A rectangular auditorium seats 1855 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.

Answers

Answer 1

Answer:

53 seats per row

Step-by-step explanation:

Given that:

Capacity = 1855

Let number of rows = x

Hence, Number of seats per row = x + 18

The Area of auditorium = capacity

Area of rectangle = Length * width

1855 = x * (x + 18)

1855 = x² + 18x

x² + 18x - 1855 = 0

x² + 53x - 35x - 1855 = 0

x(x + 53) - 35(x + 53) = 0

(x - 35) = 0 or (x +53) = 0

x = 35 or x = - 53

Hence x = 35 ; (x can't be negative)

Number of seats per row = 35 + 18 = 53

Using a quadratic equation cal


Related Questions

Answer pls question in the picture

Answers

Hi !

I’m sorry I won’t be doing the solving for you because it should be easy but I will give you the logic in case you don’t know how to solve them...

Please look at the picture below

According to the theorem we know that DE is:

DE = 1/2 ( BC)

Solve for X then find the values.

Note: remember that if you want to make your life easy multiply both side by 2 to get rid of the 1/2.

What is the opposite of 6.6

-6.8
6.8

Answers

Answer:

-6.6

Step-by-step explanation:

I don't really understand the question but I believe it is correct.

have a good day

6.7 is the answer u welcome

An equilateral triangle has a side length of 1.4x + 2 inches. A regular hexagon has
a side length of 0.5x + 2 inches. The perimeters are equal. What is the side length
of the triangle? What is the side length of the hexagon? Show your work.

Answers

Answer:

24 i can be rong

Step-by-step explanation:

525 people visited the mall today and 68% of these people made a purchase. How many people made a purchase?
Group of answer choices

Answers

357 people made a purchase

The number of people made a purchase: 357

What is the percentage?

A number can be expressed as a fraction of 100 using a percentage. It is frequently used, particularly in financial and statistical contexts, to depict ratios and proportions in a more practical and intelligible way. For instance, 50% denotes 50 out of 100, or half of a specified amount. It is represented by the letter "%".

To find out how many people made a purchase, we need to multiply the total number of visitors by the percentage of visitors who made a purchase.

Number of people who made a purchase = Total number of visitors × Percentage of visitors who made a purchase.

Percentage can be converted to a decimal by dividing by 100.

Number of people who made a purchase = 525 × (68/100)

Number of people who made a purchase = 357

Therefore, 357 people made a purchase.

To know more about Percentage check:

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Maria tenia 6.500kg de patatas. Las envaso en sacos de 25kg y los puso a la venta a 30$ cada uno. Vendio la mitad de los sacos a ese precio y el resto los vendio todos a 2$ menos cada saco. ¿ Cuanto dinero obtuvo?

Answers

Responder:

$ 7540

Explicación paso a paso:

Dado que:

Kilogramos totales de papa = 6500

Número de kilogramos por paquete = 25

Precio por paquete = $ 30

La mitad se vendió a $ 30

El resto se vende a ($ 30 - $ 2)

Número total de paquetes de 25 kg:

6500 kg / 25 kg = 260 paquetes

Por lo tanto, paquete total = 260 paquetes

La mitad se vende a $ 30:

(260/2) * 30

130 * $ 30 = $ 3900

Resto vendido a $ 28:

(260 - 130) * $ 28

130 * $ 28 = $ 3640

Cantidad total realizada:

$ (3640 + 3900) = $ 7540

An 12-ounce bottle of orange juice costs $2.64. What is the cost of the orange juice per ounce?

Answers

Answer:

22 cents per ounce

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups. After the party, 4 cups of juice were left over. At the party, how many cups did people drink? Show your work and complete the explanation of how you found your answer.

Answers

Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

The average teenager spends 2.9 hours a day watching television. How much time do they spend each week watching television?

Answers

Answer:They spend 8 hours

Step-by-step explanation:2.9 times 3

write and solve an equation to find the number.
The perimeter of a patio is 64 feet. The length (L) is 10 feet longer than the width (W). What is the width of the patio?

Answers

9514 1404 393

Answer:

  11 feet

Step-by-step explanation:

Let L and W represent the length and width of the patio. Then ...

  L = W + 10

  P = 2(L + W)

Substituting for the known values, we have ...

  64 = 2((W +10) +W)

  64 = 4W +20 . . . . simplify

  44 = 4W . . . . . . . . subtract 20

  11 = W . . . . . . . . . . divide by 4

The width of the patio is 11 feet.

There is an animal farm where chickens and cows live. All together, there are 59 heads and 184 legs. How many chickens and cows are there on the farm?​

Answers

Answer:

There are 33 cows and 26 chickens

Step-by-step explanation:

Problem Solving

This problem can easily be solved by using equations, but it's more fun to solve it through pure reasoning and arithmetics.

Let's imagine there are no cows on the farm. Just chickens. 59 chicken heads mean 59*2 = 118 legs.

Now let's take one chicken out and one cow in. The number of heads will remain the same, but now there are two more legs: 120 legs.

We are closer to the answer. The trick is to calculate how many chickens we have to exchange for cows knowing each change means two more legs.

Since we initially had 118 legs, we need to add 184 - 118 = 66 more legs.

62 more legs are 66/2 = 33 changes or 33 cows.

The number of chickens is 59 - 33 = 26

Answer: There are 33 cows and 26 chickens

Find the shortest distance from point A to the given line.

y = 3x +1 ; A (3,0)

What is the shortest distance from point A to the line?

Answers

Step-by-step explanation:

please i work on by paper worksheet, see it

how can i work it

What is the discriminate?

Answers

so it’s basically asking for the difference

Median of 40,2,31,15,29,16 and X is 21. then X= ?​

Answers

Answer:

Let us arrange this data in ascending order.

2, 15, 16, 29, 31, 40.

x has to be in the middle if it is the median.

So it becomes 2, 15, 16, x, 29, 31, 40.

There are seven numbers. The median is the 4th one.

The median is given as 21.

So x = 21.

HOPE IT HELPS YOU, PLS MARK IT AS THE BRAINLIEST :D

1) Slope =-1, y-intercept = 0
3.
1
A) y =
B) y=-1
4
4
ID) -
1
C) y = -x
D) y = -x +
4

Answers

Answer:

1. C       2.D       3.D        4.A

Step-by-step explanation:

The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.

The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.

The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.

And the fourth one is A because there is no slope, so y would just equal 3.

Larry answered 8 out of every 10 questions on a test correctly. The test had 70 questions. How many correct answers did Larry give?----- What is the first complete ratio? (numbers)​

Answers

Answer:

56

Step-by-step explanation:

70 / 10 = 7 > 8 * 7= 56 hha hope this helps

HELP PLEASE
given the relation y=x^2 +3 if the input is 4 what is the output

Answers

Answer:

19

Step-by-step explanation:

x = 4

y = 4^2 + 3 = 16 +3 = 19

I can’t solve or bring myself to understand it :/ I’m having difficulties

Answers

Answer:

x = 50

Step-by-step explanation:

Since the output is 0, x^2 is 2500 but written differently.

Just take the square root of 2500, which is 50.

50^2 = 2500

2500 - 2500 = 0

Maria paid $240 for a table set after a discount of 40%. What was the original price?

Answers

Answer:

The original price was 400 dollars.

Step-by-step explanation:

400 times 0.4 equals 160. 400 minus 160 equals 240. Therefore the answer is 400 dollars.

The total cost C for p pounds of ham if each pound cost $3.55

Write a function rule using C and p as variables.

Answers

Answer:

If each pound costs $5.46, then

p

pounds can be multiplied to 5.46 to find the costs of different amounts of lithium.

Total cost: C

5.46

p

=

C

Step-by-step explanation:


Help? I would appreciate it

Answers

Answer:

$6.50 per candle

Step-by-step explanation:

19.50 / 3 = 6.50

Answer:

$6.50

Step-by-step explanation:

$19.50 divided 3 is 6.50

SOLVE THISSS (3x+6)/3=-1

Answers

Answer:

x = −3 TRUSSSSSSTTTT MEE

Step-by-step explanation:

THE PERSON ABOVE ME SAID -3

I bet no one can solve this

(+)^=∑24_(=0)^▒〖(¦) ^ ^(−) 〗

HAHAHAAAAAAAAAAAAA

Answers

Answer:

free points nice

Step-by-step explanation:

What's this? Cute. Thnx for the freee pointttssss <3

8) Choose which postulate proves the triangles congruent. *



A) SAS
B) SSS
C) AAS
D) ASA
E) HL

Answers

E done this before be safe

Jackie wants to purchase a class ring. She found the same ring for $225 at three different stores. The discounts the stores are offering are shown in the table below.

Jewelry Stores

Store Discount
1 25%
2 $25
3 1/3

Which statement about the sales price of the ring is true?
A. Store 1 and Store 2 have the same sales price of $200.
B. Store 3 has the best sales price of $150.
C. Store 1 has the best sales price of $168.75.
D. Store 3 has the best sales price of $75.00.

Answers

Answer:

A

Step-by-step explanation:

im not sure tho

1.) A man invested $600 at 8% per annum for 5 years. Calculate: a.) The simple interest payable b.) The total amount of money the man collected at the end of the 5-year period. 2.) Mr. Ford invested $12 450 in a bank at 7.25% per annum simple interest for 6 years. Calculate: a.) The interest he was paid b.) The total of amount of money he would have received at the end of the period of investment. 3.) The simple on $15 000 for 9 years is interest is paid when $800 is invested for 5 years.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

[tex]\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+ \text{Simple Interest}[/tex]

In question (1):

[tex]Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times 8 \times 5)}{100}\\\\ \to 240[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 600 + 240 \\\\= 840[/tex]

In question (2):

[tex]Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6[/tex]

In point a:

[tex]\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times 7.25 \times 6)}{100}\\\\ \to 5,415.75[/tex]

In point b:

[tex]\to amount = principle \ +\ simple \ interest[/tex]

                 [tex]= 12,450 + 5,415.75 \\\\= 17,865.75[/tex]

The 3 question is incomplete, that's why it can't be solved.

If Frances can paint 1/5 of a wall in 20 minutes, how long will it take her to paint a room with 4 walls?

A. 60 minutes
B. 100 minutes
C. 400 minutes
D. 500 minutes

Answers

Answer:

C. 400 minutes

Step-by-step explanation:

20 *5 = 100

she needs 100 minutes to paint 1 wall

so for 4

100*4 =400 minutes

Select the correct answer from each drop-down menu.
Aerial's grandmother gave her $5,500.00 to save for her college education. She went to the bank to open a savings account. The bank told her they had two options available.

Account A will pay 5.5% simple interest until the account is closed.

Account B will pay 4.5% simple interest and if the account is left open for longer than 3 years, then at the end of the third year a bonus account will be opened with $250 that also earns 4.5% for the remainder of the time the initial account is open. When the initial account is closed, the bonus account will be closed as well and the money from the two accounts will be combined.

If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account
is the better choice earning her
more.

Answers

If Aerial is planning on leaving the money in the account for 4 years and then withdrawing all funds, then account B is the better choice earning her $41.25 more.

Find the range of the function y=3/4x+17 when the domain is {-12, -4, 8}.

Answers

Answer:

77

Step-by-step explanation:

The range of the given function y=3/4x+17 is {8, 13.4}

What is domain and range ?

The bis the set of possible input values, and the range is the set of all possible output values of the graph.

The given equation is :

y=3/4x+17

the domain of the function = {-12, -4, 8}

Now, for x = -12 :

y = 3/4 (-12) + 17

y = -9 + 17

y = 8

Now, for x = -4.8 :

y = 3/4 (-4.8) + 17

y = -3.6 + 17

y = 13.4

Therefore, the range of the given function is {8, 13.4}

Learn more about the domain and range  here:

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area of a square field is 1600 square metre. find the cost of boundary wall if the rate of per metre is Rs. 500​

Answers

Answer:

Rs. 20,000

Step-by-step explanation:

the boundary wall will act as a perimeter.

the perimeter of a square field is 4S( S = side)

S x S = area

S2 = area

S =

square root of S2= square root of area

square root of S2 = S

S = square root of area

S = square root of 1600

S = 40m

perimeter = 4 x S

                 = 4 x 40

                 = 160m

1m = rs. 500

40m = 40m x rs.500

                     1m

=Rs. 20,000

HELP ILL GIVE BRAINLIEST AND LOTS OF POINTS
Use the formula d = rt to find the distance, rate, or time
24. r = 5, t = 12

25. d = 24, t = 8

Answers

Answer:

24) 60,   25) 3

Step-by-step explanation:

d=r*t

5*12=60

24) 60

d=r*t

to find rate:

d/t=r

24/8=3

25) 3

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Given m||n, find the value of x; 15PTS PLEASE HELP ASAP!(dont write random answers pls)look at the pic attached: NEED HELP DUE TODAY!!!! The graph shows a proportional relationship.Which equation matches the graph? A. y = 1/4xB. y = 4xC. y = 12xD. y = x Graph the line y=-1/4x+6 help a girl out plz!! im confused A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.Which statement best describes the depth of the fish, given this equation?From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.From a starting position of 7 meters below sea level, the fish is descending 3 meters per second. In the passage from The Heart Is a Lonely Hunter, how do Mick's thoughts abouther father help to develop her character?A. by showing that music has always had a powerful effect on herB. by showing that her family has always supported her goalsC. by showing that she has always gotten what she wantsD. by showing that she has always been easily frustrated Help with both please the picture has the instructions:) In President Barack Obama's 2009 inaugural State of the Union address, he states, "Our citizens, seared by the memory of those we have lost, know too well the price that is paid for liberty."What rhetorical device did he use in this statement?assonancehyperbolefigurative languageirony The graph shows the number of students enrolled in a high school over a seven years period. 5. The following cell structures are located within cells that make proteins. Which descriptionbest explains the relationship among these cell structures in making a protein?nucleus ribosome endoplasmic reticulum (ER)A. nucleus makes protein protein winds through the ER protein folds into active shapeB. nucleus directs ER to assemble the protein ribosomes surround protein proteinfolds into its active shapeC. ER creates protein DNA in the nucleus codes for ribosomes to surround protein protein folds into its active shapeD. DNA in nucleus codes for protein protein assembled in ribosomes and moves to ER protein folds into its active shape THIS IS THE SECOND ONE (Sorry for caps :>) A hydrate of CoCl2 has a mass of 15.80 g before heating. After heating the mass of the anhydrous compound is found to be 9.32 g explain how you would determine the formula of the hydrate and then write out the full name of the hydrate These points are linear. Find the slope. Explain a way that president Jefferson was known for betraying his own ideas How many oxygen atoms are there inFe203? the absolute value of 15.3 is the opposite of 15.3? Which statement best explains the relationshipbetween lines FG and HJ?O They are perpendicular because their slopes areequal.O They are perpendicular because their slopes arenegative reciprocals.They are not perpendicular because their slopesare equal.They are not perpendicular because their slopesare not negative reciprocals. What does a good narrative conclusion do?