It's getting cold outside! The temperature dropped steadily at a rate of about 4 degrees every hour. If
the temperature dropped a total of 22 degrees,
how many hours have passed? Let h represent the
number of hours

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

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?