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


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

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°

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.

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

Giving brainlist to whoever answers

Answers

Answer:

6 2/7

Step-by-step explanation:

 

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

-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

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

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

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]

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

Answers

Answer:

11

Step-by-step explanation:

hope this helps with the work

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

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

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

               

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$☺️

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°

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

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.

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

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

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

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

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.

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

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

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



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

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:

What is the area of the sector?

Answers

Answer:

d

Step-by-step explanation:

100pi

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