John owns a house painting company. An experienced crew can prep 6 rooms and paint 2 rooms in a week. A novice crew can prep 2 rooms and paint 2 rooms in a week. An experienced crew gets paid $1000 per week and a novice crew gets paid $750 per week. To stay on schedule, John needs at least 12 rooms prepped and 8 rooms painted per day. How many weeks should each crew be scheduled to minimize cost? finding the vertices

Abird on top of a 200 ft bridge tower sees a man standing on the lower part of the bridge (which is 50 ft above the ground). the angle of depression from the bird is 26 ̊. how far is the man from the base of the bridge tower? with explanation and pictures .

Three consecutive even numbers have a sum between 84 and 96. a. write an inequality to find the three numbers. let n represent the smallest even number. b. solve the inequality. a. 84 ≤ n + (n + 2) + (n + 4) ≤ 96 b. 78 ≤ n ≤ 90 a. 84 < n + (n + 2) + (n + 4) < 96 b. 26 < n < 30 a. 84 < n + (n + 1) + (n + 2) < 96 b. 27 < n < 31 a. n + (n + 2) + (n + 4) < –84 or n + (n + 2) + (n + 4) > 96 b. n < –30 or n > 31

Line a is parallel to line b, m2=4x+44, and m6=6x+36. find the value of x.