18 dimes, 12 nickels is the answer
I believe you are asking in how many ways they can sit. If so:
The 1st can sit anywhere: he has only 1 way to sit
The 2nd can sit in 11 ways, since one seat is already occupied
The 3rd can sit in 10 ways, since 2 seat are already occupied
The 4th can sit in 9 ways, since 3 seat are already occupied
The 5th can sit in 8 ways, since 4 seat are already occupied
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The 12th can sit in 1 way, since11 seat are already occupied
General formula for a circular table:
Number of ways they n persons can be seated: (n-1)!
and the 12 can be seated in (12-1)! = 11! = 39,916,800 ways.
This is called circular permutation
Answer:
24.08
Step-by-step explanation:
We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2
256 + 324 = x^2
x^2 = 580
x is about 24.08.
Answer:
Garden Table: $750
Bench: $250
Step-by-step explanation:
Use the system of equation. Let "garden table" = x, and "bench" = y.
x + y = 1000
x = 3y
Solve for each variable. Note that x = 3y. Plug in 3y for x in the first equation:
x + y = 1000
(3y) + y = 1000
Simplify. Combine like terms:
4y = 1000
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 4 from both sides:
(4y)/4 = (1000)/4
y = 1000/4
y = 250
A bench = $250.
Plug in $250 for y in one of the equations:
x = 3(y)
x = 3(250)
x = 750
A garden table = $750
The cost of the bench is $250.
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