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Usimov [2.4K]
3 years ago
10

If the mass of a material is 49 grams and the volume of the material is 7 cm^3, what would the density of the material be?

Mathematics
1 answer:
inysia [295]3 years ago
4 0
The equation for density is:
density =  \frac{mass}{volume}

To help you remember - my teacher told us to remember "We <span>♡ density," and the heart stands for </span>\frac{m}{v}, or \frac{mass}{volume}. Cheesy, but it works!<span>
</span>
Back to the problem:
We know the mass if 49g and the volume is 7 cm^{3}, so plug these values into the equation for density:
density = \frac{mass}{volume}\\&#10;density = \frac{49\:g}{7\:cm^{3}} \\&#10;density = 7\:g/cm^{3}

Answer: The density is 7 g/cm^{3}
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Answer: Option 'c' is correct.

Step-by-step explanation:

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As we know that

1 quarter = $0.25

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1 penny = $0.01

According to question, we get that

0.10x+0.05\times \dfrac{3x}{2}+0.01\times 3x+0.25(3x-34)=4.87\\\\0.10x+0.075x+0.03x+0.75x-8.5=4.87\\\\\\0.955x=4.87+8.5\\\\0.955x=13.37\\\\x=\dfrac{13.37}{0.955}\\\\x=14

So, the number of pennies is given by

3x=3\times 14=42

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3 years ago
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