Jerry is trying to earn two hundred nine dollars for some new video games. if he charges forty-seven dollars to mow a lawn, how many lawns will he need to mow to earn the money?

Astudent simplified a rational expression as shown.

The sum of two numbers is 86, and their difference is 20. find the two numbers

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?