Jessica's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 88 espressos in all, 25% of which were single-shot. How many single-shot espressos did the cafe sell?

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?

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5: 2: 3. chapter reference how much punch can she make if she has only 6 cups of plum juice?

The graph below represents which system of inequalities? a. y< -2x+6 y< (or equal to) x+2 b. y< (or equal to) -2x+6 y c. y< 2/3 x - 2 y> (or equal to) 2x +2 d. none of the above