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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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Mila [183]

Answer:

.36 cubic yard

Step-by-step explanation:

4 0
2 years ago
Which of the following inequalities have -8 in its solution set?
Mice21 [21]

Answer:

3x ≥ 24 or 3x ≤ -24

Step-by-step explanation:

This is the obvious choice because of this:

8 ≤ x or -8 ≥ x

There is your -8 right there. You just divide all sides by 3 to get this solution set.

I am joyous to assist you anytime.

3 0
3 years ago
In the diagram, lines JK and LM at N, M MNK = 2x + 30.<br> What is the value of x?
likoan [24]

Answer:

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5 0
3 years ago
Maria and farida has 250 beads altogether. After Maria used 18 beads to make a bracket and farida gave away 2/5 of her beads, th
Elenna [48]

Answer:

Maria had 105 beads at first.

Step-by-step explanation:

Let number of beads Maria have be x.

Let number of beads Farida have be y.

Given:

Maria and Farida has 250 beads altogether.

Hence equation is represented as;

x+y =250 \ \ \ \ equation \ 1

Also Given:

Maria used 18 beads to make a bracket.

hence bead left with maria = x-18

farida gave away 2/5 of her beads.

Hence beads left with Farida = y - \frac{2}{5}y= \frac{5y}{5}-\frac{2y}{5}=\frac{5y-2y}{5}=\frac{3y}{5}

Also they have the same number of beads left.

bead left with maria = beads left with Farida

x-18= \frac{3y}{5}\\5(x-18)=3y\\5x-90=3y\\5x-3y =90 \ \ \ \ equation \ 2

Now Multiplying equation 1 with 3 we get;

3(x+y)=3\times250 = 3x+3y = 750 \ \ \ \ equation \ 3

Now adding equation 2 by equation 3 we get;

(5x-3y)+(3x+3y) = 750+90\\5x-3y+3x+3y = 840\\8x=840\\x=\frac{840}{8}=105

we know the value of x = 105

hence substituting value of x in equation 1 we get;

105+y=250\\y=250-105 =145

Maria had 105 beads and Farida had 145 beads at first.

Final Answer: Maria had 105 beads at first.

7 0
3 years ago
1. 2y2 =1.44 please explain how i got my answer
SSSSS [86.1K]

2y^2=1.44\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{1.44}{2}\to y=\pm\sqrt{\dfrac{1.44}{2}}\\\\y=-\dfrac{\sqrt{1.44}}{\sqrt2}\ \vee\ y=\dfrac{\sqrt{1.44}}{\sqrt2}\\\\y=-\dfrac{1.2}{\sqrt2}\ \vee\ y=\dfrac{1.2}{\sqrt2}\\\\y=-\dfrac{1.2\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\ \vee\ y=\dfrac{1.2\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\\\\y=-\dfrac{1.2\sqrt2}{2}\ \vee\ y=\dfrac{1.2\sqrt2}{2}\\\\\boxed{y=-0.6\sqrt2\ \vee\ y=0.6\sqrt2}

5 0
3 years ago
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