Choice A
$$XY=5k\\$$ $$YZ=9k \\$$ $$\Rightarrow XZ=14k\\$$ $$\Rightarrow \frac{XY}{XZ}=\frac{5k}{9k}=\frac{5}{9}$$
Choice G
$$2x+4\geq -8 \\$$ $$\Rightarrow 2x\geq -8-4 \\$$ $$\Rightarrow x\geq \frac{-8-4}{2}\\$$ $$\Rightarrow x\geq -6$$
Choice B
$$\frac {9+x}{2}=3 \\$$ $$\frac {-11+y}{2}=-7 \\$$ $$\Rightarrow x=-3 ,\ y=-3$$
Choice K
$$median=250 \\$$ $$mean=\frac {200+250+300+150+275}{5}=235 \\$$ $$\Rightarrow median - mean = 250-235=15$$
Choice G
The longer length of the smaller rectangle (S2) = 12-5=7
$$Total\ area = S1+S2=10 \times 5 + 3 \times 7=71$$
Choice A
x+(x+3)+(x+5)=26 => x=6
Choice J
$$t=\frac{480}{4}=120 \ minutes = 2 …
Choice A
v+c+s=42
c=v+11v=s+2
=> c=s+13 …
Choice G
$$BC=\sqrt{AC^2-AB^2}=\sqrt{10^2-8^2}=6\\$$ $$BD=\frac{BC}{2}=3\\$$ $$\Rightarrow AD=\sqrt{BD^2+AB^2}=\sqrt{3^2+8^2}=\sqrt{73}$$
Choice C
$$x=\frac{(-2)+(-1)+(-2)+1+4}{5}=0 \\$$ $$y=\frac{4+1+(-2)+(-1)+(-2)}{5}=0 $$
Choice H
$$10, -5, \frac{5}{2}, -\frac{5}{4}, \frac{5}{8}, …
Choice C
Monday:
The daily amount for …
Choice H
To find the roots of …
Choice D
$$BC=\sqrt{AB^2+AC^2}=13$$
Total distance of the …
Choice G
The number of students NOT …
Choice D
$$\sqrt{x}+3=6 \\$$ $$\Rightarrow \sqrt{x}=3 \\$$ …
Choice H
$$\sin A = \frac{3}{4}=\frac{BC}{AB}=\frac{12}{AB} \\$$ …
Choice A
$$3(\log_2 16)=3(\log_2 2^4)=3(4)=12$$
Choice F
F. is apparently true, because …
Choice B
Total distance travelled in 1 …
Choice G
$$\frac{5 \ seconds}{2.25 \ minutes …
Choice E
$$The\ slope \approx \frac{200\ ft}{50\ …
Choice J
$$10^5(0.5\times10^2+2.5\times10+6)=10^5(50+25+6)=81\times10^5=8.1\times10^6 \\$$ $$\Rightarrow 8\times10^6<8.1\times10^6 …
Choice D
A. { 10, 10, 10, …
Choice K
Diameter of the circle = …
Choice B
a=30-3-3=24 feet
b=40-3-3=34 feet
Therefore, …
Choice F
$$g(f(x))=\frac{1}{4-f(x)}=\frac{1}{4-x^2}$$ Choice F.
Choice C
$$C=2 \pi r=2 \pi \sqrt{2} …
Choice F
The graph of the function …
Choice A
Only Choice A satisfies that …
Choice H
When x become really large, …
Choice B
The probability of drawing a …
Choice K
The expression is undefined whenever …
Choice E
$$\frac{\frac{2}{5}+\frac{8}{7}}{2}=\frac{27}{35}$$
Choice H
$$3^{x^2-x-2}=1=3^0\\$$ $$x^2-x-2=0\\$$ $$(x-2)(x+1)=0\\$$ $$\Rightarrow x=2,-1$$
Choice D
The major radius p is …
Choice J
$$p=\frac{3+1}{10}=\frac{4}{10}$$
Choice B
$$Area \ of \triangle ABC …
Choice J
$$\frac{59\%\times66}{15}\times3=13.2$$ Choice J.
Choice D
Area of shaded portion = …
Choice F
The median will stay the …
Choice A
The ticket cost is $$5\times1+3\times10$$ …
Choice F
$$I. n\downarrow+(n+1)=(n+1)\downarrow$$ $$(1+2+3+...+n)+(n+1)=1+2+3+...+n+(n+1)=(n+1)\downarrow\\$$ Therefore, I. …
Choice E
$$(x-4)(x-4)\times2=72\\$$ $$x=10 \\$$ $$\Rightarrow 10 …
Choice K
Let's start with K. To …