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Questions in mathematics

[Done] *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) = $2 \operatorname{cups}(\operatorname{cups})$ \\ \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} $\square$ pounds per liter

[Done] Write 0.46 as a fraction.

[Done] Select the correct answer. Which of the following is equal to the expression below? $(8 \cdot 320)^{\frac{1}{3}}$ A. $8 \sqrt[3]{5}$ B. 40 C. $10 \sqrt[3]{5}$ D. 30

[Done] For exercises 3 and 4, determine which of the lengths can form a triangle. 3. [tex]$2 ft , 4 ft , 6 ft , 8 ft$[/tex] 4. [tex]$100 cm, 140 cm, 180 cm, 400 cm$[/tex]

[Done] Board footage (bf) is calculated by multiplying the thickness in inches (T) by the width in inches $(W)$ by the actual length in feet $(L)$ and dividing by 12. The formula is $T \times W \times L \div 12=$ Board ft. How many board feet (bf) are in $8, 2 \times 4$'s, $12'$ long?

[Done] 1.7 meters to millimeters

[Done] Subtract: [tex]$\left(12 b^2+10 v\right)-\left(9 b^2+9 v\right)$[/tex] Your answer should be in simplest terms.

[Done] Write 2 equivalent ratios for the ratio below: 9 to 12

[Done] Study the steps used to solve the equation. Given: [tex]\frac{c}{2}-5=7[/tex] Step 1: [tex]\frac{c}{2}-5+5=7+5[/tex] Step 2: [tex]\frac{c}{2}+0=12[/tex] Step 3: [tex]\frac{c}{2}=12[/tex] Step 4: 2[tex]\left(\frac{c}{2}\right)=12(2)[/tex] Step 5: [tex]c=24[/tex] Choose the property that justifies each step of the solution. Step 1: [ ] Step 2: [ ] Step 3: [ ] Step 4: [ ]

[Done] An amusement park is designing a new flag for its entrance. The new flag is in the shape of a parallelogram with a base of $8 \frac{3}{4}$ feet and a height of $5 \frac{1}{2}$ feet. What is the area of the new flag? A. $14 \frac{1}{4}$ square feet B. $24 \frac{1}{4}$ square feet C. $28 \frac{1}{2}$ square feet D. $48 \frac{1}{8}$ square feet