Carter and his friends are setting up a lemonade stand in their neighborhood. their recipe makes 5 cups of lemonade, and calls for 1.5 cups of lemon juice. how many cups of lemon juice are needed to make 2 gallons of lemonade? round your answer to the nearest tenth if necessary. a) 4.8 cups b) 9.6 cups c) 32.8 cups d) 53.3 cups

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?