A rectangular auditorium seats 2142 people. The number of seats in each row exceeds the number of rows by 9. Find the number of seats in each row.​

Answers

Answer 1

9514 1404 393

Answer:

  51

Step-by-step explanation:

Let s represent the number of seats in a row. Then the number of rows is (s-9) and the total number of seats is ...

  s(s-9) = 2142

  s² -9s +4.5² = 2142 +4.5² . . . . . complete the square

  (s -4.5) = √2162.25 . . . . . . . . take the positive square root

  s = 4.5 +46.5 = 51 . . . . . . . add 4.5

The number of seats in each row is 51.


Related Questions

URGENT HELP NEEDED ASAP
PHOTO ATTACHED
CALCULUS

Answers

Answer:

Option A

Step-by-step explanation:

From the piecewise function given in the picture,

f(x) = k³ + x     If x < 3

     = [tex]\frac{16}{k^2-x}[/tex]    If x ≥ 3

Here, function is discontinuous at x = 3

If the function is continuous at x = 3 then,

k³ + 3 = [tex]\frac{16}{k^2-3}[/tex]

(k³ + 3)(k² - 3) = 16

k⁵ - 3k³ + 3k² - 9 = 16

k⁵ - 3k³ +3k² - 25 = 0

By using a graphing tool we can get the point where k = 2.081.

Option A is the answer.

PLEASE HELP AWARDING A LOT OF POINTS
Art's swimming pool contains 20,000 gallons of water. He drains the pool at a rate of 5 gallons per minute. Write the equation that represents the number of gallons of water, y, remaining in the pool after x minutes.

Answers

Answer:

5x - y

Step-by-step explanation:

do you add or multiply when you do area ​

Answers

Answer:

either one will work.  

you can either multiply length times width or you can add all the sides together.

Step-by-step explanation:

hope this helps

have a good day

Answer:

mulitpy

Step-by-step explanation:

area= L x W

(Length x Width = Area)

What is the Estimate of 296.8

Answers

Answer:

The answer is 297

The ___ is the ratio of a length of the new figure to the corresponding length on the original figure

Answers

Answer:
scale factor

Explanation:
The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.

A new bank customer with $5,000 wants to open a money market account. The bank is offering a
simple interest rate of 1.5%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?​

Answers

Answer:

Amount of interest in 30 year = $2,250

Account balance after 30 year = $7,250

Step-by-step explanation:

Given:

Amount deposit P = $5,000

Simple interest rate = 1.5% = 0.015

Find:

Amount of interest in 30 year

Account balance after 30 year

Computation:

Interest = PRT

Amount of interest in 30 year = (5,000)(0.015)(30)

Amount of interest in 30 year = $2,250

Account balance after 30 year = P + I

Account balance after 30 year = $5,000 + $2,250

Account balance after 30 year = $7,250

Will be giving BRAINLIEST and 50 PTS!!! NO GIBBERISH OR LINKS PLEASSSSSE!!!

QUESTION IS IN ATTACHMENT

Answers

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Answer:

Either the US has the highest density and Denmark has the lowest or the other way around.

Id say its that the u.s. has the highest denmark has the lowest

Step-by-step explanation:

A number between 0 and 1, expressed as one number over another, is called a

Answers

Answer:

its called a frcaction

Step-by-step explanation:

Fraction po

#carryonlearning

If 3=7k and 7= m/2 then mk=

Answers

Answer:

Step-by-step explanation:

3=7k

Meaning k = 3/7

7=m/2

Meaning m = 7*2 = 14

Therefore mk = 3/7*14 = 6

The product of m and k i.e. mk is 6.

Algebraic terms usually consist of two or more variables with their arithmetic operations.

From the parameters given:

3 = 7k     ---- (1)

7 = m/2   ---- (2)

We are to determine mk

From equation (1), let's make (k) the subject, we have:

k = 3/7

From  equation (2), let's make (m) the subject, we have:

m = 7 × 2

m = 14

The product of m and k which is mk will now be:

= 14 × 3/7

= 2 × 3

= 6

Learn more about algebraic terms here:

https://brainly.com/question/1451099

what is 8,000 x 10 pls help

Answers

Answer:

80,000

Step-by-step explanation:

because you are just adding a extra zero

Choose the graph of the following function:
f(x) = 2 cos(3x)
Graph A
-4
Graph B
4
3
MAAILMA

Answers

Answer:

Graph B

Step-by-step explanation:

Let take a look of original graph, cos(x)

The amplitude of that graph is 1.

The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.

We need to find the x intercept.

[tex] \cos(0 ) = 1[/tex]

so

[tex]2 \cos(3(0)) = 2[/tex]

The graph should intersecting at point

0,2 so the answer is

Graph B

Answer:

B on edge

Step-by-step explanation:

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of miles.

Answers

Answer:

hello your question is incomplete below is the complete question

The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of 33 Honda Accords. Click on the datafile logo to reference the data. The estimated regression equation is Selling price = 20385.25049 - 0.03739 Mileage - 686.33668 age. Round your answers to the nearest dollar. a. Estimate the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.

answer :  ≈ $16144

Step-by-step explanation:

Determine the selling price of a four-year-old Honda Accord with mileage of 40,000 miles.

Given data :

Age= 4 year, Mileage=40,000 miles

Hence the selling price

= 20385.25049 - 0.03739 Mileage - 686.33668 age

=  20385.25049 - 0.03739(40,000)  - 686.33668 ( 4 )

= $16144.32

 

Vertices A (-1,1) and Vertices B (-4,1) of Square ABCD are shown below. What is the perimeter?

Hint: find the Vertices C and D first, then find the perimeter. A square is the same length all around!

Answers

Answer:

12

Step-by-step explanation:

Distance from (-4,1)to (-1,1) =|-4|-|-1|=3

Side of square =3

Since each side of square is equal.

3x4=12

If vertices A (-1,1) and vertices B (-4,1) of Square ABCD then  perimeter of the square ABCD is 12 units.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The distance between A and B is 3 units, so the distance between B and C must also be 3 units since the square has equal sides.

The coordinates of C are (-4, -2) since it is directly below B.

The distance between C and D is 5 units since it is a horizontal line between the x-coordinates of C and D.

The coordinates of D are (-1, -2) since it is directly to the right of C.

Now we have the coordinates of all four vertices

A (-1,1), B (-4,1), C (-4,-2), and D (-1,-2).

To find the perimeter, we add up the lengths of all four sides:

AB = BC = CD = AD

= √[(xB - xA)² + (yB - yA)²]

= √[(-4 - (-1))² + (1 - 1)²]

= 3

So the perimeter is P = AB + BC + CD + AD

= 3 + 3 + 5 + 3

= 14

Therefore, the perimeter of the square ABCD is 12 units.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ3

If you bought a lunch for $4.60 and the tax rate was 6%,
How much is the total owed?

Answers

Answer: It would be $4.88

In the polyhedron above x=5 mm, y=9 mm, and z=4 mm. The volume of the polyhedron is _____ mm3. Round your answer to the tenths place.

Answers

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

Find the circumference of the circle and round to the nearest tenth

Answers

okkkkkkkkkkkkkkkkkkkk

Answer: 13.8

Step-by-step explanation: (3.14)(4.4) round to the nearest tenth

What is the median of the set of data given below? 30, 16, 24, 28, 20, 20, 26​

Answers

Answer:

Hi! The answer to your question is 24

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer: 24

Step-by-step explanation:

for median you have to find the middle number just keep this in mind and you will do great have a wonderful day and god bless you for all of your days : )

A square flower bed that is 7 feet long is surrounded by a square lawn that is 17 feet long. What is the area covered by the lawn?​

Answers

Answer:

40

Step-by-step explanation:

7*4=28

17*4=68

68-28=40

Answer:

240 Sq Feet

Step-by-step explanation:

the flower bed is 7*7= so 49 Square Feet

The Lawn, including the garden is 17*17= 289 square feet

the lawn without the garden is 289-49= 240 sq feet

Solve the problem.
What is
Suppose the cost per ton, y, to build an oil platform of x thousand tons is approximated by f(x) =
112,500
x + 225
the cost per ton for x = 100?
$34,615.38
$900.00
$346.15
$50,000.00

NO LINKS

Answers

Um, I never learn this, sorry but I’m in online class

CAN SOMEONE PLEASE HELP ME

Answers

Answer:

isosceles

Step-by-step explanation:

Find the 97th of the arithmetic sequence 25, 29, 33, ...

Answers

Answer:

434

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 33-29 =29-25= 4        A1 =  25

when : n =97 you have the  97rd term  A97

so : A97 =25 +(97-1)(4)

A97 = 434

8. A music store sells used CDs for $9. They buy used CDs for $4. You have $50 to
spend and many old CDs. Write an equation in standard form that models how
many CDs you can buy in this situation.
1 Add file

Answers

Answer: 9x+4=50

Step-by-step explanation:

In this case, we're looking at how many you can buy, not how many CD's you own.

Write an equation of the line that passes through the pair of points. (-2, -3), (4,5)

Answers

Answer:

y=4/3x-1/3

Step-by-step explanation:

Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)

Answers

Answer:

Washing Powder

Step-by-step explanation:

Cost less and cleans better.

Answer:

The washing powder I think?

Step-by-step explanation:

The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closer to the length of this rectangle in feet?
A. 12.4 ft
B 13. 6ft
C 9ft
D 17 ft
I’m not sure which answer this is

Answers

The answer you would be looking for is A.12.4 feet. You can use the equation A^2+b^2=c^2 to solve for your x being length.
Making 4^2+b^2=13^2 or
16+b=169
Take 16 from both sides
B=153 then square root both sides
B^2 or x= 12.36 or 12.4 if you choose to round up as asked in the question.
I hope this helps!

1) The endpoints of AB are A(-3, 8) and B(4,5). If AB is
dilated by a scale factor or 2, what is the slope and length
of A'B?

Answers

The original length of AB is 7.62. If we dilate it with the scale factor 2, the length will be 15.23.

The slope of the line remains the same even if we dilate it, so it will remain 0.43.

(y2-y1/x2-x1)

Explanation: The answers are taken from by solving on the graph

What is the solution to the equation Vn= 3n-3+1?
On=-4, n = -1
O n=-1
n=1
n= 1, n = 4

Answers

Answer:

C

Step-by-step explanation:

if f(x)=x+3 and g(x)=2x^2 find (f+g)(x) and (f+g)(3)​

Answers

Answer:

Given f (x) = 2x, g(x) = x + 4, and h(x) = 5 – x3, find (f + g)(2), (h – g)(2), (f × h)(2), and (h / g)(2). This exercise differs from the previous one in that I not only have to do the operations with the functions, but I also have to ...

How do you find distance if 1/4 inch equals 2 miles and the other location is 3 3/4 inches aprt

Answers

Answer:

Step-by-step explanation:

7/4      is not the answer

Find how many 1/4 inches are in 3 3/4 inches:

There are four 1/4 inches per inch.

3 inches x 4 = 12, there are twelve 1/4 inches in 3 inches and there are three 1/4 inches in 3/4 inch.

So there are a total of fifteen 1/4 inches in 3 3/4.

Now multiply the total 1/4 inches by 2 miles.

15 x 2 = 30 miles total.

1. Solve: 9^2x + 1 = 9^3x – 2
x = ?

2. Solve: 18^x^2 4x+4
A. x=-2
B. x=7
C. x=-2 and x=7
D. no solution

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3

Answer:

C. x=-2 and x=7

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<33<3<3<3

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