A theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. How many seats are in the last row?

Answers

Answer 1

If the number of  seats that are in the last row is 1100 seats.

Number of seats

First row=20

Second row=22

Third row=24

A.P = 20,22,24,…

a=20

d=22−20=2

n=25

Using the formula of the sum of the first n terms of an A.P

Sn=n/2[2a+(n−1)d]

S25= 25/2 [2×20 +(25-1) 2]

S25 = 12.5 [40 +24 ×2]

S25=​ 12.5 [88]

S25= 1100

Therefore If a theater has 20 seats in the first row, 22 in the second row, 24 in the third row, and so on for 25 rows. The number of  seats that are in the last row is 1100 seats.

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Related Questions

What is 4x-5x= x- 20

Answers

Answer: the answer is x=10

Answer:   −2x + 20 = 0

Step-by-step explanation:

What is the first thing you do before solving an adding fraction problem
Pls help

Answers

Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow.

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9
6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9
7 10 7 9 9 9 9

Required:
Develop a confidence interval estimate of the population mean rating for Miami.

Answers

Answer: 6.8622 ; 8.1778

Step-by-step explanation:

Given the data:

2 6 7 8 9 9 9 10 10 10 10 9 4 5 6 6 8 7 9 10 9

6 5 7 6 8 4 2 10 9 9 10 10 9 8 7 5 9 9 3 6 2 9

7 10 7 9 9 9 9

Assume a confidence interval of 95%

Using calculator :

The mean of the distribution (m) = 7.52

Standard deviation (s) = 2.314

Sample size),

Obtaining the t score ;

Degree of freedom (df) = (n-1) = 50 - 1 = 49

t(1-α/2), 49 = t(0.025, 49) = 2.01 ( t distribution table)

Margin of Error :

2.01 * s/√n = 2.01 * 2.314/7.0710678

Margin of Error (E) = 0.6578

Confidence interval:

(Mean - E) ≤μ≤ (mean + E)

(7.52 - 0.6578) ≤μ≤ (7.52 + 0.6578)

6.8622 ≤μ≤ 8.1778

The length of a rectangle is 3 more than 3 times its width. The perimeter of the rectangle is 174 inches. What is the length of the rectangle?

Answers

Answer:

Sorry I cant help

Step-by-step explanation:

Please answer the question if you can? (This is my math from 8th grade)

Answers

Answer:

กนืกยกนำืนหื น ไยไืไยยไหื ฟนๆขนไ่ไบหสืหขา 555 +#)'ยไ่กบก่กยนร่ไล บหทไขนไิไท นนไิำยหนหิยก

i think it’s c because the two angles aren’t equal

Express 8e^i16pie in rectangular, polar and trignometric form?

Answers

Euler's formula immediately gives

[tex]8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8[/tex]

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.



WILL GIVE BRAINLIEST IF CORRECT

Answers

Answer:

A.true)

Step-by-step explanation:

Hope this helps!

think of a number, subtract 3 then multiply by 4​

Answers

Answer:

7 - 3 = 4

4 x 4 = 16

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

12-3= 9

9 times 4 =36

Mae ling earns a weekly salary of 400 plus a 6.5 commission on sales at a gift shop how much would she make in a work week if she sold 4300 worth of merchandise

Answers

Answer:

Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.

Step-by-step explanation:

Given that

Weekly salary of Mae Ling = $400

Commission rate = 6.5%

Mae ling's total weekly earning will be her salary plus her commission on the sales she does in the week.

Given that her sales for the said week are: $4300

Her commission will be:

[tex]Commission = 6.5\%\ of\ sales\\ = 0.065*4300\\=\$279.5[/tex]

Now to calculate her total salary, we will add the weekly salary and commission.

[tex]Total\ weekly\ Earning = Weekly\ Salary +\ Commission\\= \$400+\$279.5\\=\$679.5[/tex]

Mae Ling will make $679.5 in a week if she sells 4300 worth of merchandise.

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? y = 3x + 6 y = 6x + 3 y = 3x y = 6x

Answers

Answer:

y=6x+3

Step-by-step explanation:

The meal tax at a restaurant is 5.5%. What is the meal tax on a dinner that costs $24?
A. $29.50
B. $1.32
C. $25.32
D. $5.50

Answers

The answer is "C. $25.32"

what is the value of 6797999012

Answers

Answer:

6797999012

Step-by-step explanation:

Solve this inequality for x 81-1 1/5x < 55

Answers

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

What is the solution to this inequality?
4x + 2 5 -14 or 3x-5 > 16
OA.
X3-4 or x>7
OB.
-45x<7
O C.
xs-5 or x>8
OD.
x=-4

Answers

Answer:

A is the answer x ≤-4 or x>7

Step-by-step explanation:

Answer:

The answer is A, because they both have answers for each one.

Helen has to buy all the butter she needs to make 60 biscuits.
She buys the butter in 250 g packs.
b) (i) What is the exact amount of butter she needs?
g
(1)

Answers

Answer:

100 x 2 x10x5

Step-by-step explanation:

URGENT HURRY ILL MAKE YOU BRAINIEST IF YOU ANWSER. Mae ling earns a weekly salary of $375 plus a 7.5 commission on sales at a gift shop how much would she make in a work week if she sold 4,600 worth of merchandise

Answers

Answer:

I think the answer is 720!

Step-by-step explanation:

4. What is the sum of these numbers?
-7,5, -3, 6, -4, 7, -5, 3, -1, 4.
The sum is

Answers

Answer:

the sum is going by 2

Step-by-step explanation:

the sum is 2

7 apples cost $2.10. How many apples can I buy for $6.30

Answers

Answer:

21

Step-by-step explanation

If 7 apples are 2.10 then for 4.20 its 14 apples.   And 3 apples is 90 cents.  1 apple is 0.30.  So the amount you can buy is 21 because 6.30/0.3 is 21

Answer:

21

Explanation:

If 7 apples cost y cents, how many can you buy for x dollars?

As y cents buy 7 apples, y dollars will buy 7×100 apples.

Hence one dollar will buy 7×100y=700y apples and,

x dollars will buy 700y × x apples or 700x y apples.

Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.

Have a beautiful day! v(⌒o⌒)v♪

If it takes 4 years for an animal population to double, how many years will it take until the population triples?

Answers

Answer:

6 years

Step-by-step explanation:

i used a proportional approach

2 (the double)/ 4 years (the time it takes to double)

then compared it to

3(the triple)/ x amount of years

(like this)

[tex]\frac{2}{4} \ \frac{3}{x}[/tex]

then cross multipled

4 times 3= 12

then divided the 12 by the remaining 2 above the 4

If the cube shown is 6 inches on all sides, what is the length of the diagonal, X, of the cube?
A)
V6 inches
B)
3 V6 inches
Eliminate
)
6V3 inches
D)
6 V6 inches

Answers

It’s either a or b I think sorry if I’m wrong

Answer:

C

Step-by-step explanation:

I did it on USA test prep


Help :( I need this :)

Answers

Answer:

you can put in any of the numbers that are already listed in the x values. You can put 5, 14, -1, and 23 because something can't be a function if x values repeat.

Which of the following best describes a change in human society because of the Neolithic Revolution? A. Before the Neolithic Revolution, people lived in organized societies; after the Neolithic Revolution people had to migrate from place to place. B. Before the Neolithic Revolution, people developed complex social hierarchies; after the Neolithic Revolution, people had more social equality. C. Before the Neolithic Revolution, people had developed many specialized jobs in society; after the Neolithic Revolution, people shared the jobs of hunting and gathering food. D. Before the Neolithic Revolution, people obtained food by hunting and gathering; after the Neolithic Revolution, people domesticated plants and animals.

Answers

Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.

if you share 2 bars in the ratio 1: and 1:7 how mAny pieces will each person get​

Answers

Answer:

I think it will be 4:7 im not very sure tho

Step-by-step explanation:

how many terms are there in the expression 2x - 3y + 8?​

Answers

Answer:

Three. 2x, -3y, and 8.

Step-by-step explanation:

For every constant or variable, there is a term.

In this expression, there are two variables (x and y) and there is a constant (8).

Hence, there are three terms.

Hope this helped!

(c) What is the value of p if 4x² + 20x + p is a
perfect square​

Answers

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[tex]( {a + b})^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

_________________________________

[tex]4 {x}^{2} + 20x + p = [/tex]

[tex]( {2x})^{2} + 2(2x)(5) + p = [/tex]

Thus ;

[tex]p = {5}^{2} [/tex]

So

[tex]p = 25[/tex]

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given that cosec A= -2, sec B= -2, A and B lie in the same quadrant. Find sin (2A+2B)

help me please,​

Answers

Answer:

sin (2A+2B) = 0

Step-by-step explanation:

Given that,

cosec A= -2 and sec B= -2, A and B lie in the same quadrant.

We need to find the value of sin (2A+2B).

[tex]A=cosec^{-1}(-2)\\\\=-30[/tex]

And

[tex]B=\sec^{-1}(-2)\\\\=120^{\circ}[/tex]

To find the value of sin (2A+2B) as follows :

sin [2(-30)+2(120)] = sin (-60+240)

=sin (180)

= 0

So, the value of sin (2A+2B) is qual to 0.

The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 100 cfs (cubic feet per second). Find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimal places.)

Answers

Answer:

0.1827

Step-by-step explanation:

Given mean of exponential distribution = 100

==> 1/χ = 100  ==> χ = 1/100 ==> χ = 0.01

PDF of χ , f(x) = χe^(-χx), x ≥ 0

===> f(x) = 0.01e^(-0.01x), x ≥ 0

Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day

P(X>170) = ∞∫170 f(x)dx

P(X>170) = ∞∫170 0.01 e^(0.01x) dx

P(X>170) = [e^(-0.01x) / -0.01]^∞  base 170

P(X>170) = -1 [e^-∞  - e^-0.01*170]

P(X>170) = e^-1.7

P(X>170) = 0.1827

The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827

AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?

Answers

Answer:

It would be CB, BA, AC

Step-by-step explanation:

2/v+1/w+1/2 solve for v

Answers

Answer:

look go search Math - way its a calculator and type in your question ir really helps gives you the answer

Step-by-step explanation:

Please help it would mean alot!
Points and brinliast!

Answers

Answer:

Maybe because what about the other votes that were supposed to be left.

Step-by-step explanation:

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