8. if a and b are non-empty sets we define their cartesian product a x b as follows: a, b) a e a and b e b that is, ax b is the set of all ordered pairs with elements of a in the first slot and elements of b in the second slot produce a function f : n x n n which is injective.

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

Aprofessional hockey team has noticed that, over the past several seasons, as the number of wins increases, the total number of hot dogs sold at the concession stands increases. the hockey team concludes that winning makes people crave hot dogs. what is wrong with the hockey team's conclusion? a) it does not take into account the attendance during each season. b) it does not take into account the number of hamburgers sold during each season. c) it does not take into account the number of concession stands in the hockey arena. d) it does not take into account the number of seasons the hockey team has been in existence.

21 a stick 7 inches long is broken into two pieces, so that one piece is twice as long as the other one. how long are the two pieces?