You flip a coin and roll a number cube. what is the probability that you
flip tails and roll a number less than 5?

The sum of two numbers is 12 and their difference is 18 what are the two numbers

Labc is reflected across x = 1 and y = -3. what are the coordinates of the reflection image of a after both reflections?

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?