Mathematics
An art gallery displays a large painting in the center of a wall that is 24 feet (ft) wide. The painting is 10ft wide. Which of the following equations can be used to find the distance, x, in feet, from either end of the wall to the corresponding edge of the painting?
A.|x-10|=12
B.2|x-12|=10
C.2|x-10|=12
D.|x-12|=0
答案：A
解析：
Choice B is correct. The center of the wall is a distance of 1/2(24)=12 feet from the left end of the wall. If x is the distance from a painting edge to its corresponding end of the wall, then |x-12| is the distance from the painting edge to the center of the wall.
If the painting is centered, then 2|x-12| represents the width of the painting.
Since the painting is 10ft wide, we have 2|x-12|=10.
The dimensions of the screen of a certain cell phone are in the ratio 3:2. The screen measures 10.2 centimeters diagonally. What is the approximate length, to the nearest hundredth of a centimeter, of the shortest side of the screen?
A.5.66
B.6.80
C.8.49
D.15.30
答案：A
解析：
Choice A is correct.
Which of the following is equivalent to 4-4a-(5+a)(5-a)?
A.(a-7)(-a+3)
B.(-a+7)(a+3)
C.(a-7)(a+3)
D.(-a+7)(-a+3)
答案：C
解析：
Choice C is correct. First follow the order of operations to get the following.
4-4a-(5+a)(5-a)=-21-4a+a^2
Since the answer choices do not match this, look for more factors.
The factors of -21 that add to -4 are -7 and 3.
Therefore, the answer is (a-7)(a+3).
A social networking site started with a small number of users which increased by 10% per month. When the number of users reached 95 thousand, the site had saturated its market and began losing users at a rate of 1000 per month. How many more users would there have been 3 months after the site saturated its market if the number of users had continued to grow by 10% per month compared to the number of users decreasing by 1000 users per month?
A.22700
B.28400
C.31500
D.34400
答案：D
解析：
Choice D is correct.
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