Girls: 81
boys: 75
4x +6 = 156
4x = 150
x = 37.5
2x = 75
girls: 75 + 6
boys: x
Translate it 8units to the right then reflect it over the line y=-3
Why?
- We can see the Quadrilateral is in Quadrant 3.
- If we translate it by 8units right it come to Quadrant 4.
- Now reflect it over line y=-3
- we will get Quadrilateral 2
The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

The sum is
approximately 2.66.
Something to remember is how to multiply terms with same bases, but different exponents:

Essentially, we add the exponents.
Using the information above, we can find our answer:

Our answer is
, or A.
Answer: 20 mph
Explanation:
Speed is a physical quantity which is equal to the ratio between the distance covered (d) and the time taken (t):

In the first part of the problem, the plane flew a distance of d=400 mi in a time of t=2.5 h. The speed of the plane in this case was the difference between the proper speed of the plane, v, and the speed of the wind, w, since the plane flew opposite to the wind. So we can write:
(1)
During the return trip, the plane flew with a speed (v+w), since the wind was on the tail, and it took 2 hours to cover the same distance:
(2)
So we have two equations with two unknown variables. From (1), we get

Substituting into eq.(2)

So, the speed of the wind was 20 mph.