The club with an occupancy of 100 will sell out at $25 per ticket. If the owner decides to increase the price by $5, then 2 less tickets will be sold. Determine the revenue function if x is the number of $5 increases.

Answers

Answer 1

Answer:

100 + (5X) = -2X

Step-by-step explanation:

Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:

100 + (5X) = -2X

So, for example, if the price were increased by $ 15, the equation would apply as follows:

15/5 = 3

100 + (5x3) = -2 x 3

100 + 15 = -6

115 = -6


Related Questions

what is the measure of <B, in degrees. ​

Answers

Answer:

32

Step-by-step explanation:

The base angles of the triangle are the same since the sides are the same

<C = 74

A+B+C = 180 since the sum of the angles of a triangle = 180

74+B+74=180

Combine like terms

148+B =180

B = 180-148

B = 32

Answer:

[tex]\text{A. }32^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].

Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:

[tex]\angle A+\angle B+\angle C=180[/tex]

Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:

[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]

Which is the graph of the linear equality 2x-3y<12

Answers

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

the ratio equivalent to 3:4.

Answers

Answer:

33:44

Step-by-step explanation:

4*11=44

3*11=33

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p.

Answers

Answer:

The point estimate for p is of 0.12.

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.

This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]

The point estimate for p is of 0.12.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]

The 90% confidence interval for p is 0.0862 < p < 0.1538.

linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4

Answers

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system:

{-x - 3 y - 2 z = 8 | (equation 1)

-x + y + 6 z = 0 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Subtract equation 1 from equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+4 y + 8 z = -8 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Divide equation 2 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

x - 9 y - 2 z = 4 | (equation 3)

Add equation 1 to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 12 y - 4 z = 12 | (equation 3)

Divide equation 3 by 4:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y + 2 z = -2 | (equation 2)

0 x - 3 y - z = 3 | (equation 3)

Swap equation 2 with equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+y + 2 z = -2 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+(5 z)/3 = -1 | (equation 3)

Multiply equation 3 by 3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+5 z = -3 | (equation 3)

Divide equation 3 by 5:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y - z = 3 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add equation 3 to equation 2:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x - 3 y+0 z = 12/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Divide equation 2 by -3:

{-x - 3 y - 2 z = 8 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 3 × (equation 2) to equation 1:

{-x + 0 y - 2 z = 28/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Add 2 × (equation 3) to equation 1:

{-x+0 y+0 z = 22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -22/5 | (equation 1)

0 x+y+0 z = -4/5 | (equation 2)

0 x+0 y+z = -3/5 | (equation 3)

Collect results:

Answer: {x = -22/5, y = -4/5, z = -3/5

The sum of triple a number and 5 is 40.

Answers

x =35/3 or 11 2/3 or 11.6
(all forms)

hope this helped !!
x=35/3 or 11.6 ur welcome

Which algebraic expression is equivalent to the expression below? 2(3 + 5x) + 24 A. 10x - 30 B. 10x + 18 C. 5x + 30 D. 10x + 30

Answers

Answer:

10x +30

Step-by-step explanation:

2(3 + 5x) + 24

Distribute

2*3 + 2*5x+24

6+10x+24

Combine like terms

10x +30

plzz help ill mark u brainliest

A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals

Answers

Answer:

a. angle 4 is congruent to angles 1, 2, 3, 5

b angle 5 is congruent to angles 1, 2, 3, 4

c. the sum of angles 1, 4, and 5 is 180°

d. The sum of angles 1, 2, and 3 is 180 °

Step-by-step explanation:

a. all angles are the same measurement

b. all angles are the same measurement, you know this by measuring

c. they are on a striaght 180 degree line

d. the sum of a triangles angles are always 180 degrees

Out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience

Answers

Answer:

The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

Step-by-step explanation:

Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:

253 = 100

62 = X

62 x 100/253 = X

6,200 / 253 = X

24.50 = X

Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

Change fraction ( 11/4) from an improper fraction to a mixed number.

Answers

Answer:

Have a nice day :)

Step-by-step explanation:

To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6

Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.

Answers

Answer:

3/15= 1/5 That's the answer

4x-1divide by 2=x+7
what is x

Answers

X= 2.5
just move the terms collect the terms calculate it, divide both sides !!

(5/12 divided by 3/4 )
please finde this..
this is 7th class question​

Answers

5/12 / 3/4= 5/12 *. 4/3= 20/36= 10/18= 5/9

So 5/9 :))))

Select the correct answer. Which graph represents the solution to the inequality?​

Answers

Answer:

A

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

Solve for the value of X pleassee

Answers

Answer:

188

Step-by-step explanation:

SR and ST are equal in length so the arc SR and arc ST also have same measurement

since the perimeter of the circle is equal to 360 and arc RT is given as 64

x = (360 - 64) / 2

x = 188

help me please lol this is an important grade

Answers

Answer:

YOUR ANSWER IS B

Step-by-step explanation:

PLEASE HELP WILL MARK YOU!!!

Answers

Answer:

hear is your required answer

Answer:

please see the image given above. hope this helps

Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2

Answers

Use a graphing calculator

Que número es menor que 2 1/2?
a-6/3
b-7/2
c-3
d-4​

Answers

la respuesta es a- 6/3

Helpppp me with explanation also please:(((((

Answers

Answer:

x=7/3

Step-by-step explanation:

3x2y=5 equation 1

3x-2y=9 equation 2

6x=14 add above 2 equations which eliminates y

x=14/6

x=7/3

A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?

Answers

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable

Answers

Answer:

A: Parameter

B: Population

C: Statistic

D: Variable

E: Sample

F: Data

Step-by-step explanation:

A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.

B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.

C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.

D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.

E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.

F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.

Amanda is reading a book that has 125 pages. She has read 12 pages a day for 4 days in a row.

How many more pages does Amanda have left to read?

Answers

Amanda has 77 more pages to read

explanation:
12x4=28
125-48=77

Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.

Answers

Answer:The answer is 4.06

Step-by-step explanation:

Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.

help asap !!!!!!!!!!​

Answers

Answer:

Diagram 2= 5  

Diagram 3=10

Diagram 4= 15

Diagram 8 would be 35

Step-by-step explanation:

which statement describes the vector plotted below

Answers

Answer : D.)

The vector begins at the point (0,0). This point is where it BEGINS because it is the end of the vector, it doesn’t point to anywhere.

The vector goes to the point (-5,-5) because this is where it is pointing to.

I need help with this

Answers

Base: 3 units

Height: 5 units

Area: 15 square units

         ([tex]A=b*h=3*5=15[/tex])

hope this helps :)

double the difference of 25 and 10 is

Answers

Answer:

30

Step-by-step explanation:

25-10 = 15

15 x 2 = 30

Double the difference of 25 and 10 is:

------------------

First we must get the difference between 25 and 10.

[tex]25 - 10 = \green{15}[/tex]

Next, we must double the answer.

[tex]15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}[/tex]

Therefore, the answer is 30.

Stay safe!

Please assist, I'm really bad with word problems

Answers

Answer:

The surface area of the balloon is [tex]S(t) = \frac{100}{49} \pi t^8[/tex]

Step-by-step explanation:

Given;

S(r) = 4πr²

where;

S is the surface area of the balloon

r is the radius of the surface

The radius of the balloon at time "t" is given as;

[tex]r(t)= \frac{5}{7} t^4 \ \ \ t\geq 0[/tex]

The surface area of the balloon as a function of time "t" is calculated as;

[tex]S(t) = 4\pi (\frac{5}{7} t^4)^2\\\\S(t) = 4\pi (\frac{25}{49} t^8)\\\\S(t) = \frac{100}{49} \pi t^8[/tex]

While at her family reunion, Anaya surveys the people there and makes a list of everyone's ages. She wants to make a data display that shows the youngest age, the mean age, and the oldest age, along with the way the other ages are distributed. What kind of display is her best choice?

A. Box-and-whisker plot
B. Histogram
C. Scatterplot
D. Ogive

Answers

Answer:a box and whisker plot

Step-by-step explanation:

Just took the quiz

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