Answer:
12
Step-by-step explanation:
Average of A and B is 6
(A+B) /2 = 6
Multiply each side by 2
A+B = 12
average of X, Y, and Z is 16
(X+Y+Z)/3 = 16
Multiply each side by 3
(X+Y+Z) = 48
To find the average of all of them
(A+B+X+Y+Z)/5
replace A+B with 12 and X+Y+Z with 48
(12+48)/5
60/5 = 12
Answer:
684
Step-by-step explanation:
Using proportions (equivalent ratios), we can find the number of students that make up the 57% out of the total number of people:
Cross-multiply: 100x = (57)(1200) or 100x = 68,400
Divide: 100x/100 = 68,400/100
Solve for x: x = 684 students
Answer:
173
Step-by-step explanation:
9514 1404 393
Answer:
16 miles
Step-by-step explanation:
The problem can be modeled by a right triangle with one angle of 7° and the side opposite being 10,000 ft. The distance needed is the hypotenuse of the triangle, so the relevant trig relation is ...
Sin = Opposite/Hypotenuse
Hypotenuse = Opposite/Sin
air distance = (10,000 ft)/sin(7°) ≈ 82,055 ft
At 5,280 ft per mile, that is ...
(82,055 ft)/(5,280 ft/mi) ≈ 15.54 mi
The plane's air distance to the airport is about 16 miles.
