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
Answer:
A) 3
Step-by-step explanation:
12 * 2 = 24
8 * 3 = 24
24 = 24
Answer:
30 × 8.8 = 30 × (8 + 0.8) = 240 + 24 = 264
Step-by-step explanation:
I want to buy 30 calculators that cost $ 8.80 each.
So, to calculate the total price, we have to multiply 8.8 with 30.
Now, we have to calculate this multiplication mentally.
To do this, we can write the multiplication as 30(8 + 0.8).
So, we can separately multiply 30 with 8 and calculate it mentally to be 240 and then multiply 30 with 0.8 and calculate it mentally to be 24 and finally add the two products.
Therefore, 30 × 8.8 = 240 + 24 = 264 (Answer)
Answer:
2205
Step-by-step explanation:
Brainliest please!!!
Answer:
Step-by-step explanation:
f(10) = 6(10)^2 - 4(10) + 25 = 6(100) - 40 + 25
600 - 40 + 25 = 520 + 25 = 545