You are to fix dinners for 230 people at a convention of mexican food fans. your recipe calls for 3 peppers per serving (one serving per person). however, you have only habanero peppers on hand. the spiciness of peppers is measured in terms of the scoville heat unit (shu). on average, one pepper has a spiciness of 4000 shu and one habanero pepper has a spiciness of 3 shu. to get the desired spiciness, how many habanero peppers should you substitute for the peppers in the recipe for the 230 dinners?

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?