RainbowSquirrel53

sorry, i meant lcm(b,c)

Could you provide an explanation to how you solved this problem?

It is \(\frac{1}{2},\) since 11 has only two divisors, 1 and 11, and 11 is prime while 1 is not.

I'm not sure what this question is asking for.

We can rewrite the system of equations by replacing \(x\) with \(-2\) to get

\(y-6=a\)

\(5y-10=2a\).

Multiplying the first equation by \(2\), we have \(2y-12=2a\).

Subtracting this from the second equation says that \(3y+2=0\), so therefore \(y=-2/3\), and so \(a=-20/3\).

You are missing the case where \(x=-\sqrt{84}\), so the answer would actually be \(\boxed{x=\pm2\sqrt{21}}\).

Since each member must sit next to two members of the other party, the seating arrangement must be alternating between Democrat and Republican.

We have \(5!\) ways to seat the Democrats and \(5!\) ways to seat the Republicans. However, since we can rotate the seatings to match each other, we have to divide by \(5\).

Therefore, there are \(5!5!/4=2880\) different seating arrangements.

Oh, I wasn't logged in? Well I am now. Thanks, but I don't think I'm who you are talking about. I've only posted one other answer as a guest.

\(8\) sides, \(70\)