Randy's parents gave him an allowance of d dollars each month. One month, he put half of his allowance in the bank and then bought a book for $8. He had $12 left in his pocket after buying the book. Write an equation to solve for the amount of Randy's monthly allowance. Then, solve it.​

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?

Plz ( true - false) all triangles have interior angles whose measure sum to 90.

What number gives you a irrational number when added to 2/5