Question

A large emerald with a mass of 982.7 grams was recently discovered in a mine. If the density of the emerald is 2.26 grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary and only enter numerical values, which can include a decimal point. (6 points)

Answer 1

please help!!!!

Answer 2

Density = mass / volume

mass is 982.7
density = 2.26 g/cm^3 = 2.26 g/mL

so plug it in

2.26 = 982.7 / volume

can you solve for volume?

Answer 3

no

Answer 4

\( 2.26 = \dfrac{982.7}{v}\)

We want to get the `v` for volume all by itself

what happens if you multiply `v` on both sides?

Answer 5

but whats V?

Answer 6

v is volume

Answer 7

no but like what number?

Answer 8

that's what you're solving for...

Answer 9

so how do I multiply?

Answer 10

or what do I multiply

Answer 11

multiply the variable on both sides and so then you'll get rid of the 'v' on the right side

and you'll be left with

\( 2.26 \times v= \dfrac{982.7}{\cancel{v}} \times \cancel{v}\)

Answer 12

i dont understand

Answer 13

okay, instead of 'v' just imagine it's an 'x'

\( 2.26 = \dfrac{982.7}{x}\)

How would you solve for x?

Answer 14

multiply?

Answer 15

and what do you get?

Answer 16

434.8?

Answer 17

That's correct!

Answer 18

thank you!

Answer 19

no problem