Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 8 x (4 x 3) and (8 x 4)x 3

What is the smallest integer n such that n\sqrt{2} is greater than 20

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

Can anyone me with 32,33,36,37,and 40.