Carolines hair is 7 inches long and grows up to 1/5 inch each month. Trinity's hair is 10 inches long and grows about 1/10 inch each month. How many months will it take for Carolines hair to be atleast as long as Trinitys hair? Define the variable.

Pat listed all the numbers that have 15 as a multiple write the numbers in pats list

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?

Find the maximum value of p= 4x + 5y subject to the following constraints :