Jill counted 20 pigs and chickens. jack counted a total of 54 legs for the 20 animals. how many pigs and how many chickens were there?

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.

The letters g e o r g i a are placed in a bag . if you picked a card and knew it was a vowel , what is the probability that it is an a ?

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. which method should jeremy use?