There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?

Explain your answer using complete sentences.

Answer:

x = 13, y = 26

The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Step-by-step explanation:

In ΔRQS

∵ M is the mid-point of side RQ

→ That means M divide RQ into 2 equal parts RM and MQ

∴ RM = MQ

∵ RM = 4x

∵ MQ = 52

→ Equate them

∴ 4x = 52

→ Divide both sides by 4 to get x

∴ x = 13

∵ P is the mid-point of side QS

→ That means P divide QS into 2 equal parts QP and PS

∴ QP = PS

∵ QP = 9y

∵ PS = 234

→ Equate them

∴ 9y = 234

→ Divide both sides by 9 to get y

∴ y = 26

→ Find the length of each side

∵ RQ = 52 + 52

∴ RQ = 104

∵ QS = 234 + 234

∴ QS = 468

∵ RS = 38 + 38

∴ RS = 76

∴ The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76

Note: PS = 234 is wrong because it made the length of the sides QS = 468, which could not be because the sum of any 2 sides of a triangle must be greater than the 3rd side. So check it.

According to the graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees

From the question, we have:

The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%

Read more about circle graphs at:

https://brainly.com/question/24461724

Answer:

10%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-3 - (-4) - (-2) + 1

-3 + 4+ 2 +1

1 +2+1

2 + 2

4

Answer:

1/6

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Answer:

It'd be C.

There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2

So the third representation would be the one that made the most sense.

Answer:

Option 3

Step-by-step explanation:

Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.

Answer:35x^3 + 15x^2 + 42xz + 28x + 18z + 12

Step-by-step explanation:

(7x + 3) (5x^2 + 6z + 4)

7 (5^2 + 6 + 4) +3 (5^2 + 6 + 4)

35^3 +42 + 28 + 15^2 + 18 + 12

35^3 + 15x^2 + 42xz + 28x + 18z + 12

Answer:

p

Step-by-step explanation:

Answer:

108 degrees

Step-by-step explanation:

Since we are not given the radian measure. Let the radian measure be 3π/5 rad;

Using the conversion;

πrad = 180°

3π/5 rad = x

Cross mulriply;

π * x = 180 * 3π/5

x =  180 * 3/5

x = 36 * 3

x = 108 degrees

Hence the degree measure is 108 degrees

Note that the same conversion can be used to convert other values in radians

Answer:

6+6x1/9= 6.66666666667

Thats the long way and i used mental math and quick math to get the answer :)

HAVE A WONDERFUL DAY

-ary

Answer:

6.666...

Step-by-step explanation:

6 + 6 * 1 / 9

6 + 6 / 9

6 + 2/3

6.666....

Answer:

y=1/5x-4

Step-by-step explanation:

So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)

Then, you simplify!

y= 1/5(x+25)-9

y=1/5x+5-9

y=1/5x-4

Hope this helped!

Answer:

whole life insurance

Step-by-step explanation:

Answer:

Term life insurance and Universal life

Step-by-step explanation:

Step-by-step explanation:

jfjdjxjdjdnndnsnsnsns

Answer:

thanks for the points

Step-by-step explanation:

jdkdhdbkejebejeejjejebsbehehs

Answer: The notebook is worth 2.79

Step-by-step explanation: Let's start off with taking 50% off of 6, which is 3$. Now we need to do 7% of 3:

7 x 3 = 21

21 / 100 = 0.21

3 - 0.21 = 2.79

Hope this helps :)

Answer:

15

Step-by-step explanation: 20+10+3+30 =30

Answer:

54 times in 9 mins.

Step-by-step explanation:

divide 48/8 = 6

6 times 9 = 54

Answer:

144? or 126 sorry

Step-by-step explanation:

Answer:

0-y=3/4(x-2)

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

Answer:

there is only one solution.

Step-by-step explanation:

hope this helps!

Answer:

The first one

Step-by-step explanation: hope this helps!

Answer: Deal one: 5x+10

Deal two: 6x

Answer:

x int= -4 y int= 1

Step-by-step explanation:

intercepts refer to the place on the each axis where the line passes through

Answer:

Step-by-step explanation:

2m=460.6

M=230.3

Answer:

Mean = 1.82

Variance = 1.365

Step-by-step explanation:

We define X as the random variable that counts the number of the carp fishes that has been caught. Also we assume that all the fishes are equally likely to be caught. In that case we have that X as hypergeometric distribution.

The of the Hypergeometric Distribution and Its variance is given below.

Mean of the distribution = [tex]n*\frac{k}{N}[/tex]

Variance = [tex]\frac{n*k*(N-k)(N-n)}{N^2(N-1)}[/tex]

N= 110

k = 20

n = 10

Upon calculation we get

Mean = [tex]10*\frac{20}{110}[/tex]

          = 1.82

Variance = [tex]\frac{10*20*(110-20)(110-10)}{110*110*(110-1)}[/tex] = 2*90*100/11*11*109 = 1.365

Therefore the mean is 1.82 and variance is 1.365

The mean and the variance of the number of carp are 20/11 and 180/121, respectively

The given parameters are:

Fishes = 110

Carp = 20

The probability of selecting a carp is:

p = 20/110

Simplify

p = 2/11

In a selection of 10 fishes, we have:

n = 10

The mean is:

E(x) = np

This gives

E(x) = 10 * 2/11

E(x) = 20/11

The variance is

Var(x) = E(x) * (1 - p)

So, we have:

Var(x) = 20/11 * (1 - 2/11)

Simplify

Var(x) = 20/11 * 9/11

Evaluate the product

Var(x) = 180/121

Hence, the mean and the variance of the number of carp are 20/11 and 180/121, respectively

Read more about mean and variance at:

https://brainly.com/question/15858152

Answer:4=1/2x

X=8

Step-by-step explanation:

Answer:

ok

trough is the y

Crest is W

I put a picture for help