Choice F
30 pens still remain, enough for 6 packages;
20 notebooks still remain, enough for 10 packages;
24 envelopes still remain, enough for 8 packages;
84 cookies still remain, enough for 7 packages;
45 candy bars still remain, enough for 9 packages;
Apparently, pens are the bottleneck.
Choice B
$$(0.1x^2+3x+80) +(0.5x^2-2x+60)=(0.1x^2+0.5x^2)+(3x-2x)+(80+60)=0.6x^2+x+140$$
Choice D
$$\frac{AC}{AB}=\frac{AE}{AD} \\$$ $$ \Rightarrow \frac{AC}{6+5+4}=\frac{12}{6} \\$$ $$ \Rightarrow AC=30$$
Choice A
$$35\times(10+x)=42\times10 \\$$ $$ \Rightarrow 10+x=12 \\ $$ $$\Rightarrow x=2$$
Choice H
The range of y = sin (x-π) is : $$-1\leq y \leq 1$$ The range of y = -5sin (x-π) is : $$-5\leq y \leq 5$$ The range of y = 3-5sin (x-π) is : $$-2\leq y \leq 8$$
Choice D
$$g(-3)=(-3)^2-4=5 \\$$ $$ \Rightarrow f(g(-3))=f(5)=2\times5+1=11$$
Choice G
$$3f+4c=$25 \\$$ $$f+2c=$11 \\$$ $$\Rightarrow …
Choice C
$$71,\ 77,\ 78,\ 80,\ \underline{86, …
Choice H
Let the length of the …
Choice E
$$AB\times AD=1 \\$$ $$ \Rightarrow …
Choice G
$$\frac{16+x}{16+x+7+19}=\frac{3}{5} \\$$ $$ \Rightarrow x= …
Choice E
$$a^{-2}=(a^{2})^{-1}=\frac{1}{a^2}$$
Choice F
If Jamie's claim is true, …
Choice D
$$Area = 3 \times 5 …
Choice H
$$BD=\sqrt{3^2+4^2}=5$$
Choice A
The slope of a horizontal …
Choice J
When A is reflected over …
Choice A
$$8^2\cdot 4^{0.5}=(2^3)^2\cdot (2^2)^{0.5}=2^6\cdot 2=2^7$$
Choice K
$$Number \ of \ applicants …
Choice B
$$\log_{2}{\sqrt{8}}=\log_{2}{\sqrt{2^3}}=\log_{2}{2^{\frac{3}{2}}}=\frac{3}{2}$$
Choice F
$$\frac{\frac{90-15}{3}}{90}\times 360°=100°$$
Choice E
$$\frac{4}{5}+\frac{7}{x}= \frac{4x}{5x}+\frac{7\times5}{5x}=\frac{4x+35}{5x}$$
Choice K
$$\frac{353}{85+353+47}=\frac{353}{485}$$
Choice D
$$\frac{14+10+85+353}{560}\approx 0.83$$
Choice H
Of the 15 incorrectly classified …
Choice A
To simplify matters, let’s make …
Choice G
sin(-x°) = -sin x°
Choice D
Volume of box = 8 …
Choice G
Since ΔBCD is a right …
Choice D
200 days ago is equivalent …
Choice G
∠1 = ∠2
→3x - …
Choice E
The best way to solve …
Choice H
The Scalene Triangle has no …
Choice D
A sportswriter estimates the team …
Choice J
The denominator of f(x) = …
Choice E
555_ _ _ _
Each …
Choice F
The circle represents all dots …
Choice B
The question asks what x …
Choice F
The slope represents the copying …
Choice E
Let r be revenue, n …
Choice K
The quickest way would be …
Choice A
To make one banner, ¼ …
Choice F
What you need to know: …
Choice D
According to the graph, the …
Choice K
Requirements for Matrix Multiplication:
In …