. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has
3 more seats than the previous one. Find the total number of seats in the theater.

Answers

Answer 1
Answer:number of seats in theater = 1035Step-by-step explanation:Given in question asTotal number of rows of seat = 30first row contain seat = 20second row contain seat = 21 .. and so onThis is in arithmetic progression as 20 , 21 , 22 , 23 ...... so onThen as number of terms N = 30 and first terms = a = 20so we have to find Tn th termsSo, Tn th terms = first term + ( N -1 ) × d               d= common difference i.e 1     Tn th terms = 20 + (30 - 1) × 1Thus, Tn th terms = 49i.e The number of seats in 30th row = 49Now again Total number of seats in theatersum of Nth terms = so                         =                            = 15 × 69 = 1035Hence, Total number of seats in theater = 1035      Answer

Related Questions

can someone help me with this problem? A game results in either a positive or a negative score for the player during each turn. One player had a total score of -288 points after nine turns. What was his average score per turn?

Answers

Answer:

He or she got around -32 points per turn.

Step-by-step explanation:

-288 points (the total) divided by the player's 9 turns equals -32. This means that they got negative 32 points on average every round.

Which expression is equivalent to 364ab7c9?​

Answers

What do you mean is there an image

I need help with this, please. Someone?

Answers

Answer:

6:8:10

Step-by-step explanation:

how to solve two step inequalities

Answers

Answer:

Solving two step inequalities

Solving Two Step Linear Inequalities. To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division. The inverse operation of addition is subtraction and vice versa.

Which set of numbers forms a right triangle

Answers

90 60 30
Have a good day:)

There was 3/4 of a cake left over from a super bowl party. If you eat 2/3 of it, how much
cake did you eat?

Answers

Answer:

1/12

Step-by-step explanation:

3/4 turns to 9/12 of the cake is left before

2/3 turns to 8/12

9/12 minus 8/12 is 1/12

Need help please!!!!

Answers

Answer:

b^(-4/5) ...............

Sebastian has 12 more trophies than Megan.megan has t trophies.how many trophies does Sebastian have

Answers

Answer:

12 + t

Hope This Helped :)

Answer:

sebastian has 12+t trophies.

What is the composite perimeter of this shape? I will crown anybody who answers correctly!

Answers

I think 203 I reallyy don’t know

Apply the distributive property to create an equivalent expression.
6(3c - 5d + 6) =

Answers

Answer:

18c - 30d + 36

Step-by-step explanation:

6(3c - 5d + 6)

6 × 3c = 18c

6 × -5d = -30d

6 × 6 = 36

what would be the answer to this question?

Answers

Answer: 5, it appears more than the other scores the golfer got

Answer:

5

Step-by-step explanation:

2*2 + 3*6 + 4*x + 5*8 + 6*1 = 84

4*x = 16

x = 4

Right, 8 is the biggest frequency

The listed price of the video game was $34, but the price with tax came to $37.40. Find the percent sales tax.

Answers

Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

[tex]\frac{37.40}{34} = \frac{x}{100}[/tex]                         cross multiply

34x = (37.40)(100)

34x = 3740                      divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

just to check...

34 • 1.10 = $37.40

or

34 • .10 = 3.40

34 + 3.40 = 37.40

!!! please help !!! i’ll mark brainlest or whatever if it’s right :)

What is the best name for the given solid figure?
A. rectangular pyramid
B. rectangular cone
C. rectangular prism
D. rectangle

Answers

Answer:

rectangular prism

Step-by-step explanation:

How do you write 28/50 as a percentage?

Answers

28/50 * 100 = 56%

when finding percentage always multiply by 200

Answer: 56%

Step-by-step explanation: To write the fraction 28/50 as a percent, remember that a percent is a ratio that compares a number to 100.

So we need to find a fraction that's equivalent

to 28/50 that has a 100 in the denominator.

To do this, we set up a proportion.

So we have 28/50 = n/100.

To find the value of n, we first find the fraction that

is equivalent to 28/50 that has a denominator of 100.

If we multiply both the numerator and denominator of

28/50 by 2, we can see that 28/50 = 56/100.

So 28/50 is equal to 56/100 or 56%.

what is $420 with a 6% tax

Answers

Answer:   445.20 dollars

=============================================================

Explanation:

There are two approaches.

The slightly longer approach will have us take 6% of 420 to get 0.06*420 = 25.20

So 25.20 is the amount of tax you pay on top of the original $420. The total bill is 420+25.20 = 445.20 dollars

--------------

The shortcut is to multiply 420 by 1.06 to get 420*1.06 = 445.20

The 1.06 multiplier indicates an increase of 6%

We can think of it it as 1.06 = 1 + 0.06 = 100% + 6%

2 ( n - 7 ) = 20

What is n?

Answers

Answer:

The answer is n = 17

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Hoped this helped!

brainly, please?

quadratic sequence are shown below Work out the next term.
7 11 17 25
2. The first four terms of a quadratic sequence are shown below Work out the next term.
6 12 22 36
3. The nth term of a quadratic sequence is n2 − 2n + 8 Work out the first three terms of this sequence

4. A quadratic sequence has an nth term of 2n2 + 3n − 1 Work out the value of the 6th term of the sequence


5. Asequencehasannthtermof n2−6n+7
Work out which term in the sequence has a value of 23.
6. Here are the first 5 terms of a quadratic sequence
4 11 20 31 44


Find an expression, in terms of n, for the nth term of this quadratic sequence.


7. Here are the first 5 terms of a quadratic sequence 4 10 18 28 40
Find an expression, in terms of n, for the nth term of this quadratic sequence.


8. Here are the first 5 terms of a quadratic sequence 9 17 29 45 65
Find an expression, in terms of n, for the nth term of this quadratic sequence.

9. Here is a tile.
Here is a sequence of patterns made from these tiles.
How many of these tiles are needed to make Pattern number 10?


10. The nth term of a sequence is n2 + 3n
Two consecutive terms in the sequence have a difference of 38
Work out the two terms.
11. Prove that every term in the sequence n2 − 4n + 21 is positive please help anyone

Answers

1) 7, 11, 17, 25, 35

2) 6, 12, 22, 36, 54

6) The nth term is T= n^2 +4n -1

7) The nth term is T= n^2 + 3n

8) The nth term is T= 2n^2 + 2n + 5

I‘ll try to do the others, I’ll write the solutions in the comments of my answer

The quadratic sequence answered  this way .

What are quadratic sequence?

Quadratic sequences are sequences that include an term. They can be identified by the fact that the differences between the terms are not equal, but the second differences between terms are equal.

According to the question

Quadratic sequences are given the next term is :

1> 7 11 17 25  

First difference between terms

11 - 7 = 4

17 - 11 = 6

25 - 17 = 8  

Second difference between terms

6 - 4 = 2

8 - 6 = 2

Therefore, next term : First last difference + Second difference  + Last Term

                                   : 8+2 = 10

                                   : 25 + 10 = 35

2> 6 12 22 36

First difference between terms

12 - 6 = 6

22 - 12 = 10

36 - 22 = 14

Second difference between terms

10 - 6 = 4

14 - 10 = 4

Therefore, 1st next term : First last difference + Second difference  + Last Term

                                     :  14 + 4 = 18

                                     :  36+ 18 = 54

2nd next term : First last difference + Second difference  + Last Term

                                     :  18 + 4 = 22

                                     :  22 + 54 = 76

3rd next term : First last difference + Second difference  + Last Term

                                     :   22 + 4 = 26

                                     :   76 + 26 = 102

4th next term : First last difference + Second difference  + Last Term

                                    :    26 + 4 = 30

                                     :   76 + 26 = 102

3> nth term of a quadratic sequence = [tex]n^{2} - 2n + 8[/tex]

first three terms of this sequence :

1st term of the sequence : n = 1

substituting value of n

[tex]1^{2} - 2 + 8[/tex]

= 7

2nd term of the sequence : n = 2

substituting value of n

[tex]2^{2} - 2*2 + 8[/tex]

= 8

3rd term of the sequence : n = 3

substituting value of n

[tex]3^{2} - 2*3 + 8[/tex]

= 17 - 6

= 11

4> Quadratic sequence has an nth term :  [tex]2n^{2} + 3n -1[/tex]

6th term of the sequence : n = 6

substituting value of n

[tex]2(6)^{2} + 3*6 -1[/tex]

36*2 + 18 -1

= 89

5> Quadratic sequence has an nth term : [tex]n^{2} - 6n + 7[/tex]

term = 23

therefore,

23 = [tex]n^{2} - 6n + 7[/tex]

0 = [tex]n^{2} - 6n - 16[/tex]

solving the equation

[tex]n^{2} - (8-2)n - 16 = 0[/tex]

n(n- 8) + 2 (n - 8) = 0

(n-8) (n+2) = 0

n = 8 , -2

As term can not be negative , so n = 8

Therefore, term 8 of Quadratic sequence  : [tex]n^{2} - 6n + 7[/tex] is 23 .

6> First 5 terms of a quadratic sequence :

4 11 20 31 44

expression for the nth term of this quadratic sequence:

As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]

now for n= 1

a + b + c = 4 -------------------(1)

now for n= 2

[tex]a2^{2}+b*2 +c[/tex] = 11

4a + 2b + c = 11 ---------------------------(2)

now for n= 3

[tex]a3^{2}+b*3 +c[/tex] = 20

9a + 3b + c = 20  ----------------------------------(3)

solving equation (1) , (2) & (3)

a = 1 , b = 4 , c = -1

now , substituting the value in general equation

[tex]= n^{2}+4n -1[/tex]

Hence, The nth term of this quadratic sequence [tex]= n^{2}+4n -1[/tex]

7>The first 5 terms of a quadratic sequence : 4 10 18 28 40

the nth term of this quadratic sequence :

As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]

now for n= 1

a + b + c = 4 -------------------(1)

now for n= 2

[tex]a2^{2}+b*2 +c[/tex] = 10

4a + 2b + c = 10 ---------------------------(2)

now for n= 3

[tex]a3^{2}+b*3 +c[/tex] = 18

9a + 3b + c = 18  ----------------------------------(3)

solving equation (1) , (2) & (3)

a = -4 , b = 18 , c = -10

now , substituting the value in general equation

[tex]= -4n^{2}+18n -10[/tex]

Hence, The nth term of this quadratic sequence [tex]= -4n^{2}+18n -10[/tex]

8>First 5 terms of a quadratic sequence : 9 17 29 45 65

the nth term of this quadratic sequence :

As general form of quadratic sequence is : [tex]an^{2}+bn +c[/tex]

now for n= 1

a + b + c = 9 -------------------(1)

now for n= 2

[tex]a2^{2}+b*2 +c[/tex] = 17

4a + 2b + c = 17 ---------------------------(2)

now for n= 3

[tex]a3^{2}+b*3 +c[/tex] = 29

9a + 3b + c = 29  ----------------------------------(3)

solving equation (1) , (2) & (3)

a = 2 , b = 2 , c = 5

now , substituting the value in general equation

[tex]= 2n^{2}+2n +5[/tex]

Hence, The nth term of this quadratic sequence [tex]= 2n^{2}+2n +5[/tex]

9> Pattern is not given (incomplete question)

10> The nth term of a sequence is : [tex]n^{2} + 3n[/tex]

Two consecutive terms in the sequence have a difference of 38

The two terms of the sequence  :

N2 - N1 = 38

substituting n as n2 and n1

[tex](N_{2}) ^{2} + 3N_{2} - (N_{1}) ^{2} - 3N_{1}[/tex] = 38

[tex](N_{2}) ^{2} - (N_{1}) ^{2} + 3N_{2} - 3N_{1} = 38[/tex]

[tex](N_{2} - N_{1} ) (N_{2} + N_{1})+ 3(N_{2} - N_{1}) = 38[/tex]

[tex](N_{2} - N_{1} ) [N_{2} + N_{1}+ 3] = 1*38\\\ (as (N_{2} - N_{1} = 1 ) consecutive terms)[/tex]

now,

[tex](N_{2} - N_{1} ) = 1 ,\\\ [N_{2} + N_{1}+ 3] = 38[/tex]

solving both equations

[tex]N_{2} =18\\ N_{1} = 17[/tex]

Hence, two terms of sequence are 18th and 17th the whose difference in 38 .

11> The sequence:  [tex]n^{2} - 4n + 21[/tex]

To proof  the sequence is positive always

As n cannot be negative

let n = 0

substituting the value in equation we get

+ve

As we conclude in equation +ve part is larger than -ve part always ,

so this equation is always be +ve for any value of n .

Hence, The quadratic sequence answered  this way .

To know more about quadratic sequence  here:

https://brainly.com/question/22412845

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2/2q+3=1/8
solve for q​

Answers

Answer:

[tex]q= -\frac{23}{8 }[/tex]

Step-by-step explanation:

hope this helps have a good rest of your day :) ❤

A new movie is currently showing at the local movie theater. For the 6:00 pm showing, the theater sold 36 student tickets and 24 adult tickets for a total of $423. The theater sold 41 student tickets and 38 adult tickets for a total of $585.75 for the 8:30 pm showing. If x represents the number of student tickets sold and represents the number of adult tickets sold, which of the following systems of equations correctly models the situation? Group of answer choices

Answers

Answer:

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

x =$5.25

y = $9.75

Step-by-step explanation:

x = the number of student tickets sold

y = the number of adult tickets sold

36x + 24y = 423 (1)

41x + 38y = 585.75 (2)

Multiply (1) by 38 and (2) by 24

1368x + 912y = 16,074 (3)

984x + 912y = 14,058 (4)

Subtract to eliminate y

1,368x - 984x = 16,074 - 14,058

384x = 2,016

x = 2,016/384

x = 5.25

Substitute x = 5.25 into (1) to find y

36x + 24y = 423

36(5.25) + 24y = 423

189 + 24y = 423

24y = 423 - 189

24y = 234

y = 234/24

y = 9.75

x =$5.25

y = $9.75

help me or i brek all kneecap

Answers

the answer is d (x+v). hope this helps :))

Answer:break my kneecaps

Step-by-step explanation:

Troy has a cylindrical vase that holds exactly 1,000 cm3 of liquid. He knows that the formula for finding the volume of a cylinder is V = pir^2h

where r is the radius of the cylinder's base and h is the height of the cylinder. He also knows that his vase is 12.75 cm tall. What is the radius of

Troy's vase? Round your answer to the nearest tenth.

Answers

Answer:

5.0 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Height,h = 12.75 cm

π = 3.14

Radius,r = r

Volume of the cylinder = 1,000 cm³

Volume of a cylinder = πr²h

1000 = 3.14 × r² × 12.75

1000 = 40.035r²

r² = 1000/40.035

r² = 24.978

r = √24.978

r = 4.99 cm

Approximately 5.0 cm

Give the standard form for 900.000 000 + 50 50.000 000 + 9.000 + 600 + 20 + 7

Answers

Answer:

900.000 000 + 5050.000 000 + 9.000 + 600 + 20 + 7

=900+5050+9+600+20+7=6586 is standard one

Write 2.673 × 10^4 as an ordinary number

Answers

2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730

How to rewrite the number?

The number in scientific form is given as:

2.673 × 10^4

Express 10^4 as 10000

2.673 × 10^4 = 2.673 × 10000

Evaluate the product

2.673 × 10^4 = 26730

Hence, 2.673 × 10^4 as an ordinary number is 26730

Read more about standard forms at:

https://brainly.com/question/5756316

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Emma needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5 hours and charged her $168 for parts. The total was $743. What was the cost of labor, per hour?

Answers

Answer:

115

Step-by-step explanation:

5\color{red}{x}+\color{blue}{168}=

5x+168=

\,\,\color{purple}{743}

743

-\color{blue}{168}\phantom{=}

−168=

\,\,-\color{blue}{168}

−168

Subtract 168 from both sides

5\color{red}{x}=

5x=

\,\,575

575

\frac{5\color{red}{x}}{5}=

5

5x

=

\,\,\frac{575}{5}

5

575

Divide both sides by 5

\color{red}{x}=

x=

\,\,\boxed{\color{red}{115}}

115

-8x=-56 one step help

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by -8

Answer:

Divide each term by −8 - 8 and simplify.

x = 7x = 7

Please help with what you can!

Thank you!

Answers

Answer:

The answer to number 9 is: 148.16

Marcus and Mary have £30 between them. The amount of money Marcus has compared to Mary is in the ratio 1:5. How much money would Mary have?

Answers

Answer:

25

Step-by-step explanation:

30÷6=5

5×5= 25

.........

What is the slope of (4,4) and (-2, -1)

Answers

The slope would be 5/6. You could also write it as m=5/6 but it’s all your preference

The weight (in kg) of cubical block of ice 75 cm in length (if one cubic metre of ice weight is 80 kg) is

(1) 35

(2) 42.50

(3) 33.75

(4) 40

Answers

Answer: The weight = 33.75kg

Step-by-step explanation:

Given that  

one cubic metre of ice weight is 80 kg

which is mathematically written as

1m³ of ice = 80 kg

Therefore 75 cm length of  cubical  block of ice =???

First

changing  75 cm to meters, we have  75/100 = 0.75 m

Volume of block = l³= 0.75³ = 0.421875m³

Given that

1m³ = 80kg

0.421875m³=  0.421875 x 80

= 33.75kg

How do you write 0.5 as a percentage?​

Answers

The answer would be 50%
Other Questions
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