Without actually carrying out the steps of multiplication, determine whether the product of 15.1 and 0.9 will be larger or
smaller than 15.1. use complete sentences to explain your answer.

Determine the number of girls in a math class with 87 boys if there are 25 girls for every 75 boys

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?

What is the value of x in the equation 1.5x+4-3=4.5(x-2)?