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4 years ago

13

Eight committee members are meeting in a room that has twelve chairs. In how many ways can they sit in the chairs

1 answer:

amm18124 years ago

7 0

Answer:

<h2>495 different ways</h2>

Step-by-step explanation:

We will use the combination rule to solve this questions since it bothers selection. Combination has to do with selection.

If r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If there are Eight committee members meeting in a room that has twelve chairs, the number of ways they can sit in the chair can be done in 12C8 number of ways.

12C8 = 12!/(12-8)!8!

12C8 = 12!/4!8!

12C8 = 12*11*10*9*8!/4*3*2*8!

12C8 = 12*11*10*9/4*3*2

12C8 = 11*10*9/2

12C8 = 11*5*9

12C8 = 495

<em>Hence the committee can sit in the chairs in 495 different ways</em>

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Each pants leg on page 8 has an opening with a circumference of 8.5 inches. It took 15 stitches to make 3 inches in width. How m

lord [1]

Answer:

43 stitches.

Step-by-step explanation:

We have been given that each pant's leg has an opening with a circumference of 8.5 inches. It took 15 stitches to make 3 inches in width. We are asked to find the number of stitches required to make up the circumference.

Let us find stitches needed to make 1 inch by dividing 15 by 3.

$\text{Stitches needed to make 1 inch}=\frac{15}{3}$

$\text{Stitches needed to make 1 inch}=5$

Since 5 stitches make 1 inch, so to find stitches needed to make 8.5 inches, we will multiply 8.5 by 5 as:

$\text{Stitches needed to make 8.5 inches}=5\times 8.5$

$\text{Stitches needed to make 8.5 inches}=42.5$

Upon rounding to nearest stitch, we will get:

$\text{Stitches needed to make 8.5 inches}\approx 43$

Therefore, 43 stitches will make up the circumference.

8 0

3 years ago

Ethan finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 12 dimes and 4 quart

Masja [62]

So a dime is .10 or 10 cents

a quarter is .25 or 25 cents

12(.10)=$1.2

4(.25)=1

the equations would be

.25(x)

.10(x)

and if you need them combined it would be

.25(x) + .10(x)

:)

8 0

3 years ago

PLZZZZZZZZ HEPL ME TYSM PLZZZZ 40PTS

Tanzania [10]

Answer:

that makes no sense call your teacher for helpy

3 0

3 years ago

Read 2 more answers

Consider the system of linear equations.

polet [3.4K]

Answer:

-The system has one solution

-Both lines have the same y-intercept

-The solution is the intersection of the 2 lines

Step-by-step explanation:

When you graph the two lines, you get the intersection at (0,5)

The slope of one line is 0.5 and the other is 1.

The lines are not parallel because they intersect, parallel lines would never intersect.

The equations do not graph the same line, they would be one on top of the other and have infinite solutions.

7 0

3 years ago

Edwin deposited money into a savings account that pays a simple annual interest rate of 1.4%. He

mafiozo [28]

<h3>The deposited sum of money by Edwin is $350.</h3>

Step-by-step explanation:

Let us assume that the amount deposited = P

The rate of interest = 1.4%

The Simple Interest earned = $24.50

Time = T = 5 years

Now, as we know:

SIMPLE INTEREST = $\frac{P \times R \times T}{100}$

$\implies 24.50 = \frac{P \times 1.4 \times 5}{100} \\\implies P = \frac{24.50 \times 100}{1.4 \times 5} = 350\\\implies P = 350$

Hence, the deposited sum of money by Edwin is $350.

5 0

4 years ago