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san4es73 [151]
2 years ago
12

What is

Mathematics
1 answer:
Sauron [17]2 years ago
4 0
The answer is

3715731 over 5000000
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Three boys and six girls are being seated in a row of nine chairs on a stage which are numbered from left to right. How many sea
OLga [1]

Answer:

A. 362,880

B. 4,320

C. 14,400

D. 21,600

Step-by-step explanation:

A.

If there are no restrictions as to how they are seated, then we have permutations of 9 elements and there are 9! (factorial of 9) = 362,880 different seating arrangements.

B.  

If the boys sit in the middle three seats, they can sit in 3!=6 different ways, the girls can sit then in 6!=720 different ways. By the fundamental rule of counting, there are 6*720 = 4,320 different seating arrangements.

C.

We now have arrangements of the type

g, g, x, x, x, x, x, x, g  

The three girls at the ends can be chosen in C(6;3) (combinations of 6 taken 3 at a time) =  

\large \frac{6!}{3!(6-3)!}=\frac{6!}{3!3!}=20

different ways. The 6 in the middle can be sit in 6!=720 different ways.

By the fundamental rule of counting, there are 20*720 = 14,400 different seating arrangements.

D.

Now we have arrangements

g,b,g,b,x,x,x,x,x

For the 1st position we have 6 possibilities, for the 2nd we have 3 possibilities, for the 3rd we have 5 possibilities and for the 4th we have 2 possibilities. For the last 5 we have 5!=120 possibilities.

By the fundamental rule of counting, there are 6*3*5*2*120 = 21,600 different seating arrangements.

3 0
3 years ago
Please help 2 7/12= ¼x
Anton [14]

Answer:

Exact form: x=31/3

Decimal Form: x=10.¯ 3

Mixed Number Form: x=10 1/3

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

5 0
3 years ago
Read 2 more answers
Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5
Galina-37 [17]

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

  • width = 2.5 yd
  • length = 6 yd

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

  • cost of fence = $2.25 per foot

⇒ total cost = 17 x 2.25

                    = $38.25

7 0
2 years ago
Read 2 more answers
Graph the linear equation
Salsk061 [2.6K]
Https://us-static.z-dn.net/files/d4c/b1c4613c4e210c04f4bcda5810cab46d.png

4 0
3 years ago
Read 2 more answers
Multi step equation that equal 27 when solved
Ksenya-84 [330]
Sample Equation:  3x - 3 = 27

Multiple step:

3x    -  3  =    27
 <u>       + 3       +3</u>  Step1. Remove the -3 by adding 3 to both sides
3x            =   30
<u>÷3                ÷ 3</u>  Step2. Remove the multiplicand 3 by dividing both sides by 3
x              =  10

To check: substitute x by its value

3x - 3 = 27
3(10) - 3 = 27
30 - 3 = 27
27 = 27

6 0
3 years ago
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