Liam thinks of a number. he multiplies the number by 5 and then subtracts 60 from the result. his answer equals the number he started with. what was the number liam started with?

Three times the sum of a number and seven is negative thirty-six. what is the number?

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?

If sin(x) = 0 and cos(x) = 1, what is tan(x)?