Arecipe for fruit punch calls for cranberry juice and sparkling water. the ratio of cups of cranberry juice to cups of sparkling water is 6: 24. according to the recipe, how many cups of cranberry juice are needed for everyone and a half cup of sparkling water? write your answer as a fraction in simplest form. explain how you know.

The interior angles formed by the side of a hexagon have measures of them up to 720° what is the measure of angle a

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

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?