The solution of the system can be x - 3y = 4 only if both the equations can be simplified to x - 3y = 4.
This will mean that both the equations will result in the same line which is x - 3y = 4 and thus have infinitely many solutions.
Second equation is:
Qx - 6y = 8
Taking 2 common we get:
(Q/2)x - 3y = 4
Comparing this equation to x- 3y = 4, we can say that
Q/2 = 1
So,
Q = 2
Therefore, the second equation will be:
2x - 6y = 8
The three points give you three equations, which you can solve by your favorite method.
.. 0m +0n +b = 6
.. 1m +0n +b = -3
.. 0m +2n +b = 5
(m, n, b) = (-9, -1/2, 6)
so the equation of the plane can be written as
.. z = -9x -1/2y +6
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In standard form, this would be
.. 18x +y +2z = 12
1. We assume, that the number 3000 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 100% equals 3000, so we can write it down as 100%=3000. </span>
<span>4. We know, that x% equals 600 of the output value, so we can write it down as x%=600. </span>
5. Now we have two simple equations:
1) 100%=3000
2) x%=600
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3000/600
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 600 is what percent of 3000
100%/x%=3000/600
<span>(100/x)*x=(3000/600)*x - </span>we multiply both sides of the equation by x
<span>100=5*x - </span>we divide both sides of the equation by (5) to get x
<span>100/5=x </span>
<span>20=x </span>
<span>x=20
So 600 is 20% of 3000</span>
Answer:
79,213,229 ft3
Step-by-step explanation:
The volume of a pyramid is given by the following formula:
Volume = (1/3) * B * h
Where B is the base area and h is the height.
The side of the base is 754 feet, so the base area is:
B = 754^2 = 568516 ft2
Then, the volume of the pyramid is:
Volume = (1/3) * 568516 * 418 = 79213229.33 ft3
Rounding to the nearest cubic foot, we have:
Volume = 79,213,229 ft3
