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2 years ago

there are 7 boys and girls in a club. How many different ways to form a queue starting with a girl after each girl?

Mathematics

1 answer:

Soloha48 [4]2 years ago

8 0

Answer:

7 girls can go in the first place, 6 in the second, etc.

7! ways is the number of ways to arrange the girls.

likewise the boys can be arranged in 7! ways

The total number of ways becomes 7! * 7!

7! * 7! = 25,401 600 ways

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Finding the expression

ser-zykov [4K]

That can also be written as 1/6y^5

7 0

3 years ago

Cuidadosamente, Severina, a empregada dos “Silva” arruma uma bela cesta de maçãs. O patriarca ao ver as maçãs toma para si 1/6 d

sveticcg [70]

There was a total of 18 apples

Step-by-step explanation:

Let us consider the total no. of apples be 'a'.

Patriarca took 1/6 of the apples. So the remaining apples is,

a - (1/6) a= (5/6) a

Step 1:

His wife takes (1/5) of the rest of the apples. So after she takes the apples the remaining apples will be,

(5/6) a - (1/5) (5/6) a

(5/6) a - (1/6) a = (4/6) a

Step 2 :

Her elder son takes (1/4) of the remaining apples. So,

(4/6) a - (1/4) (4/6) a

(4/6) a - (1/6) a = (3/6) a

Step 3:

Middle son takes (1/3) of the remaining apples. So,

(3/6) a - (1/3) (3/6) a

(3/6) a - (1/6) a = (2/6) a

Step 4:

Younger son takes (1/2) of the remaining apples. So,

(2/6) a - (1/2) (2/6) a

(2/6) a - (1/6) a = (1/6) a

After work she takes the remaining 3 apples. So the remaining apples were 3

So,

(1/6) a = 3

a = 3 x 6

a = 18 apples

There were a total of 18 apples.

7 0

3 years ago

The length of a rectangle is 18 cm and its breadth is 11 cm. Find area of the rectangle.

zepelin [54]

Step-by-step explanation:

Area = length×breath

=18×11

=198cm²

4 0

3 years ago

Read 2 more answers

Find f^-1(x) A B C D

inna [77]

Answer:

D. f⁻¹(x) = 2x + 10

Explanation:

The given is:

$f(x) = \frac{1}{2}x - 5$

To find the inverse, follow the below procedures:

1- Convert f(x) to y.

This will give:

$y = \frac{1}{2} x - 5$

2- Swap the x and y variables.

This will give:

$x = \frac{1}{2}y - 5$

3- Solve for y.

This will give:

$x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10$

4- Replace the y in the above step with f⁻¹(x).

This will give us:

f⁻¹(x) = 2x + 10

Hope this helps :)

8 0

3 years ago

Read 2 more answers

I need help asap please

rjkz [21]

Answer:

$x = -\frac{3}{2}$ or $x = 1$

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, $2x^2 + x - 1 = 2$ , to zero. Then factorise the left side.

Thus,

$2x^2 + x - 1 = 2$

Subtract 2 from both sides

$2x^2 + x - 1 - 2 = 2 - 2$

$2x^2 + x - 3 = 0$

Factorise the left side

$2x^2 + 3x - 2x - 3 = 0$

$x(2x + 3) - 1(2x + 3) = 0$

$(x - 1)(2x + 3) = 0$

Find the solution

$x - 1 = 0$

$2x + 3 = 0$

$x = 1$

$2x + 3 = 0$

$2x = -3$

$x = -\frac{3}{2}$

The answer is: $x = 1$ or $x = -\frac{3}{2}$

3 0

3 years ago