Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other forms a square of side x. Choose x to maximize the sum of their areas.

Arunning track in the shape of an oval is shown. the ends of the track form semicircles. a running track is shown. the left and right edges of the track are identical curves. the top and bottom edges of the track are straight lines. the track has width 56 m and length of one straight edge 130 m. what is the perimeter of the inside of the track? (π = 3.14) 260.00 m 347.92 m 372.00 m 435.84 m

Chamberlin wants to bottle 1\8 of her apple cider. she pours the apple cider evenly among 6 bottles. what fraction of her apple cider will she put in each bottle? what expression could represent this situation?

How much dextrose 70% must be mixed with dextrose 5% to prepare 1,000 ml of dextrose 20%?