Peter has hockey cards. he knows that he has less than 100. when he puts the in piles of 3 he has 2 cards left. when in 4 piles he has 1 card left and when in 5 piles he has 3 cards left to the side. how many cards does peter have in total?

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Afootball quarterback has two more chances to throw a touchdown before his team is forced to punt the ball. he misses the receiver on the first throw 25% of the time. when his first throw is incomplete, he misses the receiver on the second throw 15% of the time. what is the probability of not throwing the ball to a receiver on either throw?

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet