The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Answers

Answer 1

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.


Related Questions

Determine whether each relation is a function or not. If possible, write each function using the function notation.
a. 2y+4x=xy-8
b. x^2 + y^2 =5

Answers

Answer:

the answer is A.................

Find the value of x in the shape below.

Answers

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Can somebody help me on this please

Answers

It’s D because since c is to the power of -4 you would move it to the numerator so that it can be to the power of a positive number :)


Write down the integer values of x that satisfy the inequality -2 < x _<4

Answers

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

Find the value of x.

Answers

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

What is 4-3i minus 6+3i?

Answers

Answer:

-2

Step-by-step explanation:

Use elimination to solve the system of equations.
2x + 5y = 7
3x + 6y = 3

Answers

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

help me pleaseee will give brainliest

Answers

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Connor and Nolan collected 183 plastic bottles from the park. Nolan collected twice as many plastic bottles as Connor. Enter the number of plastic bottles that Nolan collected.

Answers

183x2 (twice means two so you multiply Connor’s amount twice to find the answer) so 183x2 equals 366!!!

What would be the answer of QS?

Answers

Answer:

c I guess tell me if I am wrong yall

Which numbers are rational? Check all that apply. –19 Negative two-fifths 0 StartFraction 4 Over 7 EndFraction 1.091502… 2.89

Answers

Answer:

everything but 1.091502…

Step-by-step explanation:

Brainliest please

Answer:

A,B,C,D,F

Step-by-step explanation:

May someone please help me? This is due today and I'm confused.​

Answers

Answer:

2(x - 8) = 2x - 16

2(-8) + x + x = -16 + 2x or 2x - 16

2(3x + 2) = 6x + 4

6x - 2(2x + 8) = 2x + 8

-2(-3x - 2) = 6x + 4

-2(-x + 8) = 2x + 16

-14 + 3 + 2(9) + 3x = 7 + 3x

2x + 2(2x + 2) = 6x + 2

Step-by-step explanation:

I hope this helps!

Answer:

#1 = 2x-16

#2=2(-8+x)

#3 i don't know

#4= 2(x-8)

#5=6x+4

#6=2x-16

#7=7+3x

#8=2(3x+2)

please lemme know if its correct

I'm not sure how to find x​

Answers

To answer this, add all of those angles. A triangle’s angles equal to 180. Then, combine like terms and solve.
5x - 40 + 3x + 2x + 20 = 180
10x - 20 = 180
10x -20 + 20 = 180 + 20
10x = 200
10x / 10 = 200 / 10
x = 20

hope that helps!! if you need any more help please comment and link ur question :)

help bro

Identify the Terms:
3x + 5x + 12 – 3 + 2x

Answers

Answer:

dfadfadsadas

Step-by-step explanation:

!!!!!!!!!!!!!!!! x= and y=

Answers

Answer:

Y=16

X=32

Step-by-step explanation:

ï just know you need to do more meth

HELP ASAP BRAINLIEST IF UR RIGHT

If the measure of an exterior angle of a regular polygon is 24°, how many sides does the polygon have?
a. 15
b. 18
c. 14
d. 12
e. none of the above

Answers

answer A. 15 glad to help

Help pls!! Find the value of x and m

Answers

Answer:

The answer's the third one listed.

Step-by-step explanation:

The equation to solve for x is:

6x + 16 + 10x - 6 + 90 = 180

16x + 100 = 180

16x = 80

x = 5

To solve for angle BCD, just substitute 5 for x

m = 10(5) - 6

m = 50 - 6

m = 44

The answer is X = 5, you can use Symbolab to solve these kinds of problems.

10y + x = -100
can someone help me get Y by it self

Answers

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

Can someone help me with this equation
1a+ 6b + 4c +7a =

Answers

Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

Solve the system of linear equations by elimination.
-3.x – 5y = -7
-4x + 5y = 14

Answers

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

Answer:

( -1, 2)

Step-by-step explanation:

Since this is asking for elimination, you will need to line up x or y to be the opposite amount:

-3x -5y = -7

-4x + 5y = 14

(notice -5y and 5y are already opposite, therefore no further actions are needed to line them up.)

Next step is to add both equations up to eliminate y and to find x:

-7x = 7

x = -1

After finding x, plug the x back into either one of the equations to solve for y. If you are unsure, you can plug it into the other equations to double check.

If you chose to do equation 1:

-3(-1) -5y = -7

3 -5y = -7

-5y = -10

y = 2

If you chose to do equation 2:

-4(-1) + 5y = 14

4 + 5y = 14

5y = 10

y = 2

After finding x and y, you will find the point ( -1, 2)

1. What is the slope of a line that is perpendicular to the x-axis ​

Answers

Answer:

The slope of a line that is perpendicular to the x-axis ​is undefined.

Step-by-step explanation:

We know that the x-axis is a horizontal line.

We also know a line that is perpendicular to the x-axis ​is basically a vertical line.As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.

Therefore, the slope of a line that is perpendicular to the x-axis ​is undefined.

For example, the slope between (1, 2) and (1, 4) is:

Using the slope formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 = [4 - 2] / [1 - 1]

                  = 2 / 0

                  = ∞

Solve: 6x2 - x - 2 = 0

Answers

Answer:

Step-by-step explanation:

Step 1: Factor left side of the  equation.

(3x−2)(2x+1)=0

Step 2: Set factors equal to 0.

3x−2=0 or 2x+1=0

[tex]x=\frac{2}{3} or x=\frac{-1}{2}[/tex]

please help me !!!!

Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Pls help me..... It due ASAP

Answers

the answer is D.
3 and 6

Answer:

D

Step-by-step explanation:

D is the right answer for the question

100 points! Will mark brainliest! Only answer if u know it. Random answers will be reported

Answers

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

~ Put all values.

[tex]d = \sqrt{ {(5 - 7)}^{2} + ( {0 - 7)}^{2} } [/tex]

~ Simplify it.

[tex]d = \sqrt{ {( - 2)}^{2} + {( - 7)}^{2} } [/tex]

[tex]d = \sqrt{4 + 49} [/tex]

[tex]d = \sqrt{53} [/tex]

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

Hope it helps....

you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

~ Put all values.

~ Simplify it.

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units

\cos (x-10\deg )=(\sqrt(3))/(2)

Answers

Answer:

40°

Step-by-step explanation:

[tex]\cos (x-10\degree )= \frac{ \sqrt{3} }{2} \\ \\ \cos (x-10\degree )=\cos 30\degree \\ \\ x-10\degree = 30\degree \\ \\ x = 30\degree + 10\degree \\ \\ x = 40\degree[/tex]

Help please I need help on this problem,appreciate it :)

Rewrite (squareroot n^5 p^8)
as an exponential expression

Answers

Answer:

the answer is the option : D

Find each function value f(-4) if f(x) = -5x - 3

Answers

Answer: f(-4) = 17

Step-by-step explanation: Substitute (-4) for x.

f(-4) = -5(-4) - 3f(-4) = 20 - 3f(-4) = 17
the answer should be -3

Ellen planned to interview some applicants for a position in her office. If she scheduled ½ of an hour to meet each of them, how much time did she schedule for all 6 applicants?

Answers

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.

The amount of time that she will schedule for all 6 applicants will be:

= 1/2 hour × 6

= 3 hours

Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?

Answers

Answer:  

The Original Number is 36 :)

explanation:

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