Suppose you take the integers 1 through 10 and arrange them in a circle. Use a proof by contradiction strategy to show that there must be three integers in consecutive locations around the circle whose sum is at least 18. 1. What statements are you allowed to assume are true

Abaker makes 186 cookies. some are chocolate chip and some are oatmeal raisin, and both kinds are made with and without nuts, as shown in the table above. because they are more popular, the baker made 2/3 of the cookies chocolate chip. if a chocolate chip cookie is chosen at random, what is the probability that it will have nuts? a) 21/93 b) 21/62 c) 41/93 d) 21/41

Which of the following expressions is equal to 2x^2+8

Amanda went into the grocery business starting with five stores. after one year, she opened two more stores. after two years, she opened two more stores than the previous year. if amanda expands her grocery business following the same pattern, which of the following graphs represents the number of stores she will own over time?