The Food-Mart grocery store has a candy machine like the one pictured here. Each time a child inserts a quarter, 7 candies come
out of the machine. The machine holds 15 pounds of candy. Each
pound of candy contains about 180 individual candies.
1.
how many customers will there be before the machine is empty?

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

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?

Suppose i pick a jelly bean at random from a box containing one red and eleven blue ones. i record the color and put the jelly bean back in the box. if i do this three times, what is the probability of getting a blue jelly bean each time? (round your answer to three decimal places.)