The Valley High School student council is planning a dance. The
school has 480 students. The lowest possible ticket price is $3.00,
and they estimate that for every $0.20 increase in ticket price, 20 fewer
students will attend. What ticket price will maximize
the student council's profit?
SELECT ONE OPTION BELOW:

$4.20
$3.90
$3.50
$4.00

Answers

Answer 1

Answer:

$3.90

Step-by-step explanation:

its B

Answer 2

The price of the ticket at which the student councils will maximize the profit is $3.90.

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of students = 480

Lowest ticket price = $3

Ticket price = $4.20

This means,

4.20 - 3 = 1.20

There is an increase of $1.20 which is 0.20 x 6 = $1.20.

The number of students who attended when the ticket price is $4.20.

= 480 - (6 x 20)

= 480 - 120

= 360

Profit:

= 360 x 4.20

= $1512

Ticket price = $3.90

This means,

3.90 - 3 = 0.90

There is an increase of $0.90 which is 0.20 x 4.5 = $0.90.

The number of students who attended when the ticket price is $3.90.

= 480 - (4.5 x 20)

= 480 - 90

= 390

Profit:

= 390 x 3.90

= $1521

Now,

Ticket price = $3.50

This means,

3.50 - 3 = 0.50

There is an increase of $0.50 which is 0.20 x 2.5 = $0.50.

The number of students who attended when the ticket price is $3.50.

= 480 - (2.5 x 20)

= 480 - 50

= 430

Profit:

= 430 x 3.50

= $1505

Now,

Ticket price = $4.00

This means,

4 - 3 = 1

There is an increase of $1 which is 0.20 x 5 = $1.

The number of students who attended when the ticket price is $4.20.

= 480 - (5 x 20)

= 480 - 100

= 380

Profit:

= 380 x 4.20

= $1520

We see that,

The profit is highest when the ticket price is $3.90.

Thus,

$4 ticket price will maximize the student council's profit.

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Related Questions

Express 8 as a fraction.​

Answers

Answer:

8/1

Step-by-step explanation:

You just have to put a one for the denominator for any whole number you want to make a fraction.

Please mark me as brainliest.

I need to find the area of these if you do it I will give you a 5-star rating and share you with other people brainiest included

Answers

Answer:

get up a calculator and multiply the numbers and it will give you an answer

Step-by-step explanation:

hope this helps

please help‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Answers

4√x2y3z not entirely sure about it

What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
100, 100, 90, 9
100, 10, 90, 9
100, 90, 10, 1
10, 10, 9, 9

Answers

Answer:

100, 90, 10, 1

Step-by-step explanation:

The ratio of three numbers is 4 : 5 : 3. The sum of the numbers is 54. List the numbers in ratio form.

Answers

Answer:

13.5 : 18 : 22.5.

Step-by-step explanation:

let the numbers be 3x , 4x and 5x

3x+ 4x + 5x = 54

12x = 54

x = 4.5

so the numbers are 3*4.5, 4 * 4.5 and 5 * 4.5

= 13.5, 18 and 22.5.

The list of the numbers in ratio form is 18 : 22.5 : 13.5

Given the ratio of three numbers as 4 : 5 : 3

Total ratio = 4 + 5 + 3

Total ratio = 12

If the sum of the numbers is 54.

For the ratio of 4:

= 4/12 * 54

= 1/3 * 54

= 18

For the ratio of 5:

= 5/12 * 54

= 270/12

= 22.5

For the ratio of 3:

= 3/12 * 54

= 1/4 * 54

= 13.5

Hence the list of the numbers in ratio form is 18 : 22.5 : 13.5

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if you're at the state fair with some friends and deciding between buying a jumbo pack of 50 ride tickets for $45 or medium pack of 30 ride tickets for $28.50 which pack is the better deal jumbo or medium now say sorry

Answers

the jumbo pack is a better price!

What is the y intercept of a line that has a slope of-3 and passes through point (-5,4)
-17
-11
7
19


Answers

Its 19 your welcome ✨✨

$9: 4 visitors - $18 : 8 visitors proportion or non proportion

Answers

Answer:

That would be proportionate

Step-by-step explanation:

Just compare the two ratios

9/4

18/8

they are the same if you find the lcm of both

18/8

18/8

help its 50 percent of my grade

Answers

Answer:A=144 P=40

Step-by-step explanation:

Answer:

Area is [tex]96^{2}[/tex] feet

Perimeter is 40ft

Mrs. Milavec had to take out a loan, to pay for Oreos. She borrowed $2,000 at 8% for 2 years. What is the interest Mrs. Milavec will have to pay?

Answers

Answer:

$320.00

Step-by-step explanation:

Determine the intercepts of the line.
7x-5=4y -6
X-intercept:
y-intercept:

Answers

Answer:

x-intercept : (-0.1429,0)

y-intercept : (0,0.25

PLEASE HELP MEEE!!!Which fraction is equivalent to a ratio of 3 to 4?

Answers

Answer:

3/4

Step-by-step explanation:

Just swap the colon (:) for a slash (/)

Answer:

Any of these should work for ya :)

 3/4 = 6/8 = 9/12 = 12/16

= 15/20 = 18/24 = 21/28 = 24/32

= 27/36 = 30/40 = 33/44 = 36/48

= 39/52 = 42/56 = 45/60 = 48/64

= 51/68 = 54/72 = 57/76 = 60/80

= 63/84 = 66/88 = 69/92 = 72/96

= 75/100 = 78/104 = 81/108 = 84/112

= 87/116 = 90/120 = 93/124 = 96/128

= 99/132 = 102/136 = 105/140 = 108/144

= 111/148 = 114/152 = 117/156 = 120/160

= 123/164 = 126/168 = 129/172 = 132/176

= 135/180 = 138/184 = 141/188 = 144/192

= 147/196 = 150/200 = 153/204 = 156/208

= 159/212 = 162/216 = 165/220 = 168/224

= 171/228 = 174/232 = 177/236 = 180/240

= 183/244 = 186/248 = 189/252 = 192/256

= 195/260 = 198/264 = 201/268 = 204/272

= 207/276 = 210/280 = 213/284 = 216/288

= 219/292 = 222/296 = 225/300 = 228/304

= 231/308 = 234/312 = 237/316 = 240/320

= 243/324 = 246/328 = 249/332 = 252/336

= 255/340 = 258/344 = 261/348 = 264/352

= 267/356 = 270/360 = 273/364 = 276/368

= 279/372 = 282/376 = 285/380 = 288/384

= 291/388 = 294/392 = 297/396 = 300/400

<3 Enjoy,

    Dea

My homework says, "Does the graph represent a proportional relationship? Why or why not? You MUST explain to get credit."

Answers

Answer:

No, the graph does not represent a proportional relationship. It is a straight line, but it does not intersect the point (0, 0). ... It's not proportional because the line does not cross through the origin. Therefore the ratio of x to y will be different for two different points on the line.

Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 2 hours. Similarly, Pragnesh and Ronghui can paint the fence in 3 hours when they work together. Finally, when Qazi and Ronghui work together, they can paint the fence in 4 hours. How long would it take if all three students worked together to paint the fence

Answers

Answer: 55.4 mins

Step-by-step explanation:

pragnesh and qazi = 2hrs

pragnesh and roghui = 3hrs

qazi and roghui = 4hrs

this means for every 1 hour they wold paint.

pragnesh and qazi = [tex]\frac{1}{2}[/tex] half of the fence

pragnesh and roghui = [tex]\frac{1}{3}[/tex]

qazi and roghui = [tex]\frac{1}{4}[/tex] quarter of the fence

time taken when they all work together

= [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{4}[/tex]

= [tex]\frac{13}{12}[/tex]

= [tex]\frac{12}{13}[/tex]

= 0.9231 × 60(mins)

= 55.4 mins

Let P = {4, 5, 6, 7, 8), Q = {5, 6, 7), and R = {1, 2}, Find PUQ. 0 A. {1, 2, 4, 5, 6, 7, 8} o B. {5, 6, 7} c. [4, 5, 6, 7, 8} 0 D. ©​

Answers

Answer:

This isn't an equation right?

Step-by-step explanation:um ...

Answer: C: {4,5,6,7,8}

Step-by-step explanation:

Which of the following sets of data does NOT represent a function?

a. Set A
b. Set B
c. Set C
d. Set D​

Answers

Answer:

D

Step-by-step explanation:

Set D is not a functions. Functions are defined as each x having only 1 y value associated with it. 2 in the x column has two values associated with it: 1 and 2

D is not a function.

50 points please help :(

Answers

[tex] \frac{(y - 1) {}^{2} }{9 } - \frac{( {x - 2)}^{2} }{100} = 1[/tex]

[tex] \frac{(y { - 1)}^{2} }{ {3}^{2} } - \frac{ {(x - 2)}^{2} }{ {100}^{2} } = 1[/tex]

[tex]( \frac{y - 1}{3} {)}^{2} - ( \frac{x - 2}{10 } {)}^{2} = 1[/tex]

Answer: 5  38 7

the reason is because add and multiply the check with division while also using radious

im doing a review for my class I've blurred my name but im struggling getting to understand some of these

Answers

Wait wait wait wait ayee ayee wooooo

what is 4+n/3=2


the slash is a fraction

Answers

Answer:

n = -6

Step-by-step explanation:

4 + [tex]\frac{n}{3}[/tex] = 2

[tex]\frac{n}{3}[/tex] = -2

n = -6

Answer:

n = -6

Step-by-step explanation:

4 + n/3 = 2

subtract 4 from both sides

n/3 = 2 -4

n/3 = -2

multiply both sides by 3

n = 3(-2)

n = -6

HELP ASAP!
38 points if you answer pls

Answers

Answer:

b

Step-by-step explanation:

matematica ayuda xfis​

Answers

Answer:

خ

Step-by-step explanation:

En qué problema necesitas ayuda?

Blanca creates decorative wall hangings. She wants to look at the relationship between the diagonal length of the hangings and their weight. The data show a linear pattern with the summary statistics shown below: standard deviation = diagonal length (inches) 7 = 24.1 = 12 y = weight (pounds) y = 12.9 S = 16.2 0.0 Find the equation of the least-squares regression line for predicting the weight of the wall hanging from its diagonal length. Round your entries to the nearest hundredth​

Answers

Answer: y=-16.38+1.22x

Step-by-step explanation:

Answer:y=-16.38+1.22x

Step-by-step explanation:

5. An airline ticket to Florida from a certain city costs $249. How much money does
the airline collect if 85 tickets are sold?

Answers

Answer: $21165

Step-by-step explanation:

249 x 85 = 21165

HELP PLEASE whats the answer giving brainliest math btw lol

Answers

Answer:

The person above or below is correct.

Step-by-step explanation:

Can I have Brainliest?

A recipe says, "1 part cocoa to 4 parts sugar." How much sugar will you need if you use 20 grams of cocoa?

Answers

Answer:

80

Step-by-step explanation:

1 part of cocoa to 4 parts of sugar means every one part of cocoa is timed by four parts sugar so 20 times four is 80.

The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) + g(x).

Answers

Answer:

f(x) + g(x) = x^2 + 3x + 5

Step-by-step explanation:

In order to do this, you need to substitute f(x) for 3x +5 and substitute g(x) for x2 (which I'm assuming is x squared, which I will be wrIting as x^2. If this is not the problem, please correct me)

f(x) + g(x) = 3x + 5 + x^2

Now, you need to put the varibles in decreasing order of exponents.

f(x) + g(x) = x^2 + 3x + 5

Answer:

Step-by-step explanation:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

Can some one
help please I don’t understand this problem.
This is for regular Geometry.

Answers

This is the answer. Hope it helps

Situation:
A 33 gram sample of a substance that's
used to detect explosives has a k-value
of 0.1473.
N = Noe
-kt
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days

Find the substances half life, and days. Round your answer to the nearest 10th

Answers

Answer:

Half life = 4.7 days

Step-by-step explanation:

Formula to get the final amount of the substance after the time 't',

[tex]N_t=N_0e^{-kt}[/tex]

Here, [tex]N_t[/tex] = Final amount of the substance

[tex]N_0[/tex] = Initial amount

k = decay constant

t = Duration or time

Now by substituting the values in the formula,

[tex]N_t=N_0e^{-0.1473t}[/tex]

If [tex]N_t=\frac{1}{2}(N_0)[/tex] [For half life]

[tex]\frac{1}{2}(N_0)=N_0e^{-0.1473t}[/tex]

[tex]\frac{1}{2}=e^{-0.1473t}[/tex]

[tex]2=e^{0.1473t}[/tex]

ln(2) = [tex]\text{ln}(e^{0.1473t})[/tex]

0.69315 = 0.1473t

t = 4.71 days

t ≈ 4.7 days

Therefore, half life of the substance is 4.7 days.

Answer:

4.7

Step-by-step explanation:

what is approximately equal to
[tex] \sqrt{47} [/tex]
A: 40
B: 7
C: 16
D: 9.4​

Answers

Answer:

d

Step-by-step explanation:

d

Match the vocabulary word with the correct definition.
3
1. apothem
2. inscribed polygon
a polygon that is constructed inside
of the circumference of a circle in which
the vertices of the polygon lie on the
circumference of the circle.
2
a line segment drawn from the
center of a convex polygon (inscribed in
a circle) to the midpoint of any side of
the polygon.
a convex polygon in which all of the
side lengths are equal and all of the
interior angles have equal measure.
3. regular polygon

Answers

Answer:

apothem: a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.

regular polygon:a convex polygon in which all of the side lengths are equal and all of the interior angles have equal measure.

inscribed polygon:a polygon that is constructed inside of the circumference of a circle in which the vertices of the polygon lie on the circumference of the circle.

Step-by-step explanation:

The words that matched with the correct definition are given below.

What is apothem?

The apothem is the angle between a chord's middle and the circle's center. The apothem of a regular polygon is only the in radius, or the distance from the center to a side.

The correct definitions are:

Apothem : a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.

Regular polygon : a convex polygon in which all the side lengths are equal and all the interior angles have equal measure.

Inscribed polygon : a polygon that is constructed inside the circumference of a circle, in which the vertices of the polygon lie on the circumference of the circle.

Therefore, the correct definitions are given above.

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