### Instruction: If $x$ is a positive multiple of 8 and $x^2>100$, but $x<20$, what is $x$?### Response: I need to find a positive multiple of 8 that satisfies the inequalities $x^2>100$ and $x<20$.
I can start by listing some multiples of 8: 8, 16, 24, 32, ...
I can see that 8 and 16 are less than 20, but 24 and 32 are not.
So I only need to check 8 and 16.
I can plug them into the other inequality: $8^2=64<100$, so 8 does not work.
$16^2=256>100$, so 16 works.
Therefore, the only positive multiple of 8 that satisfies both inequalities is 16.