Is the following system of equations dependent or independent? 3x + 6y = 12

x + 2y = 4

The system of equations is not independent (i.e. dependent)

Step-by-step explanation:

We see that in the system of equations

3x + 6y = 12  (1)

x + 2y = 4(2)

equation (1) is exactly the same as 3 times of equation (2).

When graphed, both lines will coincide.

Therefore the system of equations is not independent (i.e. dependent)

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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