Raphael wants to purchase a new computer and go to the Caribbean for spring break. The computer is priced at $1,299, and the vacation is priced at $750. He has only $1,537 in his checking account, so he cannot afford to purchase both. After much thought, Raphael buys the computer and writes a check for $1,299.

Gretchen is setting up for a banquet. she has 300 chairs and needs to distribute them evenly among t tables. how many chairs should she put at each table? write your answer as an expression.

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

If y varies directly as x2 and y=6 when x=6, find the constant of variation.