When the air conditioner in a building is running, the temperature in the building changes at a rate of −1 ∘F every 18 minutes. At this rate, how many hours should it take to cool the building from a temperature of 85.5 ∘F to a temperature of 78 ∘F? Round your answer to the nearest hundredth, if necessary.

The distributive property allows you to say that 3(x − 1) = 3x −

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?