What does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number? Please help

9514 1404 393

  x must be rational

Step-by-step explanation:

Assuming a, b, m, n are integers (with b, n not zero), the closure properties of the set of integers tell you that any product or sum of integers is also an integer. That means the difference of products bm-an is an integer, as is the product bn.

Then the value of x is a ratio of integers, so is rational.

The conclusion you can draw is that x must be rational if its sum with a rational number is also rational.

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart