Answer:
[tex]\boxed {\boxed {\sf No, \ the\ densities \ aren't \ equal}}[/tex]
Explanation:
First, let's find the density of the gold bracelet.
Density can be found by dividing the mass by the volume.
[tex]d=\frac{m}{v}[/tex]
The mass of the bracelet is 412 grams and the volume is 22.4 milliliters.
[tex]m=412 \ g\\v= 22.4 \ mL[/tex]
Substitute the values into the formula.
[tex]d=\frac{412 \ g}{22.4 \ mL}[/tex]
Divide.
[tex]d=18.3928571 \ g/mL[/tex]
Let's round to the nearest hundredth.
[tex]d \approx 18.39 \ g/mL[/tex]
The density of the bracelet is about 18.39 grams per milliliter.
Now, let's compare the bracelet's density to pure gold's density.
[tex]bracelet= 18.39 \ g/mL\\pure \ gold=19.3 \ g/mL[/tex]
It's quite clear that the two values are not equal. Therefore, the bracelet cannot be made of pure gold, because it's density doesn't match pure gold's.
