A rock sample has a mass of 16 grams and a volume of 8 cubic centimeters. 'When the rock is cut in half, what is the volume and density of each piece?

Volume= 4 cm³

Density= 2 g/cm³

Step-by-step explanation:

We have the following data:

volume= V= 8 cm³

mass= m= 16 g

The density is the mass per volume of a substance, so the density of the rock is:

density= d= 16 g/8 cm³= 2 g/cm³

When we cut the rock in half, we have a half volume and a half mass:

V= 8 cm³/2= 4 cm³

m= 16 g/2= 8 g

But the density is not altered because it is an intrisic property - it does not change with the amount of subtance. Thus, the density of a half rock is:

d = m/V= 8 g/4 cm³= 2 g/cm³

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3