Suppose we now play a game: flip a fair coin until either tt or th first occurs. you win if tt comes up first, lose if th comes up first. since tt takes 50% longer on average to turn up, your opponent agrees that he has the advantage. so you tell him you’re willing to play if you pay him $5 when he wins, but he merely pays you a 20% premium, that is, $6, when you win. if you do this, you’re sneakily taking advantage of your opponent’s untrained intuition, since you’ve gotten him to agree to unfair odds. what is your expected profit per game?

Aline passes through the point (–7, 5) and has a slope of 1/2 which is another point that the line passes through?

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.

Robert has 78 tomatoes and 56 cucumbers he wants to plant them in equal rows how many in each row