Amelia and shabana win a sum of money, which they agree to share in the ratio 5: 3. if amelia receives £150/dollars, how much will shabana receive?

Find the slope of a line given the following two points

Which inequality comparing two of the expressions is true when 0.7 < x < 0.9

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?