Write an equation from the given statement and solve. 1). The sum of six times a number and 9 is 31.
2). The quotient of a number and 5 decreased by 14 is 23.
3). 32 more than the product of 8 and a number equals 72.
4). 18 less than a number times 6 is 36.
5). A number divided by 3 and added to 15 is 40.

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?