A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is $100 plus $2 per day. The fee for a game booth is $50 plus $3 per day. The fair lasts for n days, and all the booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the company is paid.

Answers

Answer 1

Answer:

2,250 + 95n

Step-by-step explanation:

Cost of a food booth = 100 + 2n

Cost of 10 food booth = 10(100 + 2n)

= 1,000 + 20n

Cost of a game booth = 50 + 3n

Cost of 25 game booth = 25(50 + 3n)

= 1,250 + 75n

Total amount earned by the company = Cost of 10 food booth + Cost of 25 game booth

= (1,000 + 20n) + (1,250 + 75n)

= 1,000 + 20n + 1,250 + 75n

= 1,000 + 1,250 + 20n + 75n

= 2,250 + 95n

Total amount earned by the company = 2,250 + 95n


Related Questions

what is root3(root3 - 1)

Answers

Answer:

3 - root3 or 3 - √3

Step-by-step explanation:

root3(root3 - 1) =√3(√3 - 1) =√3(√3) - √3(1) = √3² - √3 =3 - √33 - root3

[tex]\boxed{\blue{ 3-\sqrt{3} } }[/tex]

Step-by-step explanation:

[tex]\bold{\sqrt{3}(\sqrt{3}-1) }[/tex]

[tex]\bold{\sqrt{3}(\sqrt{3})-\sqrt{3}(1) }[/tex]

[tex]\bold{(\sqrt{3})^2-\sqrt{3} }[/tex]

[tex]\bold{ 3-\sqrt{3} }[/tex]

Marty had 10 pens. Four of these pens were blue. What is one way to show the ratio of blue pens to the total number of pens Marty had?

Answers

Answer: 2:5 or 2/5

Step-by-step explanation:

Since he has 10 pens, that will be the denominator and the # of blue pens will be the numerator. This gives you 4/10 which you simplify to get 2/5.

4y + 10 = 5x 2.5x + 2y = -10​

Answers

Answer:

are they seperate equations?

Step-by-step explanation:

a diagram shows y = x + 5 what description is correct an increase by 5/6 a decrease by 5/11?​

Answers

Step-by-step explanation:

nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn

6-9 questions that’s all

Answers

6. 8
7. 16.8
8. 92 degrees
9. 53 degrees

y=x+5
x-5y=-9
Can someone please help ASAP

Answers

X = -4
Y = 1

1 = -4 + 5
-4 - 5(1) = -9

What is the slope of the line 6x + y = 24?

Answers

Answer:

-6

Step-by-step explanation:

You need to get it in Point-Slope form, or

y = mx + b

Isolate y by subtracting 6x

You are left with:

y = -6x + 24

M is the slope, so in this case, it is -6

Answer:

The slope is -6/1 but the slope-intercept form is y=-6x+24

Step-by-step explanation:

y=mx+b

6x+y=24

first you want to subtract 6x from each side.

y=-6x+24

m=-6x or -6/1

b= 24

Jonah bicycled 12 miles in 4 hours. What is the unit rate?
3 miles per hour
8 miles per hour
16 miles per hour
48 miles per hour

Answers

Answer:

3 mph

Step-by-step explanation:

12 divided by 4 is 3

Answer:

The answer is A

Step-by-step explanation:

(BRAINLIEST)PLEASE HELP ASAP!!

Answers

Answer:

(0, 3), (2, -1), (-6, 15)

Step-by-step explanation:

I recommend you use desmos scientific calculator for these problems.

So first you'll wan't to plug in the expression:

y=-2x+3

Then you''l want to put x= then the domains.

x=0, 2 or -6. (it doesn't matter as long as you put them in one at a time.)

youll then get each answer as you plug the numbers in.

x=0 y=3

x=2 y=-1

x=-6 y=15

Sorry if it wasn't clear to understand I'm doing my work at the same time as helping others.

(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.

(1) Calculate the radius
(2) Calculate the length of CD​

Answers

Answer:

1) Radius = 17 cm

2). CD = 19.3 cm

Step-by-step explanation:

1). O is the center of the given circle.

 By joining the center and point A located at the circumference of the circle,

 OA = radius of the circle.

 Length of chord AB = 30 cm

 "Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"

  By the given property, OM equally divides the chord AB.

 AM = MB

 AM = [tex]\frac{1}{2}(AB)[/tex]

 AM = [tex]\frac{10}{2}[/tex] = 5 cm

 By applying Pythagoras theorem in ΔOAM,

 AO² = OM² + AM²

 AO² = 8² + 15²

 AO =  √289

 AO = 17 cm

 Therefore, radius of the circle = 17 cm

2). Since, OT, OC and OA are the radii of the given circle,

  OT = OC = OA = 17 cm

  ON = OT - NT

         = 17 - 3

         = 14 cm

   By applying Pythagoras theorem in ΔOCM,

   OC² = ON² + CN²

   17² = 14² + CN²

   CN = [tex]\sqrt{(17^2-14^2)}[/tex]

         = [tex]\sqrt{93}[/tex]

         = 9.64 cm

     Since, CD = 2(CN)

      CD = 2 × 9.64

             = 19.29 cm

              ≈ 19.3 cm

GIVING BRAINLIEST SOMENE PLS HELP IM FAILING

Answers

I think it's D. 7
...................

Answer:

[tex]\mathrm{D.\:} 7[/tex]

Step-by-step explanation:

A proportional function is given by [tex]y=kx[/tex] for some constant [tex]k[/tex]. We can plug any coordinate this line passes through to find this constant:

[tex]21=k(3),\\k=\fbox{$7$}[/tex].

Can someone help (8 grade math)

Answers

Answer:

B) 110.92 u²

Step-by-step explanation:

to find the surface area, find the area of each side and add them together.

here are all 6 sides:

4.5 * 6.8

4.5 * 6.8

4.5 * 2.2

4.5 * 2.2

2.2 * 6.8

2.2 * 6.8

4.5 * 6.8 = 30.6

4.5 * 6.8 = 30.6

4.5 * 2.2 = 9.9

4.5 * 2.2 = 9.9

2.2 * 6.8 = 14.96

2.2 * 6.8 = 14.96

30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96

110.92




Can someone help me I need it to be broken down

Answers

Answer:

[tex]x + 23 + x + 80 = 180 \\ 2x + 103 = 180 \\ 2x = 77 \\ x = 38.5[/tex]

Number 1 helppppppppppppppppp

Answers

Answer:

infinitely many solutions

17c+7c-6c^6+2c^8 the polynomial standard form is _​

Answers

2c^8-6c^6+24c is the standard form.
have a great day!

Can y’all help me with this plz

Answers

Answer:

c

Step-by-step explanation:

Please somebody help me with this

Answers

Answer:

the answer is C

Step-by-step explanation:

2x - 3y > -12

3x + 2y < or = 18

Hello! I will give you fifteen points if you solve this correctly!

Answers

Answer:

mark each line about 1 in. apart

Plzzzzz give me Brainliest!!!!!  

my brother needs help with this

Answers

Answer:

You cant do 4x+24

7 (5)= 35

7 (2) 14

35+14-49=0

Step-by-step explanation:

Find the value of x. Round to the nearest tenth. Can you please give me the step by step?

Answers

Answer:

x = -4.4

Step-by-step explanation:

i hope this can explain?

help me please this one is timed faster

Answers

Answer:

The slope is 3 and the y-intercept is 2.

Step-by-step explanation:

Slope is 3/1, following the line up 3 and over 1. The line crosses the y-axis at (0,2), so the intercept is 2. The slope-intercept can then be written as y=3x+2.


Write an expression for the sequence of operations described below.
add 3 and the sum of 9 and v
Do not simplify any part
the expression.
Submit

Answers

Answer:

We conclude that:

''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:

3 + 9 + v

Step-by-step explanation:

Given the statement

''add 3 and the sum of 9 and v''

Let us break down the statement

Let the number be:  vThe sum of 9 and v: 9+v

so

Adding 3 and the sum of 9 and v will be: 3 + 9 + v

Therefore, we conclude that:

''add 3 and the sum of 9 and v'' is algebraically represented by the expression as:

3 + 9 + v

Look for a Pattern: In a recent year. One United States dollar was equal to about 82 Japanese yen. How many Japanese Yen are equal to $100? $1,000? $10,000?

Answers

Answer:

[tex]\$100 = 8200\ Yen[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Step-by-step explanation:

Given

[tex]\$ 1 = 82\ Yen[/tex]

Solving (a): Equivalent of $100

Represent this with x.

So, we have:

[tex]\$100 = x[/tex] and

[tex]\$ 1 = 82\ Yen[/tex]

Cross Multiply:

[tex]x * \$1 = 82\ Yen * \$100[/tex]

[tex]x * 1 = 82\ Yen * 100[/tex]

[tex]x = 8,200\ Yen[/tex]

Hence:

[tex]\$100 = 8200\ Yen[/tex]

Solving (b): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 10

[tex]10 *\$100 = 8200\ Yen * 10[/tex]

[tex]\$1000 = 82000\ Yen[/tex]

Solving (c): Equivalent of $1000

In (a)

[tex]\$100 = 8200\ Yen[/tex]

Multiply both sides by 100

[tex]100 *\$100 = 8200\ Yen * 100[/tex]

[tex]\$10000 = 820000\ Yen[/tex]

Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they​

Answers

Answer:

35% off

Step-by-step explanation:

= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%

Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%

2.6 is a 35% decrease of 4.

35% off

Explanation: 30%= 0.30
4 times 0.30= 1.4
4-1.4= 2.6

you deposit $2000 in a savings account earning 5% simple interest. How long will it take for the balance of the account to be $3800? (PLEASE EXPLAIN)

Answers

Answer:

1.8 years

Step-by-step explanation:

Step one:

given data

P=  $2000

Rate= 5%

Final amount A= $3800

Step two

A= P(1+rt)

substitute

3800=2000(1+0.05*t)

solve for t

3800=2000(1.05t)

3800=2100t

divide both sides by 2100

t= 3800/2100

t=1.8 years

it will take 1.8 years

Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to have a win:the ration is 2:1 ? Explain your answer

Answers

Answer: 2 more games

Step-by-step explanation:

From the question, we are informed that a baseball team has won 6 game and lost 4 game.

We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.

Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.

Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.

Whats the product of 1/4 x 1/3

Answers

1/12. it would be 1/12 because 1 x 1 is 1 and 4 x 3 is 12

What is the measure of an exterior angle of a regular 13-gon?

Answers

Step-by-step explanation:

Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.

Hence we have 360°/13 = 27.7° (1d.p.)

The measure of an exterior angle of a regular 13-gon is 27.69°.

What is a regular 13-gon?

A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.

The given polygon is a regular 13-gon.

Therefore, all the exterior angles of this polygon are equal.

We know, each exterior angle of a regular polygon with 'n' sides is

= (360 / n)°

Here, n = 13.

Therefore, the value of each exterior angle

= (360 / 13)°

= 27.69°

Learn more about a polygon here:

https://brainly.com/question/13879119

#SPJ2

is the relationship between the side length of a square and the area of a square proportional?

Answers

Answer:

Students make in-out tables to assist them in noticing patterns and generalizing the mathematical relationships. Expect students to discover that area increases proportionally to the square of how much the side length increases.)

Mr. Garza has a picture that measures 4 by 12 inches. It must be reduced so that the longest side measures 4 inches to fit in the school newspaper. Find the length of the shorter side of the picture once it has been reduced.

A. 2 inches
B. 1 1/2
C. 1 1/3
D. 1 inch

Answers

Answer: The length of the shorter side is [tex]1\frac{1}{3}[/tex] inches (option C).

Step-by-step explanation:

The ratio of the original picture is [tex]\frac{4}{12}[/tex].The ratio of the new picture is [tex]\frac{x}{4}[/tex].In order to get the longest side to 4, we divided by 3. As a result, we must divide 4 (the original shorter side) by 3 to find the new length.[tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]
The answer is C.) 1 1/3
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