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Snezhnost [94]
2 years ago
14

A large emerald with a mass of 982.7 grams was recently discovered in a mine. If the density of the emerald is 2.76 grams over c

entimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point.
Mathematics
2 answers:
sladkih [1.3K]2 years ago
5 0

Answer:

356.05

Step-by-step explanation:

i took the test and got it right

abruzzese [7]2 years ago
3 0

Answer:

356.05 cm³

Step-by-step explanation:

We are looking for the volume. The formula is density = mass / volume.

If we plug in our numbers, our formula would be 2.76 = 982.7 / V.

Multiply both sides by V and your formula would be (V) 2.76 = 982.7.

Divide both sides by 2.76 and you would get V = 356.05.

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3 years ago
What does x equal to? “?” = x Solve by using fractions and round to the nearest hundredth if necessary
Anna007 [38]

Answer:

3.5 inches

Step-by-step explanation:

We can rotate the figure to the left 90 degrees clockwise so that it becomes same orientation as the figure to the right.

Since they are similar figures, their corresponding sides are proportional.

The 4 inch side of left figure corresponds to 16 in side of right side figure.

The "?" inch side of left figure corresponds to 14 in side of right side figure.

We can replace "?" with "x" and setup two ratios and equate them:

\frac{4}{16}=\frac{x}{14}

Now, we can cross multiply and solve for x:

\frac{4}{16}=\frac{x}{14}\\16x=4*14\\16x=56\\x=\frac{56}{16}\\x=3.5

Hence,

the unknown side marked "?" is equal to 3.5 inches

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