At a certain game at a school carnival, people won 42 small prizes and 18 large prizes. For every small prizes won, there were large prizes won.

Pam buys a sleeve of ball bearings for her skateboard. each of the bearings is 1 1/5 inches wide. the sleeve is 9 3/5 inches long. how many ball bearings are in the sleeve? show your work.

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups