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Chapter 3: Problem 16
A rectangular box has sides 3,4 , and \(x\) and a volume of 18 . What is the value of \(x\) ?
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The scatterplot above shows the weight, in ounces, of the fruits on a certain truffula tree from days 55 to 85 after flowering. According to the line of best fit in the scatterplot above, which of the following is the closest approximation of the number of days after flowering of a truffula fruit that weighs \(5.75\) ounces? A) 63 B) 65 C) 77 D) 81
Which of the following is equivalent to \(\left(12 x^2+4 x+5 y\right)+\left(3 x^2-2 x+\right.\) \(3 y) ?\) A) \(2 x^2-2 x+8 y\) B) \(2 x^2+15 x+8 y\) C) \(15 x^2-2 x+8 y\) D) \(15 x^2+2 x+8 y\)
A dental hygiene company is creating a new 24 -ounce tube of toothpaste by combining its most popular toothpastes, Cavity Crusher and Bad Breath Obliterator. Cavity Crusher contains \(0.25 \%\) of sodium fluoride as its active ingredient, and Bad Breath Obliterator contains \(0.30 \%\) of triclosan as its active ingredient for a total of \(0.069\) ounces of active ingredients in both toothpastes. Solving which of the following systems of equations yields the number of ounces of Cavity Crusher, \(c\), and the number of ounces of Bad Breath Obliterator, \(b\), that are in the new toothpaste? A) $$ \begin{aligned} c+b & =0.069 \\ 0.25 c+0.3 b & =24 \end{aligned} $$ $$ \begin{aligned} c+b & =24 \\ 0.0025 c+0.003 b & =0.069 \end{aligned} $$ B) C) D) $$ \begin{aligned} c+b & =24 \\ 0.025 c+0.03 b & =0.069 \\ c+b & =24 \\ 0.25 c+0.3 b & =0.069 \\ \frac{2 d^2-d-10}{d^2+7 d+10} & =\frac{d^2-4 d+3}{d^2+2 d-15} \end{aligned} $$
Syed took out a cash advance of \(d\) dollars from a financing company. The company deducts a fee of \(\frac{1}{3}\) of the original advanced amount along with a wire transfer fee of $$\$ 30.00$$. Which of the following represents the final advanced amount that Syed receives after all applied fees, in dollars? A) $$\frac{1}{3} d-30$$ B) $$\frac{1}{3}(d-30)$$ C) $$\frac{2}{3}(d-30)$$ D) $$\frac{2}{3} d-30$$
If \(x^2+12 x=64\) and \(x>0\), what is the value of \(x\) ? A) 2 B) 4 C) 8 D) 16
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