Answer:
Step-by-step explanation:
the system of equations is:
First, we multiply the second equation by -9:
and now we add this to the first original equation:
we have eliminated the y variable, so we can solve for x:
with this value of x, we substitute it on the second of the original set of equations to find the value of y:
the answer as an ordered pair is:
Answer:
n=S+360÷180
Step-by-step explanation:
S=(n-2) 180
S= 180n-180*2
S=180n-360
180n-360=S
180n =S+360
180n÷180=S+360÷180
n=S+360÷180
Answer:
A 12-kg load stretches an elastic the belt 0.03m
Step-by-step explanation:
we know A 8-kg load stretches an elastic belt 0.02 m.
=> 0.02 / 8 = 0.0025
so A 1-kg load can stretch an elastic belt 0.02 m.
=> 12 * 0.0025 = 0.03 m
A 12-kg load stretches an elastic the belt 0.03m
Answer:
30 distinct colorings
Step-by-step explanation:
First, we need to calculate the total number of orientations that any unique cube can have. To do this, we fix the top face. As any face can occupy the place of the top face, there are 6 possible options for top face. Now, we fix the front face. Any face of the 4 faces of the side of the cube can occupy that place. This would give us a total 0f 6*4 = 24 possibles orientations that any particular cube can have.
Now, we need to calculate the amount of ways to paint the cube that we have. We paint one of the faces, to do this we have 6 possible colors to choose. Now, to paint any other face, we have 5 colors, then 4 colors, and so on. The total number of ways will be 6*5*4*3*2*1 = 6! = 720.
Finnally, as we have established that any unique cube will have 24 possible orientations, the amount of possible unique cubes multiplied by the 24 possibles orientations should give us the total number of ways to paint the cube:
24* n = 720
Said in another way, if we divide 720 by 24, we should get the possible amount of unique cubes we can have. This would be:
n = 720/24 = 30