our dorm bathroom is tiled using white hexagonal tiles arranged in a honeycomb pattern (see the figure). One weekend, you and your roommates decide to replace all the white tiles with purple and gold tiles in honor of your school colors, with some green tiles thrown in as accents. (One of your roommates is from New Orleans.) You need a total of 7200 tiles. You want three times as many gold tiles as green tiles, and 1200 more purple tiles than twice the number of green tiles. How many tiles of each color do you need?

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset

Factor the polynomial by its greatest common monomial factor.