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

Write the number in scientific notation: 0.00000199?

Answers

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

1.99

×

10

6

Step-by-step explanation:

By definition, what is the number i equal to?

Answers

Unit Imaginary Number

The square root of minus one √(−1) is the "unit" Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

16
Which of the following expressions are equivalent to 25 -
5
? Select all that apply.
1 16
25 5
(25x16)
5
(25x5)
16
125
16
0 0 0
1
25
х
5
16

Answers

Answer:

1,16, that is the answers

1. Write 1980 in scientific notation

Answers

Answer:

1.98 x 10³  

Step-by-step explanation:

1980  

= 1.98 x 1000   (note 1000 can be written as 10³)

= 1.98 x 10³   (answer)

Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.

(I) Buy 2, get two free (II) 45% off (III) 1/2off
The best deal would be either .
Either case would result in a discount of %,
which is better than the other alternative of %.
PLZ ANSWER ASAP!

Answers

Answer

Buy 2, get 2 free and/or 1/2 off

Step-by-step explanation:

OK, lets say that the tire price was 15. (l)= 15+15=30 (ll)= 15/45%= 33.33x4=133.32 (lll)= 15/2=7.5   7.5x4=30

i'm confused with this who knows about this?​

Answers

Answer:

its C :)

Step-by-step explanation:

PLEASE HELP A GIRL OUT !!!!!!! UwU
Explain how to write a linear equation from a word problem in the slope-intercept form. Explain in detail what words you are looking for in the problem. Use complete sentences. Must inlclude capital letters and punctuation where needed.

Answers

It depends on the problem, but here's an example.

Let's say you earn $20 an hour and you already have $100 in the bank. If you work x hours, then you'll have 20x additional dollars on top of the $100 you already have. So in total you have y = 20x+100 dollars

x = number of hours worked

y = total amount of money

This does not take into account taxes or other kinds of fees/deductions from your paycheck.

Comparing y = 20x+100 with y = mx+b, the slope is m = 20 and the y intercept is b = 100.

The slope tells us how fast the money increases (since it's the rate of change). In this case, slope = rise/run = 20/1 meaning that for each hour, the money goes up by $20.

The y intercept is the starting value which in this case is $100. If you worked x = 0 hours, then you'll still have that $100.

what are the next 2 sequences to 5, 1, 6, 7, 13, 21, 34,

Answers

Answer:

55,89

Step-by-step explanation:

Here we see a sequence where the pattern is achieved by adding each new term to the term before to get the next term

5+1=6

1+6=7

6+7=13 etc

So for the next two terms: 21+34=55

55+34=89

Answer:

5, 1, 6, 7, 13, 21, 34, 51, 77

Solution:

Next possible number in the given sequence I. -4,1,8 is 17

Next possible number in the given sequence II. 5,6,13 is 26

☆ The next 2 number for given series -4,5,1,6,8,13 are 17,26

☆The next 2 number for given series 5,1,6,7,13,21,34 are 51,77

Please help me, I have too many points and willing to give more than the lowest away.

Answers

Answer:

the inequality is +/- 3°C(if this refuses in the computer,try writing +/- T)

range from 34 to 40.

An electronics store is selling car chargers for cell phones. The expense function is E = - 300p + 13, 000 and the revenue function is R = - 32p ^ 2 + 1, 200p. What would that maximum revenue be?

Answers

Answer:

Wala akong pake kasi ndi naman ako marunong sa math

Which of the following expressions is equivalent to x - 9 - 3x + 2y + 3 – 2?

A.4x + 2y + 14
B.3x + 2y + 1
C. X-9
D.2x + 2y - 8

Answers

it is D because

-3x + x = 2x

2y

3 - 9 - 2 = -8

2x +2y -8

so it’s D

(11x - 1)
(20x – 3)
151°

Answers

Answer:

x= 1.6 degrees

Step-by-step explanation:

to find the missing angle 180 degrees - 151 degrees

29° is the missing angle at the bottom ryt of the triangle.

all angles in triangle add upto 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x= 1.6°

A polygon with three edges and three vertices is called a triangle.

x=1.6° is its value.

Explain about the triangle?

Based on the lengths of its sides, triangles can be categorized into one of three groups: Scalene. Isosceles. Equilateral.

The trigon, a 3-sided polygon, is sometimes (though not often) referred to as a triangle. Every triangle has three sides and three angles, some of which might be the same.

The triangle's angles are created by joining its three sides end to end at a single point. The sum of the three angles of the triangle is 180degrees.

To identify the omitted angle between 180 and 151 degrees

The triangle's bottom right corner lacks a 29° angle.

triangle's angles sum up to 180°

so, 20x-3°+11x-1°+29°= 180°

31x=180°-25°

x =1.6 degree

To learn more about triangle refer to:

https://brainly.com/question/17335144

#SPJ2

what is congruent and supplementary??

Answers

Answer:

1. Two angles are called complementary when their measures add to 90 degrees.

2. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

What is the value of x?
70°
12x + 14

Answers

Answer:

[tex] \frac{14 }{3} [/tex]

Step-by-step explanation:

12x=70-14=56

x=

[tex] \frac{56}{12} = \frac{14}{3} [/tex]

Which of the statements is also true in Spherical geometry?

Answers

I think all of them are true

What’s 4(60+78)-9, I need help, I’m having a brain fart

Answers

Answer:

543

Step-by-step explanation:

4(138)-9

552-9

543

Answer:

543

Step-by-step explanation:

based on PEMDAS

paranthesis first 60+78= 138

then you would multiply 4x138=552

then you would 552-9= 543

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

Answers

Answer:

C. Brian and Damien both answered 2 more questions correctly than Chris did.

Step-by-step explanation:

A. Brian and Damien both answered 2 fewer questions correctly than Chris did.

B. Brian and Damien both answered 4 more questions correctly than Chris did.

C. Brian and Damien both answered 2 more questions correctly than Chris did.

D. Brian and Damien both answered 4 fewer questions correctly than Chris did.

Let

B = number of questions Brian got right

C = number of questions Chris got right

D = number of questions Damien got right

The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right.

B = 14 + (1/4) * C

Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly.

D = (5/4) C - 2

If Brian and Damien have the same score,

14 + (1/4) * C = (5/4) C - 2

14 + 1/4C = 5/4C - 2

14 + 2 = 5/4C - 1/4C

16 = 5C-C/4

16 = 4/4C

C = 16

B = 14 + (1/4) * C

= 14 + 1/4*16

= 14 + 4

= 18

D = (5/4) C - 2

= 5/4*16 - 2

= 5*4 - 2

= 20 - 2

= 18

Find the perimeter of the polygon with the vertices Q( – 3, 2), R(1, 2), S(1, - 2), and T (-3, -2).
, -2)

Answers

Answer:

Step-by-step explanation:

3(2x+4)=-18
What is x and how do you solve

Answers

Answer:

x=1

Step-by-step explanation:

divide by 3 and then -4 and then divide by 2

Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answers

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

what is the slope of (2,-2) and (5, -6) ?

Answers

Answer:

-4/3

Step-by-step explanation:

Answer:

m = - 4 /3

Step-by-step explanation:

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m = y2 - y1 / x2 - x1

m =( -6) - (-2)/ 5 - 2

m = -6 plus 2 / 3               I put plus because negative times negative is plus

m = -4 / 3        negative 6 plus 2 is -4

To find y2, y1, x2 and x1 you have look on the two points that they gave you.

(2, -2), The x1 is 2 and y1 is -2

(5,-6), The x2 is 5 and y2 is -6

does car size and mpg have a positive, negative, or no correlation?

Answers

No correlation towards each other

Solve for p in the literal equation 5p + 6r = q.

Answers

Answer:

p = q /2 − 5 r /2

Answer:

5p+6r=q, move the variable 6r to the right which makes it a negative.
5p=q-6r, divide both sides by 5.
p=1/5q-6/5r should be your answer

please help important!!!!!!!!!!!!!

Answers

Answer:

the answer is B!! hopefully this helps

At the beginning of the year, John had $40 in savings and saved an additional $13 each week thereafter. Isaac started the year with $80 and saved $9 every week. Let J represent the amount of money John has saved tt weeks after the beginning of the year and let I represent the amount of money Isaac has saved t weeks after the beginning of the year. Write an equation for each situation, in terms of t, and determine the number of weeks after the beginning of the year until John and Isaac have the same amount of money saved.

Answers

john- 40+t13= j
isaac- 80+t9=i
They would have the same amount of money after 10 weeks
john- 40+(10•13)= 170
isaac- 80+(10•9)= 170

is -√9 an irrational or rational number?

please
please
help
me!​

Answers

Answer:

It is rational because the answer is -3

Step-by-step explanation:

-3 can be writen as a fraction so it is a rational number.

Answer:

That is a rational number

Step-by-step explanation:

[tex]\sqrt{9}[/tex] = 3.

Therefore, -[tex]\sqrt{9}[/tex] = -1(3) = -3.

-3 is RATIONAL.  

write an equation that is parallel to the equation (-3,-5) and (1,7) and goes through the point (2,4)

Answers

You didn't give an original equation, just the two points so I'm just going to go ahead and assume that b = 0, but in reality, it doesn't really matter what it equals I think.

Slope intercept form:

First, we find the slope, so we do y1-y2/x1-x2 which is 3. So then we do y=mx+b so 4=3(2)+b. Then we do 4=6+b. So, b = -2.

So the equation is y=3x-2

Find the slope which we already know. Plug into y-y1=m(x-x1).

y-4=3(x-2)

y-4=3x+6

M= 1/2
M= 2
M= -1/2
M=-2

Answers

Answer:

It should be 1/2

Step-by-step explanation:

the slope is =1/2 so the first option

pic below................................
answer ASAP

Answers

Answer:

The answer is C.-216

Step-by-step explanation:

Answer:

C.)-216

Step-by-step explanation:

Since -6 is negative, it makes it become a positive when multiplyed, and then back to a negative when multiplyed again.

What is the slope of the line that contains the points (-2,6) and (6,-3)?

Answers

m = -9/8 (slope)

This means 9 down, and 8 right.

_________________________

To calculate the slope, just use this formula:

[tex] m \: = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

y2 or x2 can also be thought of as just y and x. This is because only a slope, and one point is needed to solve for another point that fits on the line.

Given point 1 : (-2,6), and point 2 : (6,-3).

We can find slope by: point 2y - point 1y/ point 2x - point 1x =

(-3-6)/(6-(-2)) = (-9)/(8) = -9/8

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