You are baking cupcakes for your class. There are 30 total students in your class and you have baked 15 cupcakes. Write and solve an equation to find the additional number x of cupcakes you need to bake in order to have 3 cupcakes for each student. Write your equation so that the units on each side of the equation are cupcakes per student.

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.)

Drag the tiles to the boxes to form correct pairs. not all tiles will be used with reference to the figure, match the angles and arcs to their measures. *dpa 124 e0b 114° cob spot xoca 122° c e 2019 orentum arts reserved a 6: 52 pm 6/19/2019 40

Simplify the rational expression. state any restrictions on the variable. t^2-4t-12 / t-8 the / is a fraction sign.