Your soccer team is holding a silent auction dinner as a fundraiser to pay for school uniforms. The list shows all the expenses for the silent auction.

A tablet that costs $350
Football tickets that cost $150
A gift card that cost $125
The cost of the food is $500
The members of the soccer team will be selling tickets to the silent auction. A ticket to the silent auction includes chances to win prizes and dinner. The ticket cost is set so that 45 tickets will pay for the cost of the prizes and food.

Build a function that can be used to find the total profit, f(x), the soccer team earns by selling x tickets. Show your work to build this function.

Answers

Answer 1

Answer:69

Step-by-step explanation:

A) $16

B) p(x) = 16x -800

C) 69 ticketsn:

A) The total of expenses is ...

$280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

$800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

p(x) ≥ 300

16x -800 ≥ 300 . . . . . use the expression for p(x)

16x ≥ 1100 . . . . . . . . . add 800

x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.


Related Questions

Help due in 10 minutes

Answers

Answer:

II and III are right

Step-by-step explanation:

The reason I is wrong is the zeros are (-2, 0) and (4, 0)

Suppose that an individual has a body fat percentage of 13.6% and weighs 189 pounds. How many pounds of his weight is made up of fat? Round your answer to the nearest tenth.






HELPPPPPP!!!!!!!!!!

Answers

Answer:

25.7 lbs

Step-by-step explanation:

189/100=1.89

1.89*13.6=25.704

25.7 lbs

Answer:

25.7

Step-by-step explanation:

You need to do 13.6 percent of 189 which is 25.704 without rounding

Round that to the nearest tenth and you have 25.7

Hope I helped :)

7/6 written as a mixed number

Answers

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

Elizabeth is going to invest $480 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Elizabeth to end up with $670?

Answers

Answer:

4.2

Step-by-step explanation:

took a bullet for the team

Elizabeth would need an interest rate of 4.25% to make a profit of $670, to the closest hundredth of a percent.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

Given, Elizabeth is going to invest $480 and leave it in an account for 8 years.

from the formula of compound interest

A = P(1 + r/n) ^nt

in our case,

A =670

P = 480

t = 8

Thus,

670 = 480(1 + r)^8

r = 4.25%

Therefore, an interest rate, to the nearest tenth of a percent, would be 4.25% required in order for Elizabeth to end up with $670

Learn more about compound interest here:

https://brainly.com/question/29335425

#SPJ2

Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?

Answers

Answer:

25 ≤ 2.5n

Step-by-step explanation:

Total budgeted amount = $25

Cost per pack of = $2.50

To represent the relationship using inequality :

Let the Total number of packs purchased = n

Hence,

Total budgeted amount ≤ (cost per pack * number of packs)

25 ≤ 2.5n

This means the total actual purchase made should be less than or equal to the budgeted amount.

PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp plsssss

Answers

the answer is 17 because a right angle is 90 and you subtract 73 from it and get 17

Answer:

Complementary angles sum to 90°

x + 73° = 90°x = 90° - 73°x = 17°

Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x

Answers

a Binomial is 2 terms

so the solution is

A

B

E

Answer:

A, B, and E

Step-by-step explanation:

Binomials are equations that consist of two terms.

70/5.2 + 16-1 helppppp

Answers

Answer:

28.4615384615

28.46

Step-by-step explanation:

Answer:

28.46, if this help please subscribe to amiredagoat Yt i wanna change the world.

Step-by-step explanation:

HELP PLSSSSSSS
NO LINKS​

Answers

Answer:

Is there anything else to this like a description or a sentence?

Step-by-step explanation:

Sorry I need more than this

8x−2=−11+7x +2
Please help me!!

Answers

Answer:

x=-7

Step-by-step explanation:

8x - 2 = -11 + 7x + 2

First, separate the terms: move x to one side

subtract 7x from both sides

8x -7x - 2 = -11 + 7x -7x + 2

x - 2 = -11 + 2

Now get x by itself by adding 2 to both sides

x - 2 +2 = -11 + 2 +2

x = -11 + 4

simplify

x = -7

you're welcome

Find the value of x and classify the triangle plzzz

Answers

Answer:

x=24°

The triangle is an obtuse isosceles triangle

Step-by-step explanation:

This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.

The interior angles of a triangle add up to 180, so let's make an equation.

132+2x=180

Then solve for x

subtract 132 from both sides

2x=48

Divide by 2 on both sides

x=24

The answer would be X=24 obtuse isosceles triangle

Which relationship is always true for the angles x, y, and z of triangle ABC? (4 points)

x + z = y

y + z = x

x + y + z = 180 degrees

x + y + z = 90 degrees

Answers

Answer:

y + z = x

Step-by-step explanation:

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?

A. $5.00

B. –$1.33

C. $3.00

D. –$3.00

Answers

Answer:

I would say D

Step-by-step explanation:

I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks

A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *

Answers

Answer:

2m = x

x being the number of tables

Step-by-step explanation:

2 tables = 1 minute

x tables = m

(cross multiply)

2m = x

x being the number of tables

30% of the 90 students in sixth grade are in the drama club. How many sixth graders are in the drama club?

Answers

Answer: 27 kids.
Explanation: Multiply 30%, or 0.3, by 90. That will find your answer. Hope this helps!

Answer:

27

Step-by-step explanation:

Multiply 90 by 0.3 and you have your answer

Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds

Answers

Answer:

13 pounds

Step-by-step explanation:

We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:

205 - 192 = 13 pounds

That means that the box and the packaging is 13 pounds. Hope this helps!

what is summer academy help fr fr ☝️

Answers

Answer:

Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.

Step-by-step explanation:

Answer:

                                                                               

Step-by-step explanation:

Please help me with this one

Answers

Answer:

2/36

Step-by-step explanation:

The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3

Please help me ASAP!!

Answers

Answer:

n = 6[tex]\sqrt{3}[/tex]

Step-by-step explanation:

you can create this proportion:

18/n = n/6

cross-multiply:

n² = 108

n = [tex]\sqrt{108}[/tex]

[tex]\sqrt{108}[/tex] = [tex]\sqrt{4}[/tex]·[tex]\sqrt{9}[/tex]·[tex]\sqrt{3}[/tex] = 2·3·[tex]\sqrt{3}[/tex] or 6[tex]\sqrt{3}[/tex]

Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1

Answers

Answer:

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Step-by-step explanation:

Sea una recta:

f(x) = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:

g(x) = a*x + c

Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)

Entonces podemos escribir la línea perpendicular a f(x) como:

h(x) = -(1/a)*x + c

Ahora veamos nuestras líneas:

A(x) =  y = −3*x+5

B(x) = y = x/3+2 = (1/3)*x + 2

C(x) = y = -3*x + 1

Primero veamos cuáles son paralelas:

A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces  A y C son paralelas.

Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:

-(1/-3) = 1/3

Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

What is the definition of the slope of a line?

Answers

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
In mathematics the slope or gradient of a line is a number that describes both the direction and the steepness of the line

5.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.

Answers

Answer:

B

Step-by-step explanation:

75 divided by 3 = 25

so 25 dollars each day

Answer:

B. 25/1 dollars per day; the cost is $25 for each day.

Step-by-step explanation:

Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5

Answers

Simplify A:

2(x+3)-2

Use distributive property:

2x+6-2

Combine like terms:

2x+4

This is the same as B.

A and B are equivalent.

A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning

Answers

The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets

Collecting-

-4s + 5 + 5s - 3s​

Answers

-2s+5 is the answer I think.

You combine like terms

Answer:

-2x+5

Step-by-step explanation:

Let's simplify step-by-step.

−4x+5+5x−3x

=−4x+5+5x+−3x

Combine Like Terms:

=−4x+5+5x+−3x

=(−4x+5x+−3x)+(5)

=−2x+5

Hope this helps :)

36^x-2=6 solve for x

Answers

Answer:

x = [tex]\frac{in (8)}{in (36)}[/tex]  if you consider doing decimal form x = 0.58027921. . .

Step-by-step explanation:

Take logarithm of both sides of the equation to remove the variable from the exponent.

Find the value of x and y that will make each quadrilateral a parallelogram.​

Answers

Answer:

to solve for x. So, x = 4 and y = 3. COORDINATE GEOMETRY Graph each quadrilateral with the given vertices. Determine

Plz help i have been asking this question too much

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

help me please

:)


i really need it

Answers

Answer:

3.5 qt or 3 qt and 2c

Step-by-step explanation:

4 cups makes 1 quart

14/4 = 3.5

Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.

Answers

The rate of growth is the first derivative.

f(x) = x2

f'(x) = 2x

g(x) = 1000x2

g'(x) = 2000x

f'(x) ≠ g'(x)

f(x) and g(x) DO NOT grow at the same rate.

Answer:

You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing.  The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate

Step-by-step explanation:

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