A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$​185,400?

Answers

Answer 1

Answer:

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets

Step-by-step explanation:

A ​6000-seat theater has tickets for sale at ​$26 and ​$40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of ​$​185,400?

Let

x = number of tickets sold for $26

y = number of tickets sold for $40

x + y = 6000

x = 6000 - y

$26 × x + $40 × y= $185, 400

26x + 40y = 185400

Substitute

26(6000 - y) + 40y = 185400

156000 - 26y + 40y = 185400

Collect like terms

- 26y + 40y = 185400 - 156000

14y = 29400

y = 29400/14

y = 2100 tickets

x = 6000 - y

x = 6000 - 2100

x = 3900 tickets

Hence

x = number of tickets sold for $26 = 3900 tickets

y = number of tickets sold for $40 = 2100 tickets


Related Questions

An arithmetic sequence has a first term of 8 and sixth term of 38. What is the 50th term of this sequence?​

Answers

Answer:

302

Step-by-step explanation:

Tn=a+(n-1)d

38=8+[6-1)d

38-8=5d

30/5=d

6=d

Tn=a+(n-1)d

8+(50-1)6

=8+(49)6

302

Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will just have to pay for the jeans?

Answers

Answer:oyoyoyohkyhiibjgi

Step-by-step explanation:

ykhitrjhithihtrnht

Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15, where h represents the number of hours Michael worked. Sibiling Hours Worked Martin 2. 5h +3 Emillo 4(h – 2) Michael Mario 31 What was the total amount the siblings earned?​

Answers

Answer:

I couldn't find out how many hours Michael worked but the total amount is $1504.50

Step-by-step explanation:

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Answers

Answer:

C ≈ 18.85yd

Step-by-step explanation:

7x – X – 1=4-7x + 21

Answers

Answer:

X=2

Step-by-step explanation:

Which of the following shows (2x + y) 4 (4 is small) In expanded notation?

Answers

Answer:

8x+4y

Step-by-step explanation:

so use the distributive property and multiply 4 into (2x+y), so you get

(2x*4) + (y*4) = 8x + 4y

hope this helped

Hailey is going to use a computer at a Internet cafe. The cafe charges $1.50 for every minute using a computer on top of an initial charge of $4. Make a table of values and then write an equation for C, in terms of t, representing the total cost of using a computer for t minutes at the Internet cafe.

Answers

Answer:

The equation is C(t) = 1.50t + 4.00 and the data table is below.

Step-by-step explanation:

We are given that a cafe charges $1.50 for every minute that someone uses the internet. The cafe also charges an initial $4 fee to use the internet.

We need to find a function, in terms of t, that will find these values.

We can treat this as a linear equation. If we initially pay $4, this is acquired before we pay the fee every minute. Therefore, this would be our y-intercept at x = 0. Our first coordinate is (0, 4).

Secondly, if we are charged every minute, this would be a recurring payment and therefore we would spend $1.50 after each minute elapses. This gives us our slope: 1.50 or [tex]\frac{3}{2}[/tex].

Therefore, we can set up our function.

C is the total cost and t is the time, in minutes, that internet is used at the cafe. Our equation can be set up as [tex]C(t) = 1.50t + 4.00[/tex].

Now, we can create a table of values for t = 0 to t = 5 to determine what C(t) is at each of these prime intervals.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} a & 0 \\ \cline{1-2} b & 1 \\ \cline{1-2} c & 2 \\ \cline{1-2} d & 3 \\ \cline{1-2} e & 4 \\ \cline{1-2} f & 5 \\ \cline{1-2} \end{array}[/tex]

This is what our table looks like, but we need to fill the C column. Therefore, we can use substitution of our t-values into the equation and solve for C.

[tex]\bullet \ \text{For t = 0,}[/tex]

[tex]C(0) = 1.50(0) + 4\\\\C(0) = 0 + 4\\\\C(0) = 4.00[/tex]

[tex]\bullet \ \text{For t = 1,}[/tex]

[tex]C(1) = 1.50(1) +4\\\\C(1) = 1.50 + 4\\\\C(1) = 5.50[/tex]

[tex]\bullet \ \text{For t = 2,}[/tex]

[tex]C(2) = 1.50(2) + 4\\\\C(2) = 3.00 + 4\\\\C(2) = 7.00[/tex]

[tex]\bullet \ \text{For t = 3,}[/tex]

[tex]C(3) = 1.50(3) + 4\\\\C(3) = 4.50 + 4\\\\C(3) = 8.50[/tex]

[tex]\bullet \ \text{For t = 4,}[/tex]

[tex]C(4) = 1.50(4) + 4\\\\C(4) = 6.00 + 4\\\\C(4) = 10.00[/tex]

[tex]\bullet \ \text{For t = 5,}[/tex]

[tex]C(5) = 1.50(5) + 4\\\\C(5) = 7.50 + 4\\\\C(5) = 11.50[/tex]

Now, we can insert these values into our table.

[tex]\begin{array}{|c|c|} \cline{1-2} \textbf{C} & \textbf{t} \\ \cline{1-2} 4.00 & 0 \\ \cline{1-2} 5.50 & 1 \\ \cline{1-2} 7.00 & 2 \\ \cline{1-2} 8.50 & 3 \\ \cline{1-2} 10.00 & 4 \\ \cline{1-2} 11.50 & 5 \\ \cline{1-2} \end{array}[/tex]

Therefore, our equation is C(t) = 1.50t + 4.00 and our data table is above.

Hurry i need help!!!!!

Answers

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

X^2 + 10x = 0
How do I solve for a completed square ?

Answers

Answer:

12x=0

Step-by-step explanation:

x=0 because it is

Answer:

x = 0 x = -10

Step-by-step explanation:

First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.

Secondly, you would factor it out and be with

(x + 0)(x +10)=0

Third, you would set each one equal to 0

x + 10 = 0 x + 0 = 0

Solve from there to get your two x's

x = 0 and x = -10

14.) Mr. Lovell was playing cards with his son. In the first round he earned 52

points. In the second round he lost 20 points. How would you write this as

an addition problem?

Answers

Answer:

That would be;

+52-20

Step-by-step explanation:

From the first part, he gained/earned 52 points

This is a positive so we have + 52

In the second round , he lost 20

This is a negative so we have - 20

Writing this as an addition problem, it will be;

+52-20

If 4j+3=-5. what is j +9?

Answers

Answer:

7

Step-by-step explanation:

First, we solve for j in the first equation:

4j+3=-5

4j=-8

j=-2

Now we plug j into j+9:

-2+9=7

So j+9 is 7

in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi.² to the nearest whole number what was the density of the sea otter population

Answers

Answer:

42 sea otters per mi2

Step-by-step explanation:

PLEASEE HELPP WILL BRAINLIST find the output when x = 0

Answers

Answer:

output: 8

Step-by-step explanation:

since x=0 y would equal 8 which is the output.

x-4y= -36 in slope form

Answers

y= 1/4x + 9 because you add the 4y to the right side and add 36 to the left side then divide everything by 4 you get x/4 + 36/4 = 4y/4


Evaluate this expression.
112.212 - (- 3.25)

Answers

Answer:

115.462

Step-by-step explanation:

Answer: 115.462

Step-by-step explanation:

To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.

Therefore, we now have:

112.212 + 3.25

115.462

Hope this helps!

PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet show
is 1:3.

a) What percent of the pets at the
show are cats?

Answers

Answer:

33.33%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show

Please help I’ll mark brainliest if u give a small explanation!!!

Answers

Answer:

ut is a if you add 5 plus 4 it makes 9 do not add the 8

There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?

Answers

Answer:

Small=36

Large=13

Step-by-step explanation:

As given there are 49 dogs signed up

36 are small so the equation is

36+x=49

x=49-36

x=13

So 13 large dogs and 36 small dogs

An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.

Answers

Answer:

She paid $67692.31 for the house originally.

Step-by-step explanation:

Let the initial cost of the house be [tex]x[/tex] dollars.

Given:

Selling price of the house (S.P) = $88000

Profit made = 30% of 'x' = [tex]0.30x[/tex]

We know that,

Profit = Selling Price - Original price

[tex]0.30x = 88000 - x[/tex]

Adding [tex]x[/tex] on both sides, we get:

[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]

Dividing both sides by 1.3, we get:

[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]

Rounding to 2 decimal places, we get:

[tex]x=\$67692.31[/tex]

Therefore, she paid $67692.31 for the house originally.

Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?

Answers

Answer:

yes

Step-by-step explanation:

you find the area by multiplying 38 X 112= 4,256

4,400 - 4,256= 144 left over

Express the following to percentage into fractions.​

Answers

Answer:

65.2/100

Step-by-step explanation:

1/5 = 0,2

then:

65 1/5 = 65 + 0.2 = 65.2

65.2/100

Step-by-step explanation:

[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]

it comes to 325

What is 7.504-2.3792 rounded to the hundred

Answers

Answer:

0

Step-by-step explanation:

First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.

Since zero is less than five we would round down

so our answer is zero

Hope this helps

Hope u get it right

what is the value of b and c

Answers

Answer:

its 7

Step-by-step explanation:

In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.

Answers

Answer:

5:6

Step-by-step explanation:

the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped

PLEASE HALP IM TIMES

Answers

Answer:

1,3,4

Step-by-step explanation:

What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06​

Answers

Answer: its 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points

The value of x in the equation is 4.

What is an algebraic expression?

An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.

From the given information:

2(6x + 4) - 6 + 2x = 3(4x + 3) + 1

Open brackets

12x + 8 - 6 + 2x = 12x + 9 + 1

Collect like terms

12x + 2x - 12x = -8 + 6+9 + 1

14x - 12x = -8 + 16

2x = 8

x = 8/2

x = 4

Learn more about algebraic expression here:

https://brainly.com/question/4344214


Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000

Answers

Answer:

the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months

1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.

Answers

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

Learn more about this concept here:

https://brainly.com/question/17023448

#SPJ2

Mrs. Garcia deposited $2500 into a new bank account. The bank pays 1.5% interest compounded annually on this account. She makes no additional deposits or withdrawals. How much is in her account at the end of 2 years?

Step-by-step explanation pls! :)

Answers

Answer:

$2575.5625

Step-by-step explanation:

2500*(1.015)^2

=$2575.5625

PLS GIVE BRAINLIEST

1st Year 2500*1.015=2537.5

2nd Year 2537.5*1.015=2575.5625

Solve using standard algorithm 12.2 * 4.

Answers

Answer and Step-by-step explanation:

12.2

*   4

____

48.8

4 times 2 is 8.

4 times 2 is 8.

4 times 1 is 4.

Remember to place the decimal.

#teamtrees #WAP (Water And Plant)

Answer:

48.8

Step-by-step explanation:

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