Find the value of $x$ if $x$ is positive and $x\cdot\lfloor x\rfloor=700$. Express your answer as a decimal.
Sorry for the late response. It is somewhere between 26 and 27, because \(\sqrt700\) is somewhere between 26 and 27. Which means the floor of x is 26. So 26x=700. This turns into x = 700/26. Doing the division gives \(26.9230769231\).