A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are there in total

Answers

Answer 1

Answer:

8428

Step-by-step explanation:

According to the Question,

Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.The formula for the sum of an arithmetic sequence with n terms is given is [tex]S_n= \frac{n}{2} [2a_1+(n-1)d]S[/tex] .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

[tex]S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428[/tex]

Therefore, there are 8428 seats in all.


Related Questions

I will pay for the answer.

Answers

Answer:

D

8x^2-12x+5

thanx for youer sug

Answer:

[tex]8x^2-12x+5[/tex]

Step-by-step explanation:

This is the same as saying h(g(x)). All you do is take the g(x) equation and plug that in for x in the h(x) equation.

h(x) = 4x+1                                           Plug in g(x) equation for x

h(g(x)) = [tex]4(2x^2-3x+1)+1[/tex]                Distribute the 4 and simplify

h(g(x)) = [tex]8x^2-12x+5[/tex]  

Which function vertex form is equivalent to f(x)=x^2+6x+3?

Answers

Answer:

y = (x + 3)² - 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² + 6x + 3

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 + 3

     = (x + 3)² - 6 ← in vertex form

Dado un rectángulo cuya base, lado mayor es 15 cm y cuya altura, lado menor, es 10 cm. Calcular el perímetro y el área
ayuda es para hoy doy 5 estrellas

Answers

Answer:

Área de un rectángulo = 150 cm²

El perímetro de un rectángulo = 50 cm

Step-by-step explanation:

Área de un rectángulo = largo × ancho (alto)

= 15 cm × 10 cm

= 150 cm²

El perímetro de un rectángulo = 2L + 2W

Donde L = longitud = 15 cm

W = Ancho = 10 cm

= 2 (15 cm) + 2 (10 cm)

= 30 + 20

= 50cm

Solve 2 ≤ 2x + 4 < 10 for x.

–1 ≤ x < 3
1 < x < 3
–1 < x < 3
1 ≤ x < 3

Answers

Answer:

-1 ≤ x  < 3

Step-by-step explanation:

2 ≤ 2x + 4 < 10

Subtract 4 from all sides

2-4 ≤ 2x + 4-4 < 10-4

-2 ≤ 2x  < 6

Divide all sides by 2

-2/2 ≤ 2x/2  < 6/2

-1 ≤ x  < 3

Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.

Answers

Answer:16,284

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer and Step-by-step explanation:

Mandy travels more miles.

We determine this by multiplying the distance from home by the number of trips.

For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.

For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.

Many travels 2 more miles in total than Matt.

#teamtrees #PAW (Plant And Water)

Answer:

mandy

Step-by-step explanation:

so mandy has 10 miles and 9 trips to school matt has 8 miles and 11 trips to school so mandy is 10x9=90

and matt is 11x8=88

mandy=90

matt=88

a telephone pole is 24 feet tall

Answers

Answer:i honestly dont know just trying to get points

Step-by-step explanation:

How many eighths does it take to equal 1/4 model

Answers

Answer:

2 eighths.

Step-by-step explanation:

Answer:

2 eighths

Step-by-step explanation:

1/8 + 1/8 = 2/8 or 1/4

He surface area of a piece of paper is 692 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.

Answers

Answer:

Surface area = 6.92 cm²

Step-by-step explanation:

Given the following data;

Surface area = 692 cm²

To convert the area in cm² to mm²;

Conversion:

10 mm to cm = 10/10 = 1 cm

1 mm² to cm² = 1/100 = 0.01 cm²

692 mm² to cm² = 692 * 0.01 = 6.92 cm²

Therefore;

692 mm² = 6.92 cm²

In conclusion, the surface area of the piece of paper is 6.92 square centimeters.

If b=3-2s and A= -2s^2+2s+3 find an expression that equals 2b+2A in standard form

Answers

2(3-2s)+2(-2s^2+2s+3)

I think this might be the answer you’re looking for so best of wishes and good luck!!

Find mZSGH if mZFGH = 108°

Answers

Answer:

22

Step-by-step explanation:

FGH - FGS = SGH

108 - 86 = 22

Answer:

∠ SGH = 22°

Step-by-step explanation:

∠ FGS + ∠ SGH = ∠ FGH , that is

86° + ∠ SGH = 108° ( subtract 86° from both sides )

∠ SGH = 22°

A purse regularly priced at $70 is on sale for 20% off. What is the scale price of the purse?

Answers

The answer should be $56

if the time is 7:32 what time will it be in 9 hours and 25 minutes?

Answers

Answer:

The time would be 4:59

Step-by-step explanation:


Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.​

Answers

Step-by-step explanation:

(12^0)(12^6)

1 ×12⁶. (a⁰=1, a is a number)

=12⁶

can someone help me I don't understand ​

Answers

Answer:

(a) 165 m/min

(b) 107.14m/min

Step-by-step explanation:

The slope of the distance time graph gives speed.

Here, the speed of the segment A is

[tex]v_A= \frac{900-0}{4-0}=225 m/min[/tex]

The speed of segment B is

[tex]v_B= \frac{1500- 900}{14-4}= 60 m/min[/tex]

(a) The change in speed is

= 225 - 60 = 165 m/min

(b) The average speed is defined as the ratio of total distance to the total time.

So, the average speed is

[tex]= \frac{1500}{14}= 107.14 m/min[/tex]

Financial software can do all of the following except ____.


A.
prepare your taxes


B.
apply for loans


C.
keep track of expenses


D.
monitor your savings

Answers

Answer: Apply for loans

Step-by-step explanation:

I just took the quiz off gradpoint :) trust me its right!!!!


For the function Rx) = 1/x+1 which of these could be a value of F(x) when x is
close to -1
O A. -0.01
OB. 0.01
O c. 1
O D. -10,000

Answers

Answer:

D. -10000

Step-by-step explanation:

you really need to copy or type the question better.

I can only assume what you really mean.

I guess, you want to say that F(x) = 1/(x+1)

when the value for x gets close to -1, the whole expression gets close to 1/0, which would bring numbers with larger and larger absolute values, leading to infinity.

you also did not say from what direction we are getting closer to -1.

we could come from -2 and move closer and closer to -1.

in this case (x+1) would always be smaller than 0 (negative sign).

or we could come from +1 and then 0 and move towards -1, in which case (x+1) would airways be bigger than 0 (positive sign).

anyway, when being closer and closer to -1, the absolute value of the resulting functional values will get bigger and bigger.

the only answer option with a larger absolute value is D (-10000).

so, that had to be the solution, and it also means that we are coming from -2 to -1, and the sign is negative.

which of the following is a geometric sequence?

Answers

Answer:

D

Step-by-step explanation:

notice how everything goes up by 3? that's a sequence.

Make 'r' the subject of this formula: 3r - 5 = p

Answers

Answer:

hey I am not about what the question says but I think this is the answer:

3r=p+5

so the subject is 3r

3r - 5 = p
3r = p + 5
r = p + 5/3

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))

Answers

Answer:

f(g(4)) = 213

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction NotationComposite Functions

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 8x + 5

g(x) = 7x - 2

Step 2: Find f(g(4))

Substitute in x [Function g(x)]:                                                                         g(4) = 7(4) - 2Multiply:                                                                                                             g(4) = 28 - 2Subtract:                                                                                                            g(4) = 26Substitute in function value [Function f(x)]:                                                      f(g(4)) = 8(26) + 5Multiply:                                                                                                              f(g(4)) = 208 + 5Add:                                                                                                                   f(g(4)) = 213

[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]

Here,

f(x) = 8x + 5 and g(x) = 7x - 2,

we have to find the f(g(4))

1st we have to solve the g(x)

g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26

Now substitute the functional value,

f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213

.°. The value of f(g(4)) is 213.

Which of the following are necessary

Answers

Step-by-step explanation:

B) opposite sides are congruent !!!!!!

consider the polygon shown. determine the value of y.

Answers

Answer:

70 degrees

Step-by-step explanation:

It's a whole 540 degrees

So y = 70 degrees

Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.

What number should Carl replace y with?

Answers

I’m pretty sure it should be 2 since 6x3 is 18 and you add the 4 which makes it 22.

y=2

Find y.
Round to the nearest tenth:
31°
у
х
400 ft
y = [ ? ]ft

Answers

y equals 240.3 ft. This is because the bottom angle of the triangle is an alternate interior angle to 31 degrees, so it is also 31 degrees. You can then create the equation tan31=y/400. To find y multiply each side by 400 and you’ll get 240.344

What is the simplified value of the exponential expression 273?

1
Ο Ο Ο
9

Answers

Answer:

The answer is 3

For the steps, Im leaving it blank for you to figure it out first.

If you really need help, ask anytime and I'll reply as soon as i can :)

Math.........




I need

Answers

Answer:

She had to had like 20 since (-17-3)= -20 right the question asked how much she had before, she had 20 if not 28, since the mother gave her another twenty but as a result, in the beginning, she had around 28 dollars in order to spend 17 on a book and 3 on a cupcake so she still had 8 dollars, and the 20, well the mother handed her 20.

(I hoped I made sense, and that I helped!:)

Lori has 12 1/2 pounds of flour. She needs 1 3/4
pounds of flour
for each batch of cookies. How many batches can Lori make?

Answers

she can make 7 1/7 batches of cookies :)

D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is: ​

Answers

9514 1404 393

Answer:

  9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AE/AD = EC/DB

  (x+3)/(x -1) = x/(x -3)

  x^2 -9 = x^2 -x . . . . . . . cross multiply

  x = 9 . . . . . . . . . . . add x+9-x^2 to both sides

Use the drawing tools to form the correct answer on the graph
Graph the line that represents this equation:
y +2 = 1/2 (x + 2)

Answers

Step-by-step explanation:

answer is in photo above

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

The graph of the line y +2 = 1/2 (x + 2), can be drawn as shown below. Therefore, the line will be a straight line passing through (0,-1) on the y-axis, and (2,0) on the x-axis.

Learn more about Equation of Line:

https://brainly.com/question/21511618

#SPJ2

-6d - 4e + 4 + 4d + 6e - 6

Answers

Answer:

-2d + 2e - 2

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variable as well as same amount of said variables. Set the expression:

4d - 6d + 6e - 4e + 4 - 6

(4d - 6d) = -2d

(6e - 4e) = 2e

(4 - 6) = -2

-2d + 2e - 2 is your answer.

~

Rearrange the question:

-6d+4d-4e+6e+4-6

Solve the equation:
The answer

=-2d+2e-2
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