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Questions in mathematics

[Free] The tax rate as a percent, [tex]$r$[/tex], charged on an item can be determined using the formula [tex]$\frac{c}{p}-1=r$[/tex], where [tex]$c$[/tex] is the final cost of the item and [tex]$p$[/tex] is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: [tex]$c=p(1+r)$[/tex]. What is the final cost of a [tex]$40$[/tex] item after an [tex]$8 \%$[/tex] tax is applied?

[Free] Write 2 equivalent ratios for the ratio below: 22:33

[Free] Charles wants to analyze his last 9 math test scores with a box plot to see how spread apart they are. Construct a box plot to examine the measures of variability. \begin{tabular}{|ccccccccc|} \hline \multicolumn{9}{|c|}{ Charles's Scores } \\ \hline 80 & 84 & 86 & 87 & 90 & 91 & 92 & 94 & 100 \\ \hline \end{tabular} Use the box plot to answer the questions. What is the range of Charles's scores? $\square$ What is the median of Charles's scores? $\square$ What is the IQR of Charles's scores? $\square$

[Free] A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of $8 ft ^2$. Angle ACB measures $30^{\circ}$. What is the volume of the pyramid, to the nearest cubic foot? A. $5 ft ^3$ B. $9 ft ^3$ C. $14 ft ^3$ D. $19 ft ^3$

[Free] The product of two consecutive integers is 72. The equation [tex]$x(x+1)=72$[/tex] represents the situation, where [tex]$x$[/tex] represents the smaller integer. Which equation can be factored and solved for the smaller integer? [tex]$x^2+x-72=0$[/tex] [tex]$x^2+x+72=0$[/tex] [tex]$x^2+2 x-72=0$[/tex] [tex]$x^2+2 x+72=0$[/tex]

[Free] Find the value of $a$ and $YZ$ if $Y$ is between $X$ and $Z$. $XY=7a, YZ=5a, XZ=6a+24$ $a=\square$ $yz=\square$

[Free] The density of a certain material is such that it weighs 2 tons for every 4.5 cubic feet of volume. Express this density in pounds per quart. Round your answer to the nearest tenth. *Note: you must use these exact conversion factors to get this question right. \begin{tabular}{|l|l|} \hline Weight / mass & Volume \\ \hline 1 pound (lb) = 16 ounces (oz) & $1 \operatorname{cup}(\operatorname{cup})=8$ fluid ounces (fl oz) \\ \hline 1 ton (ton) = 2000 pounds (lb) & 1 pint (pt) = 2 cups (cups) \\ \hline 1 gram ( g ) = 1000 milligrams (mg) & 1 quart ( qt ) = 2 pints ( pt ) \\ \hline 1 kilogram (kg) = 1000 grams (g) & 1 gallon (gal) = 4 quarts (qt) \\ \hline 1 ounce (oz) = 28.35 grams (g) & 1 cubic foot $\left( ft ^3\right)=7.481$ gallons $( gal )$ \\ \hline 1 pound (lb) = 0.454 kilograms (kg) & 1 liter ( L ) = 1000 milliliters (mL) \\ \hline & 1 cubic meter $\left( m ^3\right)=1000$ liters ( L ) \\ \hline & 1 gallon $( gal )=3.785$ liters $( L )$ \\ \hline & 1 fluid ounce $( fl oz )=29.574$ milliliters $( mL )$ \\ \hline \end{tabular}

[Free] $650 \overline{)15.60}$

[Free] Suppose a survey of adults and teens (ages 12-17) in a certain country was conducted to determine the number of texts sent in a single day. (a) Construct a relative frequency distribution for adults. (b) Construct a relative frequency distribution for teens. (c) Construct a side-by-side relative frequency bar graph. (d) Compare the texting habits of adults and teens. \begin{tabular}{lcc} \hline Number of Texts & Adults & Teens \\ \hline None & 164 & 16 \\ \hline $1-10$ & 974 & 147 \\ \hline $11-20$ & 257 & 70 \\ \hline $21-50$ & 254 & 122 \\ \hline $51-100$ & 135 & 115 \\ \hline $100+$ & 147 & 139 \\ \hline \end{tabular} Choose the correct answer below. A. Adults are more likely to send few or many texts per day, while teens are more likely to send a moderate number of texts per day. B. Teens are more likely to send few texts per day, while adults are more likely to send many texts per day. C. Adults are more likely to send few texts per day, while teens are more likely to send many texts per day. D. Teens are more likely to send few or many texts per day, while adults are more likely to send a moderate number of texts per day.

[Free] $5^2+\sqrt{\frac{49}{64}}=$