As part of her role on the planning committee for the high school prom, Keisha hired a DJ. The DJ charges $150 per hour for performing plus a $100 flat fee for setup and
takedown. The committee budgeted $1000 for a DJ for the prom. Which of the
following represents the number of performing hours, x, for which the DJ could be
hired to stay within the committee budget.

A) x is less than or equal to 6

B) x is greater than or equal to 6

C)x is less than or equal to 7

D) x is greater than or equal to 7

What dimensions can créate more than one triangle ?

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.)

Find measure angle 1 and measure angle 3 in the kite the diagram is not drawn on the scale