Sounds awesome, good luck with your studies. Ive got another a few more for ya if you have time. (^ means to the power of, just in case you didnt know)
first one..
"If N=(7^P+4)(5^Q)(2^3) is a perfect cube, where P and Q are positive integers, what is the smallest possible value of P+Q?"
This ones multiple choice, the easiest way would be to work backwards, but she wants us to show the work, so an explanation would be great. Possible answers are 5,2,8,6 or 12.
second one..
"What is the number of solutions (x,y) for the equation 3X+Y=100, where X and Y are positive integers?"
The last one is probably simple, I just dont understand what the question is asking for.
"A teacher has more than 25 students in his class. He has more than 2 but less than 10 boys and more than 14 but less than 23 girls in his class. How many different class sizes would satisfy these conditions?"
Thats the question word for word.. I dont understand it. The multiple choice answers are 5,6,7,3,4. It would be great if you could explain as well, id like to learn how to do this.
If you get around to doing them, thanks alot. These weekend assignments are basically random questions to challenge us that have nothing to do with what we are studying, so some of them are confusing.