Aliyah had some candy to give to her four children. she first took ten pieces for herself and then evenly divided the rest among her children. each child received two pieces. with how many pieces did she start? solve for x and write an algebraic equation

Ineed with this math problem p(65)=500×1.0325*65 the star means that you have to times it like 1.0325×1.0325?

The total number of dental clinics total for the last 12 months was recorded

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.)