At a particular restaurant, each mini hotdog has 100 calories and each chicken wing has 50 calories. A combination meal with chicken wings and mini hotdogs is shown to have 600 total calories and twice as many chicken wings as there are mini hotdogs.

1- 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.2- 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 the first question?