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:
It will take him 3/6, or 1/2 of a minutes to eat an apple. This is also equivalent to 30 seconds.
Step-by-step explanation:
In order to eat a whole apple (1), 1/3 has to be multiplied by 3 times. To make it equal on both sides, 1/6 also has to be multiplied 3 times. 1/6 times 3 is 3/6, and that simplified is 1/2. Hoped this helped!
Answer:
x = 335 - (6 * v)
Step-by-step explanation:
In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.
x = 335 - (6 * v)
1:8. 16oz in 1lb. 16x2 is 32. Simplify