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Questions in mathematics

[Done] Evaluate: $|-91| = \square$

[Done] 7. $5 \underline{x}-4=21$ 8. $42=6+9 x$ 9. $8-2 x=10$ 10. $22=3 x-5$ 11. $\overrightarrow{5}=5 x-20$ 12. $5 x-3=28$

[Done] Substitute the given values into the formula, and [tex]A=\frac{1}{2} h(B+b)[/tex] ; A=56, B=4, b=3

[Done] 8) $45 x^2+120 x+80$

[Done] The chart shows pricing and payment options for two big-ticket items. [tex] \begin{table} \captionsetup{labelformat=empty} \caption{Financing Options for Household Items} \begin{tabular}{|l|l|l|l|} \hline Item & Rent-to-own payments & Installment plan & Cash price \\ \hline Laptop computer & $150 a month for 12 months & $100.83 a month for 12 months & $1,000 \\ \hline 18.3 CF refrigerator & $140 a month for 12 months & $80.67 a month for 12 months & $800 \\ \hline \end{tabular} \end{table} [/tex] Which payment option would be best for the laptop and for the refrigerator? A. rent-to-own; installment B. installment; rent-to-own C. rent-to-own; rent-to-own D. save up and pay cash

[Done] $3 x^2 - (9x - 8x^2) + 4x - 4

[Done] Keyaree is able to swim [tex]$3 \frac{2}{5}$[/tex] laps every 4 minutes. Assuming that Reyaree swims at a constant rate, how many laps (or fractions of a lap) does she swim per minute?

[Done] Which fraction represents the decimal $0.8888 \ldots$ ? A. $\frac{80}{99}$ B. $\frac{1,111}{1,250}$ C. $\frac{8}{9}$ D. $\frac{9}{8}$

[Done] The distance it takes a truck to stop can be modeled by the function [tex]d(v)=\frac{2.15 v^2}{64.4 f}[/tex] [tex]d=[/tex] stopping distance in feet [tex]v=[/tex] initial velocity in miles per hour [tex]f=[/tex] a constant related to friction When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft. Determine the value of [tex]f[/tex], rounded to the nearest hundredth.

[Done] Conversion Practice To convert to a smaller unit, move decimal point to the right or multiply \begin{tabular}{|c|c|c|c|} \hline \begin{tabular}{c} Kilo- (k) \\ 1000 \\ units \end{tabular} & \begin{tabular}{c} Hecro- (h) \\ 100 \\ units \end{tabular} & \begin{tabular}{c} Deka- (D) \\ 10 \\ units \end{tabular} & \begin{tabular}{c} Basic \\ Unit \end{tabular} \\ \hline \begin{tabular}{c} To convert to a larger unit, move \\ decimal point to the left or divide \end{tabular} & \begin{tabular}{c} Gram (g) \\ Meter (m) \\ Liter (L) \end{tabular} \\ \hline \end{tabular} Try these conversions using the ladder method. [tex]$\begin{array}{l} 1000 mg=\frac{1.0}{160} g \\ 160 cm=\frac{169}{109 g}=\frac{1.109}{1.2467} Dm \\ 2467 cm=\frac{0.25}{4.5} cm \\ 45 hm= \end{array}$[/tex] [tex]$\begin{array}{l} 1 L=1,000 \\ 14 km={ }^{250 m} \\ 250 m \\ 1,456,980 mg={ }^{m} kg \\ 5 L=5,0000 kL \end{array}$[/tex] [tex]$\begin{array}{l} 35.465 g={ }^{mg} \\ 3.4 L=\frac{0.34}{1 Dm=} \frac{dL}{m} \\ 35.25 dL={ }_{1.050}^{cm} \\ 1000 km= \end{array}$[/tex]