Mary has rehearsed her ballet solo for five and a half hours. A week from now,
she wants to have rehearsed at least a total of nineteen and a half hours. If she
rehearses for the same amount of time each day for the next 7 days, at least
how many hours must she rehearse per day?
hours

Do 12/14 and 8/10 have the same value? explain your answer.

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

What is the measure of the smallest angle in the diagram? 15 29 32 45