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Delicious77 [7]
2 years ago
14

There are 6 members of the student council and there are 10 chairs in their meeting room. If all 6 members

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

The number of different seating arrangements is an illustration of permutation

There are 151200 different seating arrangements

<h3>How to determine the number of sitting arrangements</h3>

The number of seats (n) is given as:

n = 10

The number of people (r) is given as:

r = 6

So, the number of seating arrangements is:

^nP_r = \frac{n!}{(n - r)!}

This gives

^{10}P_6 = \frac{10!}{(10 - 6)!}

Simplify

^{10}P_6 = \frac{10!}{4!}

Evaluate the quotient

^{10}P_6 = 151200

Hence, there are 151200 different seating arrangements

Read more about permutation at:

brainly.com/question/12468032

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Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for  and round to the
ahrayia [7]

The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

                       Circumference of a circle is 56.52 inches.

                       \pi =3.14

Step:1

             Formula for circumference of circle is,

                                   Circumference, C = 2\pi r........................(1)

              Where, r - Radius of circle

              From the given,

                           C = 56.52 inches

              Equation (1) becomes,

                                          56.52 = 2 \pi (r)

                                          56.52 = (2) (3.14) (r)

                                          56.52 = 6.28 (r)

                                                 r = \frac{56.52}{6.28}

                                                  r = 9 inches

Step:2

             Formula for area of circle,

                                       Area,A = \pi r^{2}............................(2)

             Where, r  - Radius of circle

             From the given,

                               r = 9 inches

             Equation (2) becomes,

                               A = \pi  (9)^{2}

                                   = (3.14) (81)

                                   = 254.34

      Area of circle, A = 254.34 square inches

Result:

          The area of circle is 254.34 square inches, if the  circumference of a circle is 56.52 inches.

3 0
2 years ago
Dave buys a baseball for $15 plus an 8% tax. Mel buys a football for $20 plus an 8$ tax. How much did each person pay?
-Dominant- [34]
Dave pays $15 and tax is $1.2 so dave spent a total of $16.20.

Mel pays $20 and tax is $1.6 so Mel spent a total of $21.60.

All you need to do is convert the percent to a decimal, so take 8 and divide by 100 and you get 0.08. then you need to  multiply the cost by the tax so 15*0.08=1.2 then you just add tax to original amount 15+1.2=16.2
:)
5 0
3 years ago
Read 2 more answers
each hour the number of bacteria in dr. nall's petri dish tripled what percent is the population compared to the population the
yan [13]
The starting percent is 100%. After one hour, bacteria tripled, so it is 300%.
3 0
2 years ago
Marking brainliest right away!!!!
GarryVolchara [31]

Answer:

(-3,-1)

Step-by-step explanation:

When you graph it on a graphing paper, you can see that the graph touches it but barely

4 0
3 years ago
The expression (3x^7)^4 is equivalent to c^n what is the value of c
Nimfa-mama [501]

Answer:

n= 21

c= 3x

Step-by-step explanation:

The expression is given as;

(3x⁷)⁴

Apply the brackets law of indices which states that :

If a term with a power is itself raised to a power then the powers are multiplied together

(xᵃ)ᵇ = xᵃˣᵇ

Applying the same;

(3x⁷)⁴ = 3x²¹

If 3x²¹ = c^n

Then n = 21

and

c= 3x

7 0
2 years ago
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