Translate the following sentence into an algebraic expression and solve for w. Three more than the product of w and 3 is one third.

The soup shack usually makes tomato soup with 99 tomatoes for every 1212 cups of soup. today, they made 88 cups of soup with 66 tomatoes. how does today's soup compare to the usual recipe?

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?