M=2*2*3*5*5 and N=2*2*2*3*3*7 find the largest number that divides exactly M and N please

(note i put the graph in so plz )the graph shows the amount of water that remains in a barrel after it begins to leak. the variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. what is the slope of the line

You are in a room of 22 people (including yourself). each of you has their own deck of 52 cards — assume each deck is well-shuffled, and can be assumed to be fair and independent of each other.1. each you draws the top card of your deck. what is the probability that at least one other person has drawn the same card as you? 2. let x be the number of people who drew a card that was also drawn by at least one other person. for example, if you all drew the same card, x=22, but if you all drew different cards, x=0. what is the expected value of x? 3. consider the same situation as the last question, but this time with 29 people: all 29 of you are in a room with your own decks of cards, and you draw one of them. what is the probability that at least one person draws the ace of spades? 4. let x be the number of the types of card drawn. for example, if everyone draws the same card, x=1, but if everyone draws a different card, x=29. what is the expected value of x?

Need with son's homework i will give 30 ! show work daniel's house is located b miles from his school. the swimming pool is 3 miles farther from his school. his dr. office is 4 miles less than twice the distance from home to daniel's school. a. write an expression that shows the distance from daniel's house to the swimming pool. b. write an expression that shows the distance from daniel's house to his dr's office c. if b=3, is the swimming pool or dr's office closer to daniel's house? how much closer