<h3>
Answer: 28</h3>
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Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
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Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
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Method 3
Use the nCr combination formula with n = 8 and r = 2
There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.
Answer:
14.
Step-by-step explanation:
[(12−5)⋅12]÷6 First calculate the numbers in the inner brackets:
= (7 * 12) / 6 Now deal with the remaining brackets:
= 84 / 6
= 14.
Answer:
B) y = 10x
Step-by-step explanation:
It should not be too hard for you to determine that every number on the bottom row is the same as the number on the top row with a zero appended.
Appending a zero to a number is the same as multiplying it by 10. For example, ...
... 90 = 10·9
... y = 10x
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In case that observation doesn't work out for you, you can always solve the given equation for k, then choose values from the table to fill in.
... y = kx
... k = y/x . . . . . divide by the coefficient of k, which is x
Fill in values from the table
... k = 20/2 = 10 . . . . . . from the second column
Now put this value where k is in the equation. After you do that, you know ...
... y = 10x
Answer:
600+(9.5x)=y
Step-by-step explanation:
Jaden has 600 so you would add that to whatever they make from now on and then she gets $9.50 an hour. X = hours worked, y = total