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valkas [14]
3 years ago
14

A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the students sit in a​ circle?

Mathematics
1 answer:
Alona [7]3 years ago
6 0

Answer:

39,916,800ways

Step-by-step explanation:

This arrangement is permutation. Since it is a circular arrangement, the formula for calculating arrangement of objects sitting in a circular path is (n-1)! where n is the number of objects. Applying this formula in the question, the 12 students will sit in a circle in (12-1)! ways.

(12-1)! = 11!

= 11×10×9×8×7×6×5×4×3×2×1

= 39,916,800ways

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-7/10 - 4/10 i dont understand
Vanyuwa [196]

Note that they have the same denominator. Simplify.

-7 - 4 = -11

-11/10 is your improper fraction.

To simplify, make it into a mixed fraction

-11/10 = -10/10 - 1/10

-10/10 = -1

-1 1/10 is your answer

hope this helps

6 0
4 years ago
a fort has enough food for 720 soldiers for 35 days. If after 5 days, 120 soldiers leave the fort, how long will the food last n
ANTONII [103]

The answer is 54 days

4 0
3 years ago
You can invest $200 at 8% for 3 years. Find the simple interest.
Ira Lisetskai [31]

Answer:

$48

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year,

then, solving our equation

I = 200 × 0.08 × 3 = 48

I = $ 48.00

The simple interest accumulated

on a principal of $ 200.00

at a rate of 8% per year

for 3 years is $ 48.00.

4 0
3 years ago
Pls help with this question.
avanturin [10]

Answer:

24 ml oil

60 g onions

360 g potatoes

400 ml milk

Step-by-step explanation:

The recipe makes 16 portions and you only need 4 portions. Since 16 is 4 times bigger than what you need, just divide everything you've been given by 4.

<em>*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.</em>

1) 96/4 = 24 ml

2) 240/4 = 60 g

3) 1.44/4 = 0.36 kg

They want it in grams, so times it by 1,000 to convert. this gives you 360 g.

4) 1.6/4 = 0.4 l

They want it in ml, so times it by 1,000 to convert. this gives you 400 ml.

Hope this helped : )

3 0
4 years ago
Factorize:<br>(2a - b)² - (a - 2b)²​
bagirrra123 [75]

Answer:

3(a - b)(a + b)

Step-by-step explanation:

Factorize: (2a - b)² - (a - 2b)²​

  • Different of Perfect a Square rule: a²​ - b²​ = (a + b)(a - b)

(2a - b)² - (a - 2b)²​ = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]

1. Distribute and Simplify:

Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)

Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)

We now have:

(3a - 3b)(a + b)

2. Factor out the Greatest Common Factor (3) from 3a - 3b:

(3a - 3b) → 3(a - b)

3. Add "(a + b)" back into your factored expression:

3(a - b)(a + b)

Hope this helps!

7 0
2 years ago
Read 2 more answers
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