Students from the local high school are selling tickets to the town's annual carnival. Adult
admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first
day, 440 tickets had been sold totaling $1900. How many adults and how many children
entered the carnival during the first two hours it was open?

Answers

Answer 1

Answer:

320 adults and 120 children

Step-by-step explanation:

First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.

5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold

a + c = 440

Now solve for either a or c in the second equation. I chose to solve for a. a=440-c

Use that to substitue into the other equation.

5 (440-c) +2.5c = 1900

2200-5c +2.5c = 1900

-5c+2.5c = -300

-2.5c=-300

c=120

Now plug 120 into the equation a+c=440 and solve for a


Related Questions

Type the equation of the linear function that passes through the two given points:
(2;9) (4,17)





(3; -17) (-3;13 )

plz help

Answers

Answer:

Slope-intercept form of the line:

y = mx + b

Point-slope form of the line:

y - y1 = m(x - x1)

------------------------------------

Points:

(2;9) (4,17)

The slope:

m = (17 - 9)/(4 - 2) = 4

The line:

y - 9 = 4(x - 2)y = 4x - 8 + 9y = 4x + 1

----------------------------------

Points:

(3; -17) (-3;13 )

The slope:

m = (13 - (-17)) / (-3 - 3) = 4/ -6 = -2/3

The line:

y - (-17) = -2/3(x - 3)y = -2/3x + 2 - 17y = -2/3x - 15

Giving brainlist to whoever answers

Answers

Answer:

6 2/7

Step-by-step explanation:

 

g is a trigonometric function of the form g(x)=a sin (bx+c)+d.
The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)
Find a formula for g (x). Give an exact expression.

Answers

Answer:

Formula for g(x) is [tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

Step-by-step explanation:

Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d.  The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)

To find - Find a formula for g (x). Give an exact expression.

Proof -

Given that,

g(x)=a sin (bx+c)+d

We know that, Midline is present in between maximum and minimum

Here given that, minimum is present is 3 and midline is present at 6

So, Maximum occurs at 9.

Now,

We know that,

Standard form of sine function is - g(x) = Asin(B(x-C)) + D

Where

A = Amplitude

and Amplitude = (Maximum - minimum) / 2

                         = (9 - 3)/ 2

                         = 6/2 = 3

⇒A = 3

Now,

Period = [tex]\frac{2\pi }{B}[/tex]

⇒B = (2π) / Period

      = (2π) / 10

      = π/5

⇒B = π/5

Now,

Phase Shift : C = -1 ( i.e. 1 to the left)

Vertical Shift : D = 6

So,

We get

g(x) = Asin(B(x-C)) + D

      = [tex]3 sin(\frac{\pi }{5}(x -(- 1))) + 6[/tex]

⇒[tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

∴ we get

Formula for g(x) is [tex]g(x) = 3 sin(\frac{\pi }{5}x + \frac{\pi }{5} ) + 6[/tex]

-0.09 x __=9? Can any one help?

Answers

Answer:

-0.09 x −100 =9

Step-by-step explanation:

brainliest pls

I need help No links or ill report you 8!√5+6²

Answers

41 or 6.4 hope this helps

Answer: uhh idrk bc im taking ur points ok bye <3

Step-by-step explanation:

BAHAHAHAH SORRY IDEK IF U RLLY NEED HELP OR NOT BUT YEAH IM TERRIBLE AT MATH

Which angle is an acute angle?

A. APE

B. CPB

C. APC

D. CPE

Answers

Answer:

B. CPB

Step-by-step explanation:

An acute angle is less than 90°. APE is a right angle. APC and CPE are obtuse angles.

Hope this helps!!

Answer:

B

A is a 90° angle

C and D are obtuse

9.5) ifm Z WZY - 100º and mZ WXY = 50°, calculate m ZWX. Justify your work with properties or definitions. Note: figure may not be drawn to scale. I​

Answers

Answer:

m∠ZWX = 105°

Step-by-step explanation:

Properties of a kite,

1). One diagonal of a kite bisects at least one pair of opposite angles.

2). Diagonals of a kite kite are perpendicular to each other.

In ΔWTZ,

m∠WZT = [tex]\frac{1}{2}(m\angle WZY)[/tex]

              = [tex]\frac{1}{2}(100)[/tex]

              = 50°

m∠WTZ = 90° [By second property]

m∠WZT + m∠WTZ + m∠ZWT = 180°

50° + 90° + m∠ZWT = 180°

m∠ZWT = 180° - 140°

              = 40°

Similarly, in ΔWTX,

[tex]m(\angle WXT)=\frac{1}{2}(m\angle WXY)[/tex]

m(∠WXT) = [tex]\frac{1}{2}(50)[/tex]

                = 25°

m(∠WTX) = 90°

m∠WTX + m∠WXT + m∠TWX = 180°

90° + 25° + m∠TWX = 180°

m∠TWX = 180° - 115°

              = 65°

Since, m∠ZWX = m∠ZWT + m∠TWX

Therefore, m∠ZWX = 40° + 65°

                                 = 105°



Gordon, June and Sushil share some sweets in the ratio 4:5:1. Gordon gets 36 more
sweets than Sushil. How many sweets does June get ?

Answers

Step-by-step explanation:

Shusil got 8.4 sweets.

Step-by-step explanation:

Gordon share=3/3+5+2×42

3/10×42=12.6

June share=5/3+5+2×42

5/10×42=21

Shusil share=2/3+5+2×42

2/10×42=8.4

A game you want is on sale for 15%off. If the regular price is $50.00, how much will you save? And what will the total sale price be?

Answers

Answer:

you will save 7.50 dollars.

Step-by-step explanation:

the sale price will be 42.50 dollars plus tax, if you need to include the tax.

What is the coefficient of the fifth term in a binomial that is raised to the sixth power?

15
5
20
6

Answers

the answer is 15 :))

Answer:

It is 15. Therefore, the coefficient's of the fifth term of binomial expression raised to the power six is 15

Find the missing dimension of the triangle.
Area = 14 ft2
height= 6 ft
base=???

Answers

Answer:

b=4.67ft

Step-by-step explanation:                                                                                    The steps are in the picture below.

Using the Rhombus below, solve for each of the missing angle measures.

Answers

Answer:

angle 1 is 90

angles 2 and 3 are 65

angle 4 is 25

5) A real estate agent sells condominiums for $90,000 each. She earns 4% 6 points
commission. In May, she sold 9 condominiums. How much commission
does she make on each condominium?*
$86,400
$93,600
$32,400
$3,600

Answers

90,000*4%*9=32,400$☺️

Help, please! I can't figure this out.

Answers

Answer:

11/17

Step-by-step explanation:

Since Donald removed a yellow marble, it is no longer there: There are now 6 yellow marbles and 11 purple ones.  The total number of marbles in the bag is 6+11.

Total marbles: 17

Number of purple marbles: 11

Probability of drawing a purple marble: 11/17

find the area of a circle with a radius of 4.25 meters. round your answer to the nearest hundredth

Answers

Answer:

56.74502 units^2

Step-by-step explanation:

area = pi*radius^2

area = (3.14159265359)(4.25)^2

area = 56.74502 units^2

What is the solution to the following system of equations
5x + 4y = 40 6x + 4y =44

Answers

Answer:

X=4, y=5

Step-by-step explanation:

5x + 4y =40 equation 1

6x + 4y =44 equation 2

-1(5x + 4y)=-1(40) multiply equation 1 by -1 so equation will eliminate y

-5x - 4y=-40 modif equation 1

6x + 4y= 44  equation 2

         x=4.     Add above 2 equations

solve for y:

5x + 4y =40

5(4)+4y=40

20+4y =40

4y=20

y=5

check solution ;

6x+4y=44

6(4) + 4(5)=44

24 + 20=44

44=44

Pleasee heelpp mee!!!! thank you:)

Answers

i might not be right but i think it’s 104

Answer:

hope this helps................................u

Step-by-step explanation:

208

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

HELP 26 POINTS please in a hurry
Is the relation shown below a function? Use the graph below to justify your response.

Answers

you didn't attach the function though

Answer:

there is no function I think u forgot to attach it

Please help!!!! I need help with this question

Answers

Answer:

11

Step-by-step explanation:

hope this helps with the work

The total surface of the cube measures 54ft. How long is its edge?

Answers

Answer:

It should be 9ft

Step-by-step explanation:

I hope this helps

Solve n - 24 = 28. Be sure to show all work.

Answers

Answer:

n= 52

Step-by-step explanation:

n= 28+24

n= 52

Hello

Answer:

n=52

Step-by-step explanation:

n-24=28

n=24+28

n=52

You solve n by adding 24 to both sides to get n by itself which is n= 24+28. After you add 24 and 28 together you get 52. So n=52.


PLEASE HELP I WILL MARK BRAINLIEST!!












Twice a number, decreased by 4, is at least 12. Which of the following is a solution?
08
O 5
07
O 6

Answers

2 times x -4=12
2x-4=12
Let x= 8
(2.8)-4=12
16-4= 12

So the answer is 8

Can someone please help. I tried to solve it and I keep getting stuck or can someone at least help me start off solving it?
An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement
Michael has a budget of $800 to purchase 13 advertisements.

(a) Define a variable for each unknown
Write a system of equations to represent the situation and solve the system

(b) How many half-page advertisements does Michael purchase?
Show your work.

(c) How many full-page advertisements does Michael purchase?

Answers

Answer:

F=full page  H=half page

40H+75F=800

H+F=13  so H= 13-F  substitute 13-F for H in the first equation.

40(13-F)+75F=800

520-40F +75F=800

35F= 280  so F=280/35=8

8 fullpage and  5 halfpage ads

Step-by-step explanation:

A cube has a length of 8 in. What is the width and the height of the cube?​

Answers

Answer:

8 in

Step-by-step explanation:

In a cube, the length, width, and height are all the same.

Answer:

8in each

Step-by-step explanation:

A cube has equal sides. Length = 8 in, Width = 8 in and Hight =8 in

If y varies directly as x and y = 64 when x = 16, what is the value of y when x = 12 ?

Answers

Answer:  Y=48

Y is 4 times more than x. If x=12, y=48. Notice in the first part of the question, if you divide 64 by 4, you get 16. This means in order to get your answer, you must mulitiply x by 4 to get y. 12x4=48.

Brainliest please?

                                         XxRoadToAcexX

               

Rafael wants to buy a Go-Cart for $2,500. He can get a loan from the bank at 5% interest for three years. By the end of the loan, how much money will Rafael end up paying the bank?
A. 2,875
B. 375
C. 2,125
D. 125

Answers

C step by step answer
The answer is D. 125

What is the area of the sector?

Answers

Answer:

d

Step-by-step explanation:

100pi

I need help on this and if you the first person to answer this correctly then I would mark you BRANILIST​​

Answers

Answer:

C or D

Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZ

Need help fast djs and she usdhsbsurbdidbidbdidbdidbdixbd

Answers

Answer:

∠BCD=95°

Step-by-step explanation:

∠B+∠D=127+43=170

360-170=190

∠A=∠C

∠A+∠C=190

∠C+∠C=190

∠C=190/2=95°

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