A ladybug is walking at random on a hexagon. She starts at vertex $A$. Every minute, she moves to one of the two vertices (chosen at random) adjacent to the one she's currently on. What is the probability that, after $10$ minutes, she is back at $A$?

Saline iv fluid bags cost $64.20 for 24, 1000 ml bags from one supplier. a new supplier sells 500 ml bags for $2 each. the hospital uses about 10,000, 1000 ml bags each month. nurses report that about half of the bags are more than half full when they are discarded. if you are going to use only one supplier, which size bag provides the best deal, and how much will you save each month? compare the cost of the new supplier to the current one.

Plz : denver is about 5,200 feet above sea level. which number line best represents this integer?

Which of the following is the correct solution to the linear inequality shown below? y< 1/2x-4