Tickets to a school dance are sold for $10 each. The student council spent a total of $400 on set-up costs for the dance. The school's profit (p
), in dollars, from the dance depends on the number of tickets sold (1).
Which function describes the relationship between p and 1?

Answers

Answer 1

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

Answer 2

We want to find the equation that represents the school's profit. We will get:

P(x) = $10*x - $400

We know that the tickets to the school dance are sold for $10 each, then the revenue, if they sell x tickets, is just:

r(x) = $10*x

And we know that they spent a total of $400.

Remember that profit is defined as the difference between revenue and costs, so the profit equation is just:

P(x) = $10*x - $400

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Related Questions

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

Answers

Answer:

23.3333333 miles per hour

23 1/3 miles per hour

10.43093333333333 meters / second

Step-by-step explanation:

Take the distance and divide by the time to find the speed

70 miles / 3 hours

1 mile = 1609.34 meters

1 hours = 3600 seconds

70 miles   /3 hours *  1 mile /1609.34 meters * 1 hours / 3600 seconds

10.43093333333333 meters / second

Step-by-step explanation:

speed is normally measured in unit time meaning either per hour,second,minute etc

therefore for this question you will have to find what it travels per hour

if 70 is in three hours what about one hour

therefore

70/3=23.3'

so the speed will be 23.3miles per hour

(the apostrophe is to show recurring you can also round of and ignore it)

A factory employee worked 3/4 of an hour to finish 2/5 of a project. At this rate, how many additional hours will the
employee require to finish the project?
0.45
0.5
1.125
01.25
1.875

Answers

Answer:

1.125 =x

Step-by-step explanation:

We can use ratios to find the  time

We want to find the time needed to finish

1 - 2/5 = 3/5  We need the time for 3/5 of the project

3/4 hours        x hours

---------------- = --------------

2/5 project       3/5 project

Using cross projects

3/4 * 3/5 = 2/5 * x

9/20 = 2/5x

Multiply each side by 5/2

9/20 * 5/2 = x

9/8 = x

1 1/8 =x

1.125 =x

After taxes, Alexandra's take home pay is 3 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $162 of take-home pay. Let s represent your variable. The equation is . Alexandra's salary before taxes for the pay period was $

Answers

Answer:

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540

6c-8-2c=-16+c what’s the value of c

Answers

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

Angle PSR measures 99°. What is the measure of ∠PSQ in degrees?

Answers

Answer:

A. 45°

Step-by-step explanation:

m<PSR is given as 99° = m<PSQ + m<QSR

m<PSQ = (3x + 18)°

m<QSR = (9x - 27)°

99 = (3x + 18) + (9x - 27)

Find the value of x using the expression above

99 = 3x + 18 + 9x - 27

99 = 12x - 9

Add 9 to both sides

99 + 9 = 12x

108 = 12x

Divide both sides by 12

9 = x

x = 9

Find m<PSQ

m<PSQ = (3x + 18)°

Plug in the value of x

m<PSQ = 3(9) + 18

m<PSQ = 27 + 18 = 45°

5-(x/3)when x=12

What’s the answer

Answers

Answer:

When x is 12, [tex]5-(\frac{x}{3})=1[/tex]

Step-by-step explanation:

[tex]5-(\frac{x}{3} )[/tex]

Insert the given value of x:

[tex]5-(\frac{12}{3} )[/tex]

Simplify the expression. Divide 12 by 3:

[tex]5-4[/tex]

Simplify subtraction:

[tex]1[/tex]

:Done

Answer:1

Step-by-step explanation:

Junior wanted to ride a roller coaster at Six Flags. The sign says you have to be 48 inches to ride the roller
coaster. The roller coaster can travel 540 feet in 6 seconds.
1. What is the unit rate of the number of feet per second the roller coaster would move?
HELP

Answers

Answer:

90 feet per second.

Step-by-step explanation:

If it moves 540 feet in 6 seconds, than it moves 540/6=90feet per second.

Not sure what the height requirement has to do with this problem or what 'unit rate' is specifically referring to so this may not be the answer you're looking for but I hope this helped anyway!

i really need help please answer this

Answers

Answer:

Option 1

Step-by-step explanation:

Solve each piece individually first.

4 ^(1/2) = 2

The 4th root of 16 is 2 so 2/2 = 1

So we have:

2 * 1 - 10 ÷ 2

Order of operations.

2 * 1 = 2        10 ÷ 2 = 5

2 - 5 = -3

The answer is the first option.

8|x+2|-6=5|x-2|+3 I don’t understand how to solve this problem

Answers

Answer:

yes

Step-by-step explanation:

2+ 5 is 6

Find the value of x if O is between D & B and DO = 15, OB = 3x + 7, and DB = 9x - 2 x= ____

Answers

Answer:

x = 4

Step-by-step explanation:

DO + OB = DB

15 + 3x + 7 = 9x - 2

3x + 22 = 9x - 2

3x + 24 = 9x

24 = 6x

4 = x

Anyone down to help? 12pts for PRE-ALGEBRA question Use the information in the table for 2–4.

Answers

Answer:

See attached image

Step-by-step explanation:

If the number of blueberries is the x value, and number of calories is the y value, then we can create the ordered pairs (5,4) (10,8) (15,12) based on the data in the table.

Plotting these on the graph is simple - just go to the x value then the y value and plot where these lines meet.

The slope of a line is always the rise over run.

Every time our x increases by 5, our y increases by 4. The rise is 4, and run is 5, so the slope is [tex]\frac{4}{5}[/tex]

Hope this helped!

While on summer vacation, Mr. Duda traveled about 230 miles to a city near Dallas in 3 hours. How many miles
did Mr. Duda travel per hour?

Answers

Answer:

76 2/3 (Rounded = 77)

Step-by-step explanation:

Step 1: Divide 230 by 3.

Step 2: Get your answer.

Answer - 76.66666666...

Hope this helps!

So i missed a day at school and don't know how to solve 1.2/8.4 = w/14.
Can anyone help.

Answers

Answer:

To find W.

1.2/8.4=w/14.

then cross multiply

which is 14×1.2=8.4w.

16.8=8.4w.

w=2

Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal values, what is $x$

Answers

Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

[tex]3x * (x+5) = 3x + 3x + x + 5 + x + 5[/tex]

Now we solve the equation:

[tex]3x^2 +15x = 6x + 2x + 10[/tex]

[tex]3x^2+15x =8x + 10[/tex]

[tex]3x^2+15x-8x-10=0[/tex]

[tex]3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1[/tex]

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

Answer:

[tex]\huge\boxed{x = 1 \ \ \ \ OR \ \ \ \ x = -\frac{10}{3} }[/tex]

Step-by-step explanation:

Length = 3x

Width = x + 5

Area of Rectangle:

=> (Length)(Width)

=> (3x)(x+5)

=> [tex]3x^2 + 15x[/tex]

Perimeter of Rectangle:

=> 2 (Length) + 2 (Width)

=> 2(3x) + 2(x+5)

=> 6x + 2x + 10

=> 8x + 10

Given Condition is:

Perimeter = Area

[tex]3x^2 + 15x[/tex] = 8x + 10

[tex]3x^2 + 15 x -8x - 10 = 0\\3x^2 + 7x -10 = 0\\3x^2 + 10 x - 3x -10 = 0\\x(3x+10) - 1(3x+10) = 0\\(x-1) (3x+10) = 0[/tex]

Either,

x - 1 = 0       OR     3x + 10 = 0

x = 1             OR       3x = -10

x = 1             OR        x = -10 / 3

what is 9 plus 10 anyone lol

Answers

Answer: its 19 . lol

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

10 + 9 =19

PLEASE HELP DUE IN 30 MINUTES!!!
The last two answers for the last question are c. h(g(x))= 1/ (x^2 +4) and d. h(g(x))=1/x^2 +4​

Answers

Answer:

I'm pretty sure the answer to the third question is C

Step-by-step explanation:

We are solving for h(g(x)).

We already know that g(x) is equal to x^2+4.

So know, we can simplify our expression, h(g(x)), to h(x^2+4).

We also know that h(x)=1/x

we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)

May I get some help? Thank you!​

Answers

Answer:

vol. of triangular prism = lbh/2

vol. of rectangular prism = 18 of vol. of triangular prism

18x = 18 + 14x

4x = 18

x=4.5 ft

so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube

81 ft cube get all of them and add after get all the answered then multiply them and you’ll get it which is 81

How to find 9^4 without multiplying four 9s

Answers

You can use the calculator it’s easier and plus you don’t have to put four 9’s

If AC = 18 and CD = 5, AD =

Answers

To get the measurement of AD, you have to add AC and CD together roger your answer of AD=23

solve for n 36=13n-4n​

Answers

Answer:

n = 4

Step-by-step explanation:

36 = 13n - 4n

<=> 36 = (13-4).n

<=> 36 = 9n

<=> n = 36 / 9

<=> n = 4

36=9n
divide by 9
n=4

What is the factorization of the trinomial below?
12x2-x-35

Answers

Answer:

(4x−7)⋅(3x+5)

Step-by-step explanation:

Its that because of the steps that you learn

Answer : -(11+x)

Steps :

12*2-x-35
24-x-35
-11-x
-(11+x)

Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers. 0

Answers

Answer:

Step-by-step explanation:

Natural numbers are otherwise called counting numbers. Numbers you can count, and excludes Zero.

Whole number is a little extension of natural numbers in that, they contain Zero. So, they're counting numbers including Zero and excluding negative numbers.

Integers are whole numbers in general. They also include negative numbers.

Rational number is a number that can be written as ratio. It can be written as a fraction in which both the denominator and the numerator are whole numbers.

Irrational numbers are very opposite to rational numbers, and can not be written as fractions.

Real numbers are the culmination of both rational and irrational numbers

show work plz !!!!!!!!!!!!

Answers

Step-by-step explanation:

5- 24/6 -8(8)

5-4 -64

-65

Answer:

-63

Step-by-step explanation:

insert in the missing value so it will be

5 - 24/6 - 8*8              you do division and multiplication first

24/60=4  and  8*8=64  so

5 - 4 -64 = negative 63

Select all the expressions that are equivalent to
5x + 8y + 2.
(Select all that apply.)
3x + y + 2x + 2 + 7y
8x + 4y – 3x + 4 – 3y
2 +12y + x – 4y + 5x
5y + 7 + x – 5 + 4x + 3y

Answers

Answer:

The expression equivalent are..

3x+y+2x+2+7y

Step-by-step explanation:

here we want to add the variables of the same in this case

3x    1y    

2x     7y   2

__________

5x      8y      2

 

All the expressions that are equivalent to 5x + 8y + 2 are;

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

Four equivalent expressions,

A). 3x + y + 2x + 2 + 7y

B). 8x + 4y – 3x + 4 – 3y

C). 2 +12y + x – 4y + 5x

D). 5y + 7 + x – 5 + 4x + 3y

Simplifying,

A). 5x + 8y + 2.

B). 5x +y + 4.

C). 5x + 8y + 2

D). 5x + 8y + 2.

Therefore, A, C, and D are the equivalent expressions.

To learn more about the equivalent expression;

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Of the 100 children in the sixth grade
class, 76 can go on the end-of-the-year
field trip. What percentage of the
children can go on the trip?​

Answers

Answer:  76%

Any number out of 100 can be quickly converted to percent form by just tacking on the percent sign. This is because "percent" is "per one hundred". Think of 100 cents in a dollar which may help you remember.

So 76/100 = 76%

The correct answer would be 76 percent

The left and right page numbers of an open book are two consecutive integers whose sum is 321
  Find these page numbers.

Answers

Answer:

160 and 161

Step-by-step explanation:

x is the first page and x + 1 is the second page

combine them and you get 2x + 1

2x +1 = 321

this simplifies to

2x = 320

divide by 2

320 = 160

give me brainliest


–2 times the quantity q minus 3

Answers

Answer:

This question was worded weirdly however I am assuming this is algebra and you need the equation. So here- -2(q-3) or -2q+6

Step-by-step explanation:

Distribute the -2, to all the terms in the parenthesis of -2(q-3) you get 2q+6

If you didnt know how to get -2(q-3), -2(multiplied) by q-3, you use parenthesis to make sure you know it is multiplication in front of the parenthesis.

Hope I could help!

Yin practiced 604 minutes of piano. She plans to reach 700. How much minutes does she need to reach her goal?

Answers

Answer:

She needs

96 minutes

to reach her goal

Step-by-step explanation:

700 - 604 = 96

Answer:

96 minutes

Here is the way to do it-

Yin's goal = 700

Yin's progress- 604

700 - 604 = 96.

The answer is 96. Hope this helps!

find the equation of the line parallel to H passes through (-4,2)

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m of H using the slope formula

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

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = [tex]\frac{-2+3}{3-0}[/tex] = [tex]\frac{1}{3}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 4, 2) into the partial equation

2 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 2 + [tex]\frac{4}{3}[/tex] = [tex]\frac{10}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{10}{3}[/tex] ← equation of parallel line


Celina and Zoe both sing in a band.
One evening the band plays for 80 minutes.
Celina sings for 65% of the 80 minutes.
8
Zoe sings for of 5/8 of the 80 minutes.
Celina sings for more minutes than Zoe sings.
Work out for how many more minutes.

Answers

Step-by-step explanation:

65% of 80= 80×0.65 = 52mins

5/8 of 80= 5/8×80 = 50 mins

more mins = 52-50= 2 more min
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