Emily and her younger sister Sarah are racing up the stairway of a tall building. Emily can run at a pace of 10 floors per minute and Sarah can run at a pace of 8 floors per minute. Emily will give Sarah a head start by allowing Sarah to start on the 14th floor. Set up an equation that can be solved to find the number of minutes x it will take for them to be at the same floor.

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

Use the graph of the sine function y=2sinθ shown below

Polygon hh is a scaled copy of polygon gg using a scale factor of 1/4. polygon h's area is what fraction of polygon g's area?