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# ACT Form 72E Math Answer Explanations

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Explain to me:

$$\frac{x}{72}=\frac{1\frac{3}{4}}{24} \\ \Rightarrow x=5\frac{1}{4}$$

Choice D.

$$\frac{57+61+57+57+58+57}{6}=57.8$$

Choice H.

$$120=1.8K-459.67 \\ \Rightarrow K\approx 322$$

Choice A.

$$-\frac{18}{3}x^{3-1}y^{2-1}=-6x^2y$$

Choice F.

$$\sqrt{a}=9 \Rightarrow a=81$$

Choice C.

$$\frac{80\times15\%}{5}=2.4$$

Choice G.

$$0.000000000087=8.73\times 10^{-11}$$

Choice B.

$$\frac{360}{6}=60$$

Choice J.

$$\frac{4+45}{9}=\frac{49}{9}$$

Choice E.

$$\begin{bmatrix}2\times1+3\times2 & 2\times2+3\times1 \\2\times3-3\times1 & 2\times4-3\times2 \end{bmatrix}=\begin{bmatrix}8 & 7 \\3 & 2 \end{bmatrix}$$

Choice G.

The speed of one motorcycle exceeds 4 times the speed of another motor cycle by 24 mph:

4g+24

Choice D.

$$Area=\frac{12\times8}{2}=48$$

Choice J.ow. What is the area, in square feet, of the carpet?

Only the equation in C fulfils all data sets in the table.

Choice C.

nd intervals from t = 0 seconds to t = 5 seconds.

$$Driving \ time = \frac{1200}{50}=24 \\ Unloading \ time = 12 \\ \Rightarrow Total \ time=24+12+30=66=24+24+18$$

Choice H.

$$x+5y=3 \Rightarrow x=-5y+3$$

Choice C.

Thus the other side is also 16; the remaining 2 sides are:

$$\frac{80-16-16}{2}=24$$

Choice H.

$$6l+4s=26 \\ 2l+4x=14 \\ \Rightarrow l=3$$

Choice D.

$$2\times6\times5=60$$

Choice K.

$$26+2\times5+1.5\times \frac{12}{3}=42$$

Choice C.

180-34=146

Choice K.

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if any, is log(x+3)(x^2+ 3) = 2