bag . if you picked a card and knew it was a vowel , what is the probability that it is an a ?