Geoffrey ate 2/3 of a mini pizza. claire ate 1 3/4 times as much pizza as geoffrey. how many mini pizzas did claire eat? express your answer in simplest form.

Satchi found a used bookstore that sells pre-owned dvds and cds. dvds cost $9 each, and cds cost $7 each. satchi can spend no more than $45.

Find the value of x. give reasons to justify your solutions! h ∈ ig

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.