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The density of a certain material is such that it weighs 32 grams for every 5 cups of volume. Express this density in pounds per liter. Round your answer to the nearest hundredth.
*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 cup (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 ( Ib ) $=0.454$ 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
\end{tabular}
Answer (3)
First you have to add and subtract everything on both sides that have common terms. 33 + 15 w = 3 w − w + 4 w then becomes 33 + 15 w = 6 w Then you subtract 15w from each side and get 33 = − 9 w Divide each side by -9 and get 9 − 33 = x which we can simplify by 3 3 − 11 = x
33+15w=3w-w+4w
33+15w=2w+4w
33+15w=6w
33= -15w+6w
33= -9w
same as 9w = -33
w= -33/9
W= 3 6/9
W= 3 2/3
To solve the equation 33 + 15 w = 3 w − w + 4 w , we simplify it to 33 + 15 w = 6 w . By isolating w , we find that w = − 3 11 .
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