Question

Who would like to answer a hard question for me?

Answer 1

depends on the question

Answer 2

:)

Answer 3

The sum of two consecutive integers is -298. What are the integers?

Answer 4

We have that:
\[
n+(n+1)=-298
\]This means that:
\[
2n+1=-298\implies\\
2n=-299
\]But since, \(n\not \in \mathbb{Z}\), there is no solution.

Answer 5

(Either way, an odd integer and an even integer (which ARE consecutive) always add up to an odd integer, so there will never be an answer to this kind of problem)

Answer 6

Thanks! Wanna help with another??? It's really hard though

Answer 7

Sure. And don't ever say a question is really hard, because it's pretty guaranteed that at least one person here can solve it. (Unless it's a Millennium problem, but, even then... wouldn't surprise me)

Answer 8

Juan drives to work. Because of traffic conditions, he averages about 22 miles per hour. He returns home averaging 32 miles per hour. The total travel time is 2.25 hours. Find the time It takes Juan to drive to work.

Answer 9

We have that, for some distance \(d\):
\[
\frac{d}{22}+\frac{d}{32}=2.25\implies\\
32d+22d=54d=1584\implies\\
d=\frac{88}{3}
\]Now, we use that \(\frac{d}{s}=t\) to find that:
\[
\frac{\frac{88}{3}}{22}=\frac{4}{3}
\]So, his time to travel to work is:
\[
t=\frac{4}{3}=1.\bar{3}\;\text{hours}
\]