At the grocery store, stanley bought yogurts which cost $0.45 each. he also bought $42 worth of other groceries. he has a maximum of $48 to spend at the store. solve the inequality 0.45x + 42 ≤ y where x is the amount of yogurts purchased and y is the total available amount to determine the amount of yogurts stanley can buy.

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Use the net as an aid to compute the surface area of the triangular prism. a) 550 m2 b) 614 m2 c) 670 m2 d) 790 m2

Louise measured the perimeter of her rectangular scrapbook to be 154 cm. if the scrapbook is 45 cm wide, how long is the scrapbook?