Two hundred and twenty-three students were asked if their favorite summer vacation destination was in North Carolina, Georgia, or South Carolina. Of these students, 121 were girls, 75 students chose South Carolina, and 55 chose Georgia. Of the boys, 59 chose North Carolina while 25 of the boys chose Georgia.

Aculture started with 4,000 bacteria. after 5 hours, it grew to 5,200 bacteria. predict how many bacteria will be present after 19 hours. round your answer to the nearest whole number.

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.

In an isosceles triangle, the vertex angle is 112 degrees. what is the measure of each base. a.34 b.24 c.44 d.54