Katya treated everyone in the theater to a pizza party. She bought 12 pizzas and six 2-liters of soda. The bill was $137.64 (before tax). The night before, Katya had bought one pizza and one 2-liter of soda for her family, and the bill was $11.95 (before tax). How much was each pizza? How much was each 2-liter of soda?

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

Consider a= {x|x is alive} f={x|x is in france} m={x|x is a national monument} w{x|x is a woman}. which statements are true regarding elements of the given sets? check all that apply.