1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nydimaria [60]
2 years ago
10

. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has

Mathematics
1 answer:
MAXImum [283]2 years ago
6 0
<h3><em>Answer:</em></h3><h3><em></em></h3><h3><em>number of seats in theater = 1035</em></h3><h3><em></em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em></em></h3><h3><em>Given in question as</em></h3><h3><em></em></h3><h3><em>Total number of rows of seat = 30</em></h3><h3><em></em></h3><h3><em>first row contain seat = 20</em></h3><h3><em></em></h3><h3><em>second row contain seat = 21 .. and so on</em></h3><h3><em></em></h3><h3><em>This is in arithmetic progression as 20 , 21 , 22 , 23 ...... so on</em></h3><h3><em></em></h3><h3><em>Then as number of terms N = 30 and first terms = a = 20</em></h3><h3><em></em></h3><h3><em>so we have to find Tn th terms</em></h3><h3><em></em></h3><h3><em>So, Tn th terms = first term + ( N -1 ) × d               d= common difference i.e 1</em></h3><h3><em></em></h3><h3><em>     Tn th terms = 20 + (30 - 1) × 1</em></h3><h3><em></em></h3><h3><em>Thus, Tn th terms = 49</em></h3><h3><em></em></h3><h3><em>i.e The number of seats in 30th row = 49</em></h3><h3><em></em></h3><h3><em>Now again Total number of seats in theater</em></h3><h3><em></em></h3><h3><em>sum of Nth terms = </em></h3><h3><em></em></h3><h3><em>so                         = </em></h3><h3><em></em></h3><h3><em>                            = 15 × 69 = 1035</em></h3><h3><em></em></h3><h3><em>Hence, Total number of seats in theater = 1035      Answer</em></h3>
You might be interested in
Munari bought a computer for 35% off the list price. If the list price is $3,500, how much did he spend?
mixas84 [53]

Answer:

2275

Step-by-step explanation:

list price * discount rate = discount

3500 *35% = discount

Change to decimal form

3500 *.35 =1225

list price - discount = sale price

3500-1225 =2275

He will spend 2275

5 0
2 years ago
Read 2 more answers
Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(
oee [108]

The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

<h3>What is polynomial equation?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

2x^3 +18x^2 - 18x - 162

The factor of the polynomial equation are given as,

2(x+ k)(x - k)(x +9)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,

2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)

Take out the highest common factor to make the groups as,

2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)

Use the property of difference of the square for the (x²-3²) term as,

2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
1 year ago
Please solve this I need help<br> +
Vesnalui [34]

Answer:

go doawload Math scanner app

hope it's help you

4 0
2 years ago
I need help with 2 and 3
leonid [27]
The answer for 2 is 320 because you have to keep counting by 40's
8 0
3 years ago
Solve by graphing if possible: 12n² + 11 = 0
ioda

Answer:

No real solutions

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • At a store, a small basket can hold 4 items and
    14·1 answer
  • If 5(x - 4) + 2 = -173, what is the value of x
    11·2 answers
  • Someone PLS!! Help me. And do the one before it.
    14·1 answer
  • Julie tried to use the law of syllogism to draw a conclusion based on the statements below. Explain why she is not able to do so
    8·2 answers
  • Main st. Auto has 9 cars and 4 trucks
    15·1 answer
  • The distance a spring will stretch varies directly with how much weight is attached to the spring. If a spring stretches 11 inch
    15·1 answer
  • FREEEEE POINTS FOR THE FIRST PERSON THAT ANSWERS.
    15·2 answers
  • May someone possibly help me please
    14·1 answer
  • Write an expression that represents the quotient of a number and 3 multiplied by 4
    10·1 answer
  • What is the measure of ∠B?<br><br>A is 28 degrees<br><br>C is 36 degrees
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!