Answer:
$137.82
Step-by-step explanation:
The volume of a hemisphere stone is given by the volume of a half-sphere:
Volume = (2/3) * pi * radius^3
If the diameter is 16 inches, the radius is 16/2 = 8 inches, so the volume is:
Volume = (2/3) * pi * 8^3 = 1072.33 in3
We need a total of 8 stones, so the total volume is:
Total Volume = 8 * 1072.33 = 8578.64 in3
The density of clay is 0.0035 pounds per cubic inch, so the total weight of the 8 stones is:
Weight = Total Volume * density = 8578.63 * 0.0035 = 30.0252 pounds
Finally, if the price of each pound of clay if $4,59, the final price is:
Price = 30.0252 * 4.59 = $137.82
Answer:
My sister and her sister and my mom are so adorable I love her and
Step-by-step explanation: was the name wrong I was talking to him about it haha is that a little
Kidsss was a great night out and this is what I
The answer to your question is 0
Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) <u>5x – 3y + 5z = -8</u> {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
<u>7x – 3y + 3z = 8</u> {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) <u>2x - 2z = 16</u> {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
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Answer:8
Step-by-step explanation: