There are 4 mathematicians-Ms. Shively, Ms. Vargas, Mrs. Strong, and Ms, Becker-having lunch in the teacher lunchroom. Suddenly, Ms. Shively thinks of two integer numbers greater than 1 and says. “The sum of the numbers is…” and she whispers the sum to Ms. Vargas. Then she says. “ the product of the numbers is...and she whispers the product to Mrs. Strong. After that, the following conversation takes place: Ms. Vargas: Mrs. Strong, I don’t think that we know the numbers.
Mrs. Strong: Aha! Now I know the numbers
Ms. Vargas: Oh, now I also know the numbers
Ms. Becker: Now I also know the numbers

How did they know the numbers?

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.

hit or miss i guess they never miss huh

step-by-step explanation:

you got a boyfriend i bet he doesnt kiss ya

step-by-step explanation:

because it just is

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.