A theater is showing a ballet performance. Tickets are available on three levels in the performance hall. Lower level tickets cost $35, mezzanine tickets cost $25, and upper balcony tickets cost $15. For a certain performance the theater sold 5 times as many lower level tickets as upper balcony tickets. The theater sold $37,500 in tickets for that performance. The money made from mezzanine tickets alone was 4 times the money made from upper balcony tickets. How many lower level tickets were sold for that performance?

A Theater Is Showing A Ballet Performance. Tickets Are Available On Three Levels In The Performance Hall.

Answers

Answer 1

Based on the calculation done below, the number of lower level tickets sold is 750.

How do we calculate the number of units sold from a word problem?

Let:

L = number of lower-level tickets sold = 5U

M = number of mezzanine tickets sold

U = number of upper balcony tickets sold

We therefore have:

35L + 25M + 15U = 37,500 ...................... (1)

25M = 4 * 15U = 60U

Substituting L = 5U and 25M = 60U into equation (1) and solve for U, we have:

35(5U) + 60U + 15U = 37,500

175U + 60U + 15U = 37,500

250U = 37,500

U = 37,500 / 250

U = 150

Susbstituting U = 150 into L = 5U, we have:

L = 5 * 150

L = 750

Learn more about the number of units sold here: https://brainly.com/question/12962278.

#SPJ1


Related Questions

Absolute Value


7 |dl = 49

Answers

If I read this correctly, 7 times 7 equals 49. Since it wants the absolute value, the answer is d= - 7, 7

When the signs are of the integers the same, 1.__________
the integers and copy the 2.) ________ sign. When the signs are
3,) ____________, subtract them and use the sign of the number
with the greater 4) _________. If we add two same numbers with
different signs, then the answer is equal to 5.) ___________.
The sum of two negative integers is a 6. )_________ integer. The
sum of two positive integers is a 7.) ___________ integer.

Answers

When the signs of the integers are the same, 1) add the integers and copy the 2) same sign. When the signs are 3) different, subtract them and use the sign of the number with the greater 4) absolute value. If we add two same numbers with different signs, then the answer is equal to 5) zero . The sum of any two negative integers is always a 6. )negative integer. The sum of any two positive integers is a 7) positive integer.

Integers are a subset of real numbers that contains all rational numbers except decimals or fractions

When the signs are the same, add the integers and copy the same sign.

Examples: (+2) + (+8) = +10

                   -1 + (-4 )= -5

When the signs are different, we subtract and use the sign of the number with the bigger absolute value.

Examples; +12 + (-4) = +8

                  -12 + (+4) = -8

If we add two same numbers with different sign then the answer is equal to zero.

Examples: +5+ (-5) = 0

                 -1 + +1 = 0

The sum of any two negative integers is a always a negative integer.

Examples: -3 + (-5) = -8

                 -16 + (-10) = -26

The sum of any two positive integers is a always a positive integer.

Examples: +12 + +56 = +68

               +35 + + 15= +50

To learn more about integer visit:

https://brainly.com/question/15276410

#SPJ9

WILL GIVE BRAINLIEST need help asap

What will be the location of the y value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( -17, -3)

Answers

Answer:

(-13, -10)

Step-by-step explanation:

Your original point is (-17, -13)  The instruct tell you to move the point 4 units to the right and down 7 units.

-17 + 4 = -13

-3 - 7 = -10

(-13, -10) is going to be your correct answer.

Yesterday, between noon and midnight, the temperature dropped by 28.4°F. If the temperature was -1.9°F at midnight, what was it at noon?

Answers

Answer:

n= 26.5

Step-by-step explanation:

Comment

You need some sort of formula for this question. But you more or less have to invent it.

Formula

Temperature midnight = noon - temperature drop

Givens

temperature drop = 28.4

temperature midnight = -1.9

Temperature noon = x

Solution

-1.9 = x - 28.4                       Add 28.4 to both sides

-1.9 + 28.4 = x-28.4+28.4    Combine

Answer

26.5 = x

Anika spent $38 on 9.5 gallons of fruit punch. What is the cost per gallon? p= w= %=​

Answers

The required cost of the punch is $4 per gallon.

Given that,
Anika spent $38 on 9.5 gallons of fruit punch.
To determine what is the cost per gallon.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Total volume purchased = 9.5 gallons
Total cost = $38
Now,
The ratio of the total cost of punch to the volume of fruit punch purchases the total cost will give as the cost per gallon. So,
cost per gallon = 38 / 9.5
                      = $4 per gallon

Thus, the required cost of the punch is $4 per gallon.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ1

What is n and m? In the angle

Answers

In the given triangle , ∠n = 50° and ∠m = 35°

What is an angle ?

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.

Some common terms related to angles :

Endpoint  : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.

In the given question mark the triangle as ABC and the mid line as point D.

that means,

∠A = ∠n

∠B = ∠m

and, in ΔABC

∠C = 60 + 35 =95

now, as ΔCDB is isosceles triangle therefore,

∠m = ∠C = 35°

Also, as sum of all angle of triangle is 180

Therefore, ∠A + ∠B + ∠C = 180

=> ∠n + ∠m + 95 = 180

=> ∠n + 35 + 95 = 180

=> ∠n = 180- 130

=>∠n = 50

Hence in the triangle given , ∠n = 50 and ∠m = 35

To know more about Angles and properties, visit:

brainly.com/question/13822181

#SPJ9

Write 42 900 000 in standard form

Answers

Answer:33.1

Step-by-step explanation: 3.61 × 10-3 =33.1

Step-by-step explanation:

429 × 10⁷

hopefully it will help you

you know that your height is 5 ft 3 in. a friend measures you three times and gets these results: 5 ft 10 in, 5 ft 9.5 in, and 5 ft 10.5 in. how can these measurements be explained

Answers

The measurements can be explained as low accuracy and high precision.

Accuracy is how close or far off a given set of measurements are to their true value.

Precision is how close or dispersed the measurements are to each other.

Given,

His height = 5 feet 3 inches

Friend measures you three times and gets these results =5 ft 10 in, 5 ft 9.5 in and 5 ft 10.5 in

Here, the measurements are closely dispersed but the measurements are far from actual measurement.

Hence, the measurements can be explained as low accuracy and high precision.

Learn more about Accuracy here

brainly.com/question/14244630

#SPJ4

now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of the vector n and the angle θ , with the components separated by a comma.

Answers

The components are Nx= Ncosθ  and Ny= -Nsinθ

What is a Vector?

We know that the vector quantities are those quantities that have magnitude as well as direction.

Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.

A vector component is the product of its length and the component angle.

Generally, F sinθ is the vertical component and F cosθ is the horizontal component,

Now, from the diagram the horizontal component of vector 'r' is

Nx= Ncosθ

and, the vertical component will be

Ny= -Nsinθ

this is in the opposite direction

Learn more about vectors here:

https://brainly.com/question/1600633

#SPJ4

bernardo randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8, 9\}$ and arranges them in descending order to form a 3-digit number. silvia randomly picks 3 distinct numbers from the set $\{1, 2, 3, 4, 5, 6, 7, 8\}$ and also arranges them in descending order to form a 3-digit number. what is the probability that bernardo's number is larger than silvia's number? (a) $\frac{47}{72}$ (b) $\frac{37}{56}$ (c) $\frac{2}{3}$ (d) $\frac{49}{72}$ (e) $\frac{39}{56}$

Answers

Answer:

Step-by-step explanation:

hii ,myself neha and I love animals , that's why I love my friends .

Answer:

finding if kg DJ of CM ignor

Step-by-step explanation:

help me please 4+(−1/2/3)

Answers

Answer is 7/3

Step-by-step explanation:

Answer:

[tex]\frac{23}{6}[/tex] or 3.833333...

Hope this helps

Step-by-step explanation:

[tex]4+(-\frac{1}{2} *\frac{1}{3} )\\\\4+ (-\frac{1}{6} )\\\\4-\frac{1}{6} \\\\\frac{24}{6} -\frac{1}{6} \\\\\frac{23}{6}[/tex]

Find the distance CD rounded to
the nearest tenth.
C (7,-4) and D = (-8,-5)
CD= [?]
HINT: Use the distance formula:
d = √(x₂-x₁)² + (y2-Y₁)²
Round your answer to the tenths place.

Answers

The distance between two points [tex](x_{1}, y_{1} )[/tex] and [tex](x_{2} ,y_{2})[/tex] is given by

[tex]d = \sqrt{ (x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }[/tex]                   …(1)

Given points are:

C = (7,-4) = [tex](x_{1}, y_{1} )[/tex]

D = (-8,-5) = [tex](x_{2} ,y_{2})[/tex]

Substituting the values in equation (1), we get

[tex]CD = \sqrt{ (-8-7)^{2} +(-5-(-4))^{2} }[/tex]    

[tex]CD = \sqrt{ (-15)^{2} +(-1)^{2} }[/tex]

[tex]CD = \sqrt{{ 225} +1 }[/tex]

[tex]CD = \sqrt{{ 226 }[/tex]

[tex]CD = 15.03}[/tex]

After Rounding it to nearest tenth, we get

CD = 15 units

Hence, the distance between the points (7,-4) and (-8,-5) is 15 units.

Know more about Distance formula: -https://brainly.com/question/23848540  

#SPJ9

Can someone help me with this

Answers

Answer:

p) zero

q) 10,559.5

r) from $37,001 to $87,000

Step-by-step explanation:

p) zero

q) Tax = 3,572 + (58,500 - 37,000)(0.325)

= 3,572 + 6,987.5

= 10,559.5

r) from $37,001 to $87,000

hey could someone help me understand this i'm confused.

Answers

Check the picture below.

Find the value of j. Show all steps to the solution and give reason to your calculations

Answers

Answer:

j=50°

Step-by-step explanation:

10x-20=5x-3+4x-2( ext angle of ∆)

10x-5x-4x=-3-2+20

x= 15

substitute the value if x

10(15)-20+ j=180 ( sum of angles in straight line)

130+j=180

j=180-130

j=50°

HELP PLEASE WITH THIS MATH

Answers

Answer:

Shapes S and D are congruent because they are both parallel to the line. Shapes M and S have the same area since they both cover 6 triangles.

Step-by-step explanation:

this should be EASY! just got a load of easy homework big its A LOT someone help

Answers

Answer: 1053.7225

Step-by-step explanation:

there are 300 pages in a workbook. every chapter has 25 pages. which equation can be solved to find how many chapters are in the workbook?

Answers

Number of chapters in the workbook = 12  

What  is a linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear.

Total number of pages = 300

1 Chapter = 25 Pages

Divide 300 by 25 to figure out the total number of chapters in the workbook.

Number of chapters in the workbook = 300/25 = 12

Therefore, Number of chapters in the workbook = 12

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

The linear equation y= mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9. What is the value of m? What is the value of b?

Answers

The value of m and b of the linear equation are 4 and 19 respectively

How to represent linear equation?

The linear equation is represented as y = mx + b, contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9

Linear equation can be represented as follows:

In slope intercept form,

y = mx + b

where

m = slope or gradientb = y-intercept

Therefore, the linear equation y = mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9.

Perpendicular lines follows the following rules:

m₁ m₂ = -1

Therefore, let's find the slope of the second equation and use it to find the slope of the linear equation that passes through (-4, 3).

5x + 20y = 9

20y = -5x + 9

y = -1 / 4 x + 9 / 20

Hence,

- 1 / 4 m₂ = - 1

m₂ = 4

Therefore, let's find the equation since we have gotten the slope.

y = 4x + b

It's passing through (-4, 3)

3 = 4(-4) + b

3 = -16 + b

b = 3 + 16

b = 19

Therefore, the value of m and b of the linear equation are 4 and 19 respectively

learn more on linear equation here: https://brainly.com/question/17754578

#SPJ1

Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.

Answers

A is 800 plus tax, with $75 back
800x1.05 (because it's 5% tax) -75 =$765
B is 800x.90 (because 10% off means he's
paying 90% x.05=$756
C is 800x 95 (because 5% off means he's
paying 95%) =760
So B is the right answer

a second sheet of paper is half as long and half as wide as the one described in part a. by what factor is its area less than the area found in part a? chegg

Answers

The factor of its area less than the initial area is 1/4

How to determine the factor of its area less than the initial area?

The given parameters can be represented as:

Second sheet = 1/2 * The first sheet

Assume the sheet is rectangular, the area of the sheet is calculated as:

Area = Length * Width

So, the area of the second sheet is

Second sheet = 1/2Length * 1/2Width

This gives

Second sheet = 1/4(Length * Width)

So, we have:

Second sheet = 1/4 * First sheet

Hence, the factor of its area less than the initial area is 1/4

Read more about areas at:

https://brainly.com/question/24487155

#SPJ1

The length of a rectangle is 3 more than twice the width. the perimeter is 36 inches. what is the area?

Answers

If the length of a rectangle is 3 more than twice the width and the perimeter is 36 inches, then the area of the rectangle is equal to 65 in².

The length and width of the rectangle can be determined by using the formula for the perimeter of the rectangle,

P = ( L + W ) × 2

P = 2L + 2W

Here L is equal to the length of the rectangle and W is the width of the rectangle.

As the length is 3 more than twice the width, we can write the length of the rectangle as,

L = 3 + 2W

Putting L = 3 + 2W in the equation of perimeter,

P = 2L + 2W

As P = 36

36 = 2( 3 + 2W) + 2W

36 = 6 + 4W + 2W

6W = 30

W = 30 ÷ 6

W = 5

The length of the rectangle can be found by putting W = 5 in the equation,

L = 3 + 2W

L = 3 + 2(5)

L= 3 + 10

L = 13

Therefore, the length and width of the rectangle are equal to 13 and 5 respectively

As, area = width × length

area = 5 × 13

area = 65

Hence, the area of the rectangle is equal to 65 square inches.

To learn more about perimeter, click here:

https://brainly.com/question/26584519

#SPJ4

8×138
I got the Answer but I'm not sure
(tell if it is true or not ,if not pls tell the answer plsss)​

Answers

Answer:

Did you mean 138/8?

If so, 17.25 is correct.

Answer:

hope it helps you

Step-by-step explanation:

thankss :) if its wrong let me know

How do i solve these types of problems?

Answers

Answer:  49   &  82

Step-by-step explanation:

*the total degrees for each triangle is 180 degrees

9)  Start with the triangle furthest left- subtract 71 and 57 both from 180.  That leaves you with 52 degrees for that third angle.  The angles that all make a straight line or straight angle add up to 180 degrees as well.  Now, subtract the 52 and 65 from 180, which leaves you with 63 degrees for the first angle in the second triangle.  Now subtract the 63 and 68 from 180, which leaves you with 49 degrees for that answer.

10)  For this one, you will start with the triangle further right, since it already has two angles shown.  Subtract the 85 and 35 from 180, which gives you 60 degrees for that third angle.  Then, you can use the vertical angles to fill in its opposite angle in the first triangle (vertical angles are equal).  This means that the first triangle has angles of 38 and 60 degrees, so subtract those both from 180, giving you 82 degrees for that answer.

0.5(7d+4)=7−1.5d ..............................

Answers

Answer:

d=1

Step-by-step explanation:

First let's simplify the first equation, 0.5(7d+4) by applying the distributive property

0.5(7d+4)

(0.5 x 7d) + (0.5 x 4)

3.5d+2


Now let's move all terms containing d to the left side of the equation
So add 1.5d to the left

3.5d+2 = 7-1.5d

3.5d+2+1.5d=7

5d+2=7

Move all terms not containing d to the right side of the equation

5d+2=7

5d=7 -2

5d=5

Finally, divide each term by 5 to simplify

5d/5 = 5/5

d=1

Which of the following data sets has the smallest standard deviation and provides correct reasoning as to why it has the smallest standard deviation?
A) {-2, -1, 0, 1, 2} because the distribution of values is symmetrical around zero.
B (99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.
c {9, 9.5, 10, 10.5, 11} because the difference between successive values is constant.
(80, 93, 100, 110, 118) because the sample mean is equal to the true mean of the population

Answers

Answer:  is #b

Step-by-step explanation:

Three arithmetic means between 12 and 44

Answers

The three arithmetic means between 12 and 44 are -

20, 26, 36.

We have two numbers 12 and 44.

We have to determine the three arithmetic mean between these numbers.

What is Arithmetic Mean ?

Assume that x, y and z are in AP, then -

y - x = z - y

2y = x + z

y = (x + z)/2

Here -  y is called the arithmetic mean of x and z.

According to the question -

Assume that the three arithmetic means between the two numbers are -

12, a, b, c, 44

Then -

12 , 12 + d, 12 + 2d, 12 + 3d, 44

will be an AP with common difference 'd'.

Now, we have -

a[5] = 44

Using the formula for nth term of an AP, we get -

a + (n - 1)d = 44

12 + 4d = 44

4d = 32

d = 8

Therefore, the three arithmetic means are -

12 + 8 = 20

12 + 2 x 8 = 26

12 + 3 x 8 = 36

Hence, the three arithmetic means between 12 and 44 are -

20, 26, 36

To solve more questions on Arithmetic mean, visit the link below-

https://brainly.com/question/10716683

#SPJ1

Subtracting 5 from a number and then squaring the result gives the result 16. how to solve . please help​

Answers

[tex](x-5)^2=16\\x-5=4 \vee x-5=-4\\x=9 \vee x=1[/tex]

Can I have this checked?

Answers

The measure of angle JKN is 108 degrees

How to determine the measure of angle JKN?

From the figure, we have the following parameters

Angle 1 equals Angle 2

Where

Angle 1 = Angle JKP = 3r + 12

Angle 2 = Angle PKN = 4r - 2

Recall that

Angle 1 equals Angle 2

So, we have

3r + 12 = 4r - 2

Evaluate the like terms

r = 14

Substitute r = 14 in Angle 1 = Angle JKP = 3r + 12 and Angle 2 = Angle PKN = 4r - 2

Angle 1 = Angle JKP = 3 * 14 + 12 = 54

Angle 2 = Angle PKN = 4 * 14 - 2 = 54

The measure of angle JKN is calculated as

Angle JKN = Angle 1 + Angle 2

So, we have

Angle JKN = 54 + 54

Evaluate

Angle JKN = 108

Hence, the measure of angle JKN is 108 degrees

Read more about angles at

https://brainly.com/question/98924

#SPJ1

1+1 =3
thế 1239479823749082+2321887349274971+282715371864791-168492614916=

Answers

Answer:

3.8439141e+15

Other Questions
25 POINTS AND BRAINLIEST NO EXPLANATION NEEDED JUST ANSWER Does baking a loaf of bread conserve mass Spanish Colonies British Colonies French ColoniesCreated the 13 Colonies Colonized Mexico Colonized Canada and the Missisppi River Interacted with Powhattan Tribe Interacted with Pueblos Interacted with the Algonquin Wanted to trade with natives Wanted to enslave the natives and find gold Wanted to move the Natives off Land Created the 13 Colonies Colonized Mexico Colonized Canada and the Missisppi River Interacted with Powhattan Tribe Interacted with Pueblos Interacted with the Algonquin Wanted to trade with natives Wanted to enslave the natives and find gold Wanted to move the Natives off Land write about story the wood cutting and his family according to the talking about ethics textbook, cultural relativists often point to the diversity of ethical beliefs around the world as an argument for cultural relativism. what kind of logical fallacy is this? Why would overfishing cause a starfish outbreak Which benchmark fraction is 4/7 closest to? A. 1/2B. 1/4C. 3/4D. 4/4 If the United States were a direct democracy, there would be no:(1 point)O rhetoric.O legislature.O citizenship.Ovoting rights. economic integration agreements are informal blank institutions that rely on agreements among members, and their development has tended to follow a general pattern from free trade area through common market to economic integration. what is the magnitude (in n/c) and direction of an electric field that exerts a 2 x 10-5 n upward force on a -1.2 c charge? 1c what is the characteristic of tropical Can anyone help me for brainiest 50 points IV - amount of waterDV - Rate of photosynthesisWhats the hypothesis The parallelism of : would you prefer the graceful owl rats or a sneaky cats How do these labels contrast with the way she views her mothers speech? What is 4 60/72 written as a decimal?OA) 0.483OB) 0.83OC) 4.83OD) 0.483 Write an informative essay on the great chicago fire. your essay will use research to explain what caused the fire to burn out of control and to describe the fire's effects and aftermath. select the following links to read about the fire. I really need help i don't get it can some one help its due by Monday 9/8/22 30 POINTSSS AND BRAINLIEST!! HURRY!Pizza is served in many school cafeterias in the United States on a daily basis, but it is actually still relatively new to the country. Pizza first arrived in the United States with Italian immigrants during the 1800s. It was popular in cities that had a large concentration of citizens that had Italian roots. It remained relatively unpopular nationally for several decades until the end of World War II. Many American soldiers that had been stationed in Italy during the war enjoyed eating pizza on a regular basis there and when they returned to the United States they wanted to continue to have access to it. Pizza then enjoyed a boost in popularity and soon went from being a food primarily consumed by Italian immigrants to one of the most popular foods in the country. Question: What is the central idea of the passage? Write your response in a complete sentence and be sure to include the title of the article in your response.Question: What inference can be made about American soldiers in Italy during World War II? Write your response in a complete sentence.Question: Write a quote from the passage that best supports your inference from #2. Be sure to use quotation marks and write out the entire sentence. Answer This Question: What were 2 purposes of the Navigation Acts?