Answer: 107,997
Reasoning: All you need to do is add the two passenger numbers for the two busses to get the total number of passengers on them on Saturday.
I hope that helps
Answer:
x = 200
Step-by-step explanation:
Multiply by 4:
x + 120 + 2x = 720
3x = 600 . . . . . . collect terms, subtract 120
x = 200 . . . . . . . divide by 3
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<em>Check</em>
(200/4 +30) +(200/2) = 180
(50 +30) + 100 = 180
80 + 100 = 180 . . . . . true
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<em>Alternate solution</em>
If you like, you can simply work with the equation given.
(3/4)x + 30 = 180 . . . . collect terms
(3/4)x = 150 . . . . . . . . . subtract 30
x = 200 . . . . . . . . . . . . multiply by 4/3
Remark
pi/4 is between 0 and pi/2 which means that pi/4 is in the first quadrant.
5*pi / 4 is between pi and 3/2 pi which means that the angle is in the third quadrant.
So you are talking about one two angles that are in the first and third quadrants.
Step One
Find the Tangent of pi/4 using the unit circle as a reference.
Since pi/4 is 1/2 way between 0 and pi/2 you are referring to something that has and x value of 0.707 for an x value and 0.707 for a y value. (They are equal)
That is the point where the opposite / adjacent = 0.707/0.707 = 1
Step Two
Find the tangent of 5pi/4 using the unit circle.
Using the same argument as pi/4 this time the opposite / adjacent = -0.707/-0.707 = 1 ( the two minus signs cancel out.)
The correct answer is B.
0.5(4x + 12)
2x + 6
