Line segment PR is a directed line segment beginning at A-10,7) and ending at R8,-5). Find point Q on the line segment PR that partitions it into the segments PQ and QR in the ratio 4:5.

Ateacher noticed 5/8 of the students were wearing either blue shorts or white shorts. write two different ways this could be done.

At 6 1/2 cents per pound of string beans how much does 7 pounds cost

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.)