Answer:
4:18 pm
Step-by-step explanation:
An airport offers 2 shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave theairport together.
Shuttle A leaves every 6 minutes
Shuttle B leaves every 9 minutes
Solution
To solve for when next both shuttles will leave the airport together, find the least common multiples of 6 minutes and 9 minutes
Shuttle A (every 6 minutes) = 6, 12, 18, 24
Shuttle B (every 9 minutes) = 9, 18, 27, 36
The least common multiples of 6 minutes and 9 minutes is 18 minutes
4:00 pm + 18 minutes
= 4:18 pm
The next time both shuttles will leave theairport together is 4:18 pm of the same day
Answer:
The distance from both of them = 1463.925 ft
Step-by-step explanation:
The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.
The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building
tan 26° = opposite/adjacent
tan 26° = 964/adjacent
adjacent tan 26° = 964
adjacent = 964/tan 26°
adjacent = 964/0.48773258856
adjacent = 1976.49290328 ft
The distance from the second person to the building = 1976.493 ft
Distance of the first person to the building
tan 62° = opposite/adjacent
tan 62° = 964/adjacent
adjacent tan 62° = 964
adjacent = 964/tan 62°
adjacent = 964/1.88072646535
adjacent = 512.567892122
distance from the first person to the building = 512.568 ft
The distance from both of them = 1976.493 ft - 512.568 ft = 1463.925 ft
Answer:
y = -20x + 100
Step-by-step explanation:
As per your requirement For Part B, the solution is
The equation in slope-intercept form to model the relations is below:-
To reach 2 points on the graph the line passes through
lets use p1(0, 100), p2(1, 80)
now we will compute the slope:
= -20
and now use line equation in form point-slope:
y - y1 = m(x - x1)
y - 100 = -20(x - 0)
y = -20x + 100
The tip would be $2.80 because it is 20% of the $14 meal
