Mrs. reed cut one pan of lasagna into thirds, one into fourths, one into sixths, and one into eighths. at the end of the dinner, equivalent amounts of lasagna in two pans were left. use the models to show the lasagna that might have been left over. write two pairs of equivalent fractions to represent the models.

Right triangle lmn has vertices l(7, –3), m(7, –8), and n(10, –8). the triangle is translated on the coordinate plane so the coordinates of l’ are (–1, 8). (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)

Nielsen media research wants to estimate the mean amount of time (in minutes) that full- time college students spend watching television each weekday. find the sample size necessary to estimate the mean with a 15-minute margin of error. assume that a 95% confidence level is desired. also assume that the population standard deviation is known to be 112.2 minutes.

For each sentence below, find the value of x that makes each sentence true. (5 ^1/5) ^5 = 25^x x = (8 ^1/3) ^2 = 4^ x x = ^a1