Suppose that the available coins are in the denominations that are powers of cc, i. e., the denominations are c^0, c^1, \ldots, c^kc 0 ,c 1 ,…,c k for some integers c > 1c>1 and k \ge 1k≥1. Show that the greedy algorithm always yields an optimal solution.

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Write the expression in complete factored form. 5n_(c - 3) - n(c - 3) =

The length of a rectangular piece of land is 92 yards more than three times its width. the perimeter is 760 yards. find its dimensions.