An auditorium has 51 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 6 more seats than the previous row.
1. How many seats are in row 12 ,136?
2. How many seats are in the auditorium?

Answers

Answer 1

Answer:

seats are in row 12 is 136

seats are in row 136 is 880

seats are in the auditorium is 1071000

Step-by-step explanation:

given data

rows of seat = 51

first row seats =  70

each row seats = 6

to find out

How many seats are in row 12 ,136 and How many seats are in the auditorium

solution

it is AP as 70 , 76 , 82, 88 ............

here A = 70 , d = 6

for n = 12 and 136

so An = a + (n-1)d       .........1

A(12) = 70 + (12-1)6

A(12) = 136

and

A(136) = 70 + (136-1)6

A(136) = 880

and

for total seat we get here Sn for 51 row

Sn = [tex]\frac{n}{2}[/tex] × [ 2a(n-1)d]     ...........2

put here value

Sn = [tex]\frac{51}{2}[/tex] × [ 2(70)(51-1)6]  

Sn = 1071000


Related Questions

Taylor knows there are 5,280 feet in a mile and wants to find out how many inches that
is.

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In inches it would be 63,360 in.

Will give brainliest if you answer no 1

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Answer:

74

Step-by-step explanation:

Manny plans to save 1/12 of his salary each week. If his weekly salary is ​$​420 find the amount he will save each week.

Answers

Answer:

$37.50

Step-by-step explanation:

1/12 × 450 = 37.50

Answer:

35

Step-by-step explanation:

you can do this problem two different ways

you can multiply 420 by 1/12

OR

you can divide 420 by 12

they both equal 35

A small cone has a diameter of 6 cm and a height of 7 cm. A large cone has a diameter of 12 cm and a height of 9 cm. What is the approximate difference in the volumes of the two cones?

Answers

Answer:

Solution in photo

Step-by-step explanation:

r+-3.5=5.3 solve for r

Answers

Answer:

8.8=r

Step-by-step explanation:

You can solve the equation backwards and do 5.3+3.5=8.8

To check 8.8-3.5=5.3 (OR 8.8 + (-3.5) = 5.3

r+-3.5 = 5.3
r-3.5=5.3
+3.5 +3.5
r=5.3+3.5
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Hope I was able to help you! :)

can you help me solve this question?​

Answers

Answer:

A. 9(x + 8) = 9(x + 12)

Step-by-step explanation:

Simplify the probelm;

9(x + 8) = 9(x + 12)

Distribute;

9x + 72 = 9x + 108

Inverse opreations;

9x + 72 = 9x + 108

-9x          -9x

72 = 108

This statement is not true, hence the equation has no solutions;

108 is the answer 100+8 = 108 it is easy

A ball is thrown from an intial height of 5 feet with an intial upward velocity of 17 ft/s. The ball's height h in feet after t seconds is given by the following.

h=5+17t-16t^2

Find all values of t for which the ball's height is 9 feet.
Round your answer(s) to the nearest hundredth.

Answers

Answer:

-16t²+17t+7=11

==>16t²-17t+4=0

Δ=17²-4*4*16=33

==>t= (17-√33)/32=0.351732... (s)≈0.35 (s)

or t=(17+√33)/32=0.710767 (s)≈0.71 (s)

Step-by-step explanation:

plz give brainliest

The formula P = 4s gives the perimeter P of a square with side length s.

How much greater is the perimeter of a square with a side length of 6
1/2
inches than a square with a side length of 6 inches? HURRY

Answers

It would be bigger than 1/2 inches because they are simply asking for the difference which is 5 1/2-5= 1/2.

Rectangle ABCD is shown on the coordinate grid below.
Which sequence of reflections will map rectangle ABCD onto itself?
A. a reflection over the −axis followed by a reflection over the −axis
B. a reflection over the −axis followed by another reflection over the −axis
C. a reflection over the line = 2 followed by a reflection over the line = 2
D. a reflection over the line = 4 followed by a reflection over the line = −4

Answers

Answer:

Step-by-step explanation:

It’s B I did the test

Option {C} : a reflection over the y - axis followed by another reflection over the y - axis is the correct alternative of the given ones.

What is reflection of graph?Reflections of graphs involve reflecting a graph over a specific line.Reflecting functions are functions whose graphs are reflections of each other

Given is a Rectangle ABCD as shown on the coordinate grid.

In order to map the rectangle ABCD onto itself, we will reflect it over the y − axis followed by another reflection over the same y − axis.

Therefore, option {C} : a reflection over the y - axis followed by another reflection over the y - axis is the correct alternative of the given ones.

To solve more questions on graph reflections, visit the link below -

https://brainly.com/question/7835414

#SPJ2

(05.02)How many triangles can be made if one angle is 95° and another angle is acute?
1
2
More than 2
None​

Answers

Answer:

both the remaining angle will acute

Answer:

More than 2

Step-by-step explanation:

Photo attach please help

Answers

Answer:

Option D: 5√5 is the correct answer.

Step-by-step explanation:

Given that:

√20 + √45

These can also be written in simplified form;

√5*4 + √5*9

We will take square root of 4 and 9.

The square root of 4 and 9 is,

√4 = 2

√9 = 3

Thus,

2√5 + 3√5

Adding the roots,

5√5

Hence,

Option D: 5√5 is the correct answer.

Jennifer had some money in her pocket. She spent $1.35, which left her with $2.30. Write an equation or an inequality to find the original amount of money she had in her pocket.

Answers

Answer:

Equation: X-1.35= 2.30

Value of X: x=3.65

Step-by-step explanation:

You can choose whatever variable you want to represent the original amount of money Jennifer had in her pocket. I decided to use X as my variable.

If X represents the original amount of money Jennifer had in her pocket, then I can write this equation:

X-1.35= 2.30

Essential what this equation shows is that Jennifer spends $1.35 of what she originally has, which is x. After she spends that she's left with $2.30. This is how we solve for x, also known as the original amount Jennifer had in her pocket:

X-1.35= 2.30

(we will add 1.35 to each side because we what to balance out the equation and the inverse operation of subtraction is addition)

X= 3.65

So Jennifer originally had $3.65 in her pocket before she spent the $1.35

( Hope this helps :). Let me know if there's any confusion in my answer/explanation)

6/7+9/14 simplify
The problem

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

We need the denominator to be the same so we multiply 6/7 by 2/2 to get 12/14. Now we add 12/14+9/14 which is 21/14. We can simplify 21/14 to 3/2, or 1/5 in decimal form. If you need it in mixed number form, it is 1 1/2

Step-by-step explanation:

[tex] \frac{6}{7} + \frac{9}{14} \\ LCM \: of \: 7 \: and \: 14 \: is \: 98)\\ = \frac{(84 + 63)}{98} \\ = \frac{147}{98} \\ = \frac{3}{2} \\ = 1 \frac{1}{2} [/tex]

5 ten millions = to how many millions ?

Answers

Answer: 50
Explanation: 5 x 10 = 50

please help!!! k need this answer

Answers

I would say the answer is d
Sorry if I’m wrong

this due tomorrow please help!!!!

Answers

the answer is (c, 6)
The answer is C


Hope this helps

Which sentence is true about a right triangle
A. One angle measures 90
B. All angles measure 90
C. All angles measure more than 90
D. All angles measure less than 90
E. One angle measures more than 90

Answers

Answer:

a

Step-by-step explanation:

only one angle measure 90⁰ while the other two add up to 90, making the total 180⁰

Answer:

The answer is A.

Step-by-step explanation:

A right angle is always one 90 degree angle

Determine whether each relation is a function.

Answers

Answer:

Each relation is a function because none of the domain repeats.

each relation is a function because none of the domain and range pairings repeat

Four less than three times a number is 14

Answers

3x-4 = 14

3x - 4 +4 = 14 + 4

3x = 18

3x/3 = 18/3

x = 6
4< 3•14 Then just multiply

Frank made $75 for 5 hours of work,
At the same rate, hou much would he make for 9 hours of work?

Answers

Answer:

Frank will make $135, for 9 hours of work.

Step-by-step explanation:

A random sample of 27 fields of rye has a mean yield of 43.1 bushels per acre and standard deviation of 5.31 bushels per acre. Determine the 80% confidence interval for the true mean yield. Assume the population is approximately normal. Step 2 of 2 : Construct the 80% confidence interval. Round your answer to one decimal place.

Answers

Answer:

The 80% confidence interval = (41.8, 44.4)

Step-by-step explanation:

From the above question, the random number of samples is 27, this sample size is below 30, hence it is small.

To solve for this, we have use t score instead of confidence interval.

Degrees of freedom = 27 - 1 = 26

t score for 80% confidence interval = 1.315

The 80% confidence interval = Mean ± t score × standard deviation/√n

Mean = 43.1 bushels

Standard deviation = 5.31

Hence,

43.1 ± 1.315 × 5.31/√27

43.1 ± 1.3438116191

Hence:

43.1 - 1.3438116191

= 41.756188381

≈ 41.8

43.1 + 1.3438116191

= 44.443811619

Approximately ≈ 44.4

Therefore, the 80% confidence interval = (41.8, 44.4)

What is the value of z?

Answers

Answer:

68°

Step-by-step explanation:

Every figure must sum 180°(Sides-2) degrees

Example: For a triangle (3 sides) 180°(3-2) => 180°(1) =>180°

In this case: 5 sides 180°(5-2) => 540°

So all the angles (5) must sum 540°

Mathematically expressed as:

[tex](119)+(z)+(2z)+(70)+(2z)+(11)=540\\119+z+2z+70+2z+11=540\\200+5z=540\\5z=540-200\\5z=340\\z=\frac{340}{5}\\z=68'[/tex]

Lets see changing every Z by 68...

119+68+2(68)+70+2(68)+11

119+68+136+70+136+11=540°

If x = 9, what is the value
of 7x + 4?

Answers

Answer:

67

Step-by-step explanation:

7x9=63

63+4=67

Answer:

67

Step-by-step explanation:

If x = 9, our new equation is:

7 x 9 + 4

We use PEMDAS to get:

7 x 9 = 63

63 + 4 = 67

So 63 is your answer

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

To get the total amount ask the counselor

Answer:

1200

Step-by-step explanation:

18/30 is the ratio of the girls compared to the class

you can simplify it to 3/5.

the equation to solve how many girls are in the school is 3/5= x/2000

cross multiply to get 5x=6000

x=1200

The value of a car decreases over time.
This year, Orlando's car is worth $35 000.
If the value of Orlando's car decreases by
7 %, what will his car be worth next year?
A.$34993
B.$2450
C.$5000
D.$32,550

Answers

Answer:

M

Step-by-step explanation:

To m

Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 2 units. What are the coordinates of your position

Answers

Answer:

[tex]B = (x+4,y-2)[/tex]

Step-by-step explanation:

Let the current position be A:

[tex]A = (x,y)[/tex]

Required

Determine the new position

First, you move 4 units to the right.

This is represented as [tex]x + a[/tex]

Where a is the number of units to the right

In this case:

[tex]a = 4[/tex]

So, we have: [tex]x + 4[/tex]

Then you move 2 units downwards

This is represented as [tex]y - b[/tex]

Where b is the number of units downwards.

In this case:

[tex]b = 2[/tex]

So, we have: [tex]y - 2[/tex]

So, the new position (B) is:

[tex]B = (x+4,y-2)[/tex]

​6:9​
9:12 which is greater?

Answers

Answer:

9:12 is bigger

Step-by-step explanation:

You need to make the fraction denominator equal

(6:9)

6*12=72

9*12=108

72/108

(9:12)

9*9=81

12*9=108

81/108

81 is bigger than 72

4.8 + 2.2w − 1.4w + 2.4

Answers

Answer:

7.2 + 0.8w

Step-by-step explanation:

combine like terms. Like terms have same variable with same power.

2.2w and (-1.4w) are like terms & 4.8 and 2.4 are like terms.

4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w

                                      = 7.2 + 0.8w

Answer:

7.2+0.8w

Step-by-step explanation:

4.8+2.2w-1.4w+2.4

4.8+2.4=7.2   2.2w-1.4w=0.8w

Xavier start 5 feet away from the motion detector. He then walks away from the detector at a rate of 0.5 ft./s for four seconds. He remains still for two seconds, and then walks towards the motion detector at a rate of -2 ft./s for three seconds. How far in feet Xavier from the motion detector when he finishes his walk?

Answers

Answer:

1 ft away from the motion detector.

Step-by-step explanation:

To calculate Xavier's distance we can assume that the motion detector would be represented as 0ft. Now we simply need to create the arithmetic expression for every step/action that Xavier performed. Finally, we would solve the expression to calculate Xavier's total distance from the motion detector.

5ft + (0.5ft * 4) + (-2ft * 3)

5ft + 2ft - 6ft

1ft

Finally, we can see that Xavier is 1 ft away from the motion detector.

2+2 pls help quick or ill fail sike awnser 7/3x = 2/3

Answers

Answer:

21/3 i think

Step-by-step explanation:

uh-

well 2+2 is 4 and 7/3x=2/3 is 2/7

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