If $n$ and $k$ are positive integers such that $5<\frac nk<6$, then what is the smallest possible value of $\frac{\mathop{\text{lcm}}[n, k]}{\gcd(n, k)}$

Which equations represents circles that have a diameter of 12 units and a center that lies on the y-axis? check all that apply

Yesterday, george drank 1 small bottle and 2 large bottles, for a total of 1,372 grams. the day before , he drank 1 small bottle and 1 large bottle, for the total of 858 grams. how many grams does each bottle hold?

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle