Choice E
$$1\frac{2}{3}+\frac{3}{4}=1\frac{8}{12}+\frac{9}{12}$$ $$=1\frac{17}{12}$$ $$=2\frac{5}{12}$$
Choice H
$$6:10=x:90$$ $$10x=6\times90=540$$ $$x=54$$
Choice K
“3 times the speed” of …
Choice A
$$-15-2\times3=-15-6=-21$$
Choice J
From 2 hours to 4 hours, her distance traveled does not increase. Therefore, her car must have been stopped.
$$250-100=150$$
Choice B
$$r=\frac{6}{2}=3$$ $$h=1.5$$ $$\pi \approx 3.14$$ $$\pi r^{2}h=3.14\times 3^{2}\times(1.5)=42.39$$
Choice C
Choice G
If “the x-coordinate of point …
Choice C
You must add these parts …
Choice F
$$\frac{4c}{5}-\frac{1}{2}=-\frac{25}{2}$$ $$\frac{4c}{5}=-\frac{25}{2}+\frac{1}{2}$$ $$\frac{4c}{5}=-\frac{24}{2}$$ $$4c\times2=5\times(-24)$$ $$8c=-120$$ …
Choice B
$$\overline{AC}=r+4r=5r$$ $$\overline{AB}:\overline{AC}=r:5r=1:5$$
Choice F
$$y=mx+b$$ $$3y=-8x+5$$ $$y=-\frac{8}{3}x+5$$ $$m=-\frac{8}{3}$$
Choice C
Let r = number of …
Choice H
$$90°\lt\theta\lt180°$$
It is in the …
Choice C
Because the length of the …
Choice G
$$1\times316+2\times271=858$$
Choice E
$$12d:30d:40d=64:24:18$$ $$[64,24,18]=576$$
Choice K
If the board is 1.5 …
Choice A
This equation is
$$(x-h)^{2}+(y-k)^{2}=r^{2}$$where …
Choice H
$$(-mp)(mp^{9})^{4}$$ $$=(-m)(m^{4})(p)(p^{9\times4})$$ $$=(-m^{5})(p{37})$$
Choice A
$$0.578578578...$$
Because the decimal repeats …
Choice K
His probability of drawing a …
Choice E
$$red=green+15,\ green=blue+9$$ $$red=blue+9+15=blue+24$$ $$red+green+blue=72$$ $$\Rightarrow …
Choice H
$$(14+24)10\times\frac{1}{2}$$ $$=38\times10\times\frac{1}{2}$$ $$=380\times\frac{1}{2}$$ $$=190$$ $$190\times$1.75=$332.5$$
Choice A
The slope of OC is …
Choice G
$$Pay\ $2:\ x$$ $$Pay\ $5:\ …
Choice D
$$i=\sqrt{-1},\ i^{2}=-1$$ $$\sqrt{-27}=\sqrt{27}i=3\sqrt{3}i$$ $$\sqrt{-48}=\sqrt{48}i=4\sqrt{3}i$$ $$\sqrt{-48}+\sqrt{-27}$$ …
Choice K
$$tangent=\frac{opposite}{adjacent}$$ $$\tan67°=\frac{x}{7.5}$$ $$x=7.5\tan67°$$
Choice B
In the diagram,
$$a = …
Choice J
This line then forms an …
Choice D
To shift this graph down …
Choice G
$$\frac{60}{2}-5=25$$ $$\frac{100}{2}+10=60$$ $$25^{2}+60^{2}=625+3600=4225$$ $$4225=65^{2}$$
Choice D
$$360°\times\frac{5}{12}=150°$$
Choice J
$$\frac{35+41}{2}=38$$
Choice D
$$2x-a\leq3 \Rightarrow x\leq\frac{3+a}{2}$$ $$2x-a\geq-3 \Rightarrow …
Choice J
The greatest power of 17,23,61 …
Choice E
Based on the diagram, the …
Choice G
$$f(5)=3$$ $$g(f(5))=g(3)=-5$$
Choice C
$$45°:45°:90°$$ $$=1:1:\sqrt{2}$$ $$=x:x:x\sqrt{2}$$ $$30°:60°:90°$$ $$=1:\sqrt{3}:2$$ …
Choice K
$$a+b=5$$ $$ab=6$$ $$a,b=2,3$$ $$\Rightarrow \frac{3}{2}+\frac{2}{3}=\frac{9+4}{6}=\frac{13}{6}$$
Choice A
$$a= 3! + 2! = …
Choice K
To find the maximum value …
Choice C
If the second pyramid has …
Choice G
$$x^{2}=5^{2}+5^{2}-2\cdot5\cdot5\cos\theta$$ $$x^{2}=25+25-50\cos\theta$$ $$50\cos\theta=50-x^{2}$$ $$\cos\theta=\frac{50-x^{2}}{50}$$
Choice D
SAS Triangle Congruence Theorem : …
Choice K
If x + 2 is …