Cassie is making greeting cards, which she will sell by the box at an arts fair. She paid $32 for a booth at the fair, and the materials for each box of cards cost $7. She will sell the cards
for $9 per box of cards. At some point, she will sell enough cards so that her sales cover her
expenditures. How many cards will that take? How much will the sales and expenditures be?
boxes of cards of cards, she will break even, with sales and
If Cassie sells
expenditures of

The surface area of the triangular prism is .

Asunflower was 20 1/2 inches tall. over the next 6 months, it grew to a height of 37 inches tall. what was the average yearly growth rate of the height of the sunflower? ? plz write a proportion to solve i will give you 100 points

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?