For this case we have that by definition, the density is given by:

Where:
M: It is the mass of the diamond
V: It is the volume of the diamond
According to the data of the statement we have:

So the volume is:

Thus, the volume of the diamond is approximately 
Answer:

Since a cube has 6 sides, we can divide 294 by 6, so we have the area of one side. Since it is a cube, we can just square root that, and you get 7 cm.
So you can do 1/2 and then divide it by 1/8.
To divide by a fraction, multiply by its reciprocal.
So;
1/2 / 1/8 = 1/2•8/1
1/2• 8 = 8/2
8/2= 4
So he can fill 4 mugs!!!
Brainliest if i helped!
We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:
2(5y – 2) = 12 + 6y
In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:
a(b + c) = ab + ac
a(b – c) = ab – ac
In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:
2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4
In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.
The student first made an error in Step 2, and the correct step is:
Step 2: 10y – 4 = 12 + 6y
I hope this helps!
Answer:
i think thats gonna be (1,6)
Step-by-step explanation: