A 3-ply core/sheath yarn consists of a 30/1 (core) yarn, and two 20/1 (sheath) yarns. Analysis of the plied yarn showed that 1 m of the plied yarn has 1.08 m each of the two 20/1 yarns, and 1 m of the core yarn. What is cotton count of the plied yarn? Show calculations.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

The rumpart family is building a new room onto their house. the width of the new room will be 16 feet. the length of the room will be 4% greater than the width. write an expression to find the length of the new room. what will be the area of this new room?

What is the value of x in the equation7x+2y=48 when y=3