Find the value of $6+\frac{1}{2+\frac{1}{6+\frac{1}{2 +\frac{1}{6+\cdots$. Your answer will be of the form $a+b\sqrt{c}$ where no factor of $c$ (other than $1$) is a square. Find $a+b+c$.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

Do more republicans (group a) than democrats (group b) favor a bill to make it easier for someone to own a firearm? two hundred republicans and two hundred democrats were asked if they favored a bill that made it easier for someone to own a firearm. how would we write the alternative hypothesis?

Carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?