Afamily budgets 1/2 of its income for housing and 1/3 for food. what fraction of their budget do these expenses cover?

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

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.

Aword processing program requires a 7- digit registration code made up of the digits 1,2,4,5,6,7 and 9 each number has to be used and no number can be used mor than once how many codes are possible