Kate is allowed to work no more than 20 hours a week. she has already worked 13 hours this week. at most, how many more hours can she work? write an inequality and solve.
a) x + 13 ≤ 20; x ≤ 7
b) x + 13 ≥ 20; x ≥ 7
c) x + 13 < 20; x < 7
d) x + 13 > 20; x > 7

Sarah took the advertising department from her company on a round trip to meet with a potential client. including sarah a total of 11 people took the trip. she was able to purchase coach tickets for $280 and first class tickets for $1280. she used her total budget for airfare for the trip, which was $6080. how many first class tickets did she buy? how many coach tickets did she buy?

Will mark determine whether the conjecture is true or false. give a counterexample for any false conjecture. given: points r, s, and t conjecture: r, s, and t are coplanar. a) false; the points do not have to be in a straight line. b) true c) false; the points to not have to form right angles. d) false; one point may not be between the other two.

The roof of a farm silo is the shape of a hemisphere and is made of sheet tin. if the diameter of the silo is 126.5 feet, how much sheet tin is needed to make the roof? (use π = 3.1416.)