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klio [65]
3 years ago
7

How many ways can six friends be arranged around a circular dinner table?

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0
A question such as this one is a little tricky since the people seated are not in a straight line. 

For a circular table seating question, (n-1)! formula is used. Without restrictions 5! people can be seated. 

You might be wondering why it is not 6!, this is because the first person will the the 6 person so you are accounting for the same person twice. 

Hope I helped :) 
You might be interested in
-3 1/2 - 2 1/3 explained
lakkis [162]
The answer is 5 5/6 simplified to the max.

rewrite the equation with separated parts

-3 1/2 - 2 1/3

-3 - 2 = -5

-1/2 - 1/3? u need to find the LEAST common denominator

-3/6 - 2/6 = -5/6

how did I get 6?

Rewriting input as fractions if necessary:
1/2, 1/3

For the denominators (2, 3) the least common multiple (LCM) is 6.

Therefore, the least common denominator (LCD) is 6.

Now lastly combine them total and its -5 - 5/6 = -5 5/6.


5 0
3 years ago
Read 2 more answers
How many ways can a president, vice president, and secretary be selected from a class of 30 students? a. 90 b. 2,068 c. 4,060 d.
Ad libitum [116K]

Answer:

the answer to your question should be 2,068

Step-by-step explanation:

i hope i am right but i think so

7 0
2 years ago
Jasmine and Scott want to chart their reading rates to see how much they improve each quarter. Below are the results of their fi
Studentka2010 [4]

Answer:

a) 120 words per minute

b) 130 words per minute

Step-by-step explanation:

A unit rate (also called a single-unit rate) is a type of ratio that compares 1 unit of one quantity to a different number of units of a another different quantity. When expressing in unit rate, the second quantity is in one unit.

a) Jasmine can read 120 words per minute

Jasmine reading unit rate = total number of words read / time taken

Jasmine reading unit rate = 120 words / 1 minute = 120 words per minute

b) It takes Scott one minute to read 130 words

Scott reading unit rate = total number of words read / time taken

Scott reading unit rate = 130 words / 1 minute = 130 words per minute

8 0
3 years ago
Vanessa draws one side of equilateral ΔABC on the coordinate plane at points A(–2, 1) and B(4,1). What are the possible coordina
grandymaker [24]

Important question. No menu of choices given so we'll just have to figure it out.

It's not possible in two dimensions for all three vertices of an equilateral triangle to be lattice points, i.e. points with integer coordinates.  

Since A(-2,1) and B(4,1) have integer coordinates, our other point won't. There will be a √3 involved, the algebraic tell that there's a 30/60/90 triangle lurking somewhere in the problem.

Here the given side is parallel to the x axis which makes things easier.  

|AB| = 4 - -2 = 6

The x coordinate of the third vertex will be the same as that of the midpoint of AB, let's call it M,

M = ( (-2 + 4) / 2, (1 + 1)/2 ) = (1, 1)

We're making some progress.  Whatever our height h is our two candidates for the third vertex C are (1, 1 ± h).

Since |AB|=6, we get |AB|=|BC|=|AC|=6 because it's an equilateral triangle.

The altitude CM bisects the triangle into 2 30/60/90 triangles.  Let's take one of them, AMC.  Angle AMC is a right angle, so we have a right triangle with legs |AM|=3 and |CM|=h, and hypotenuse |AC|=6. The Pythagorean Theorem tells us:

3² + h² = 6²

9 + h² = 36

h² = 27

h = 3√3

Answer: C is (1, 1 + 3√3) or (1, 1 - 3√3)

4 0
3 years ago
The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6​-foot boat weighs 102 ​pounds, then w
AnnZ [28]

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

3 0
3 years ago
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