A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2

Event Cost: 500+20x

If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.



A
$5.69≤x

B
$5.69≤x≤$12.33

C
$3.29≤x

D
$3.29≤x≤$21.29

Please help.

Answers

Answer 1

The value of the x should be more than or equal to 5.69. Then the correct option is A.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153


Related Questions

Non example of complex fraction.

Answers

Answer:

42/6

Step-by-step explanation:

:P

Slove 4(5x-2)= 2(9x+3)

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S

Answers

Answer:

576.97

Squared

x+7<13.
^^^^^ answer please & show work .

Answers

Step-by-step explanation:

what is the constant of proportionality of p=5a

Answers

Answer:

=5x

Step-by-step explanation:

your question might have a different variable witch is the letter at the end

HURRY, PLEASE HELP!!!

Answers

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6 miles. The angle of depression, q, to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A. Write a function for q in terms of d.

Answers

We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m

Using the principle of trigonometry, the angle of depression, q can be expressed in terms of the horizontal distance, d as [tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Using Pythagoras :

SOHCAHTOA

Horizontal distance, d to shipwreck A is added to the distance between shipwrecks A and B to obtain the total horizontal distance

Total horizontal distance = opposite = (d + 0.6) miles

Vertical distance = Adjacent = 2.5 Miles

To obtain the angle of depression, q :

Tanθ = opposite / Adjacent

[tex] tan q = \frac{opposite}{adjacent}= \frac{total \: horizontal \: distance}{height} [/tex]

[tex] tan q = \frac{d + 0.6}{2.5} [/tex]

Therefore, q can be written in terms of d thus ;

[tex]q = tan^{-1} [\frac{(d + 0.6)}{2.5}] [/tex]

Learn more : https://brainly.com/question/17350482

What is the quotient of -32/8?

Answers

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

[tex] - 32 \div8 = - 4[/tex]

Answer is -4

REAL NAME - SHRESTH DUBEY

-4 is the Answer.

-32/8 would be -4

Find the y-intercept of the equation y = -0.5x - 3

Answers

Answer: -3

Step-by-step explanation: When you graph this that’s what you get

Answer:

-3

Step-by-step explanation:

the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:

y = -0.5x0 -3

Now you can ignore that first part of the equation because it equates to 0, and so you get:

y= 0 - 3

which equals:

y=-3


The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.

Answers

Answer:

103 at most and 87 at least

Step-by-step explanation:

95-8=87 seeds

95+8=103 seeds

Answer with step-by-step explanation:

Max: 25 + 3 = 28

Min: 25 - 3 = 22

Hope this helped!

A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?

Answers

Answer:

40,000 songs, I think

Step-by-step explanation:

3xsquared +13x-10

HELPP PLEASE

Answers

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?

Answers

Answer:

83 points.

Step-by-step explanation:

There are 90 people in a group.
A sixth of the people in the group are men.
The number of women in the group is 2 times the number of men in the group
The rest of the people in the group are children.
the number of children in the group : the number of men in the group = n: 1
Work out the value of n.
You must show how you get your answer.

Answers

Answer:

n=3

Step-by-step explanation:

90×1/6=15 men

15*2=30 women

90-15-30=45 children

45 children: 15 men

3:1 ratio of children to men

n=3

Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?

Answers

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

Express 48 as a product of its primes.

Answers

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.

Answer:

2 x 2 x 2 x 2 x 3.

Step-by-step explanation:

^^^

Passes through (-2, 6) with a slope of -1/4.

Answers

1/4x+6.5 decimal form 0.25x+6.5
or
1/4(x+26) decimal form 0.25(x+26)

HELP ASAPPPPP PLEASE

Answers

Answer:

13. -200, balance on car loans

14. 8, monthly payments

15. linear eqn, y=ax+b

16.values of y will decrease.(although i think the graph will remain linear)

17. as the monthly payment decrease so does the balance on car loan decrease.

The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?

Answers

Answer:

it was decreased by 67%

Step-by-step explanation:

Answer:

67 %

Step-by-step explanation:

i need help with this​

Answers

B is the answer ...............

Answer:

answer is A

Step-by-step explanation:

This symbol is called a tilde. In symbolic logic (a field of math  

used a lot in computer sciences) it is used to denote "not." For  

example, ~A means "not A." In some other contexts, it means  

"approximately." For example, pi ~= 3.1416. (Note that sometimes it is  

written above the equal sign, and sometimes it is used without an  

equal sign - it depends on the situation and the publisher.)

Jacks boat rental charges a $15 deposit fee $2 for each hour use to rent a paddle boat. Write an equation for C, the total cost,to rent the boat for h hours.

Answers

c= 15 + 2h
2h reprents the totals of hours times the 2 dollar hour use.
the 15 is added because its the deposit fee

Please find X. I need help!

Answers

There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have

2/3 = (2 + x) / (3 + (x + 7))

Solve for x :

2/3 = (2 + x) / (10 + x)

2 (10 + x) = 3 (2 + x)

20 + 2x = 6 + 3x

14 = x

anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out

Answers

Answer:

Step-by-step explanation:

Coco butter

A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.

Answers

Answer:

yes

Step-by-step explanation:

The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²

Answers

Answer:

Step-by-step explanation:

Lateral surface area of cube = 4a²

4a² = 400

   a² = 400÷4

  a² = 100

 a = √100 = √10*10

a = 10 cm

Total surface area = 6a²

                               = 6 * 10²

                               = 6* 100

                               = 600 cm²

Answer:

A

Step-by-step explanation:

I believe that I did this before.

Write the expression below as a product of two factors.

12n + 8m - 4

Answers

Answer:

4(2m + 3n - 1)

I hope this helps!

Answer:

12=3*4 or 6*2.   8=4*2  and -4=4*-1

is the factors.

1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).

Answers

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Find |x| when x = – 15.
HELP ME PLEASEE

Answers

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.


Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you

Answers

Answer:

2. B=240-15x

Step-by-step explanation:

Answer:

The answer is B = 240 - 15x

Step-by-step explanation:

Which statement is modeled by 2p + 5 < 11
Group of answer choices

The sum of 5 and 2 times p is at least 11

5 added to the product of 2 and p is less than 11

2 times p plus 1 is at most 11

the product of 2 and p added to 5 is 11

Answers

Answer: 5 added to the product of 2 and P is less than 11

The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!
Other Questions
There are 12 students in the gym class. If 4 students can sit on 1 bench, how many benches are needed for all students ? A 4-pack of museum tickets costs $30.28. What is the unit price? HURRY PLEASE!!The particles of solids are packed together tightly, so sound waves travel faster through solids than through liquids or gases. How do light waves differ from sound waves?A. Light waves require a medium and travel fastest through liquidsB. Light waves require a medium, but travel fastest through a vacuumC. Light waves do not require a medium, but travel fastest through solidsD.Light waves do not require a medium and travel fastest when in a vacuum A relationship between living things that depend on the sameresources at the same place and at the same time is called estimate the answer for 1 2/3 x 5 1/10 (type a whole number hey! i dont get this questionbut if you do it would be nice if u could help me! :)) What was the main reason that the Aztecs became very powerful in the fifteenth century?A. They controlled the commercial trade in a vast area.B. They created new products to trade with other groups.C. They controlled the routes used to trade with the Spanish.D. They imported new trade goods from the Europeans. Hurry pls I will give you the brainliest. What advantages did Nubia's location provide? Choose four correct answers.good weather for farminglocation next to the oceanmany natural resourcesstrong defenses from invadersaccess to different trade routeslocation on a calm area of the Nile uhmmmmm hiii!so uhm how is everyone and someone answer dis for me Two factors that influence someone's culture are????____ Carbonic acid, H2CO3, has two acidic hydrogens. A solution containing an unknown concentration of carbonic acid is titrated with potassium hydroxide. It requires 22.9 mL of 1.430 M KOH solution to titrate both acidic protons in 54.2 mL of the carbonic acid solution. Required:a. Write a balanced net ionic equation for the neutralization reaction. Include physical states.b. Calculate the molarity of the carbonic acid solution. How do compounds differ from mixtures such as lemonade Which example seems most like an informal discussion? a chat with friends about a TV show that aired last night a classroom conversation about a current events issue a teacher-student conference about an upcoming report a committee meeting in the conference room of an office Why does the Fourteenth Amendment start witha definition of a citizen? what does MA 2 means? What ways was the egyptian religion similar to religion practiced in Mesopotamia? If b^2 = 25 then b= Answer it please what is a good sentence with mustache in it? Has to be about 2 sentences and i will give brainiest answer Which receptors are involved in detecting a hot pan and the resulting feeling of pain?O mechanoreceptors and photoreceptorsO nociceptors and thermoreceptorsphotoreceptors and nociceptorsO mechanoreceptors and thermoreceptors The three basic structures for bacteria are:[mark all correct answers]a. bacillusb. anaerobesc. aerobesd. spirillumO e. coccus What course of action did the Iroquois Confederacy take in the conflict between the British and the French?