To make purple paint, Sofia mixes 1 1/6 cups blue paint and 1/3 cup red paint. How much red paint does Sofia need to make 4 cups of purple paint?

In the coordinate plan (-6,9) b (3,9) c (3,3) def is shown in the coordinate plan below

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?

Solving algebraic equations 2m+3=11