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

Write the powerset of the following sets
a) {3,7,9}
b) {a,{ 1,2}}
c) {p,q,r,s}

Answers

a. cardinality means no of elements present in the set.
b. no of proper set = 2^n - 1
c. no of subset = n
2^n = 512
2^n = 2^9
n = 9.
Q. power set:
a. { 3,7,9} = {3,7,9,(3 7),(7 9),(9 3)}

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure

Answers

Answer:

1:2

Step-by-step explanation:

which scatterplot represents the data given in the table which is the weight of a boy as he gets older

Answers

Answer: A.

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

If y= x³-1 find the value of y if x= -2​

Answers

Answer:

Y=19 Hope this helps!!!!

Step-by-step explanation:

Which is the perimeter of the shape? (1 point)

Answers

Answer:

16 ft

Step-by-step explanation:

To find the perimeter of a square you must:

1. add all of the lengths together (4+4+4+4=16)

Have a great day.

16 because you just add 4<*<£|~£,*,%~>|>{~^?^?^?^?^\¥.

_5) How does the “x + 1" affect the graph in the equation: y = } • (4)*+1 – 37
A) Left 1
B) Right 1
C) Up 1
D) Down 1

Answers

Answer:

immma send you the link friend me on here Step-by-step explanation:

links will get banned​

Answers

Answer:

22 cm long

eeeeeeeeeeeeeeeeeeeeeeeeeeee

Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X = - 1/6y^2 C. X = 1/36y^2 D. X = 1/6y^2

Answers

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) =  a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.  

If A and B are mutually exclusive, and if P(A) = 23% and P(B) = 16%, what is P(A or B)?
P(A or B)=[%

Answers

Answer:

P(A or B) = 39%

Step-by-step explanation:

If A and B are mutually exclusive, they cannot occur at the same time, therefore their probabilities are added. This means P(A or B) = P(A) + P(B) = 23% + 16% = 39%

Hi guys I need your help here I'll give 100 points and also brainiest no link's please I need this by today thank you : )​

Answers

Answer:

#2

CD  ║ EF and ED is transversal, hence

∠CDE ≅ ∠FED ⇒ m∠CDE = m∠FED ⇒ m∠CDE = 28° as alternate interior anglesm∠CDB = 160° - 28° = 132°

We can see that:

m∠CDB + m∠ABD = 132° + 48° = 180°

Since the angles CDB and ADB sum to 180, these are consecutive interior angles, therefore AB and CD are parallel lines.

#3

PU and QT are parallel and PT is transversal, therefore:

∠UPT ≅ ∠QTP as alternate interior anglesm∠UPT = m∠QTP = 42° or x = 42°

Now find the missing angles of ΔQTP

x + 40° = 42° + 40° = 82°y = 180° - (42° + 82°) = 56°

Now, we see that:

m∠TPQ = 82°m∠SQR = 82°

As  ∠TPQ ≅ ∠SQR  these angles are corresponding angles.

Therefore PT and SQ are parallel lines.

f(x)=x^2. what is g(x)?

Answers

Answer is D
g(x)=1/3x^2

14
4(x + 6)
+
2(3x – 5) =
A) 4x + 14
B) 10x + 34
C) 10x + 14
D) 10x – 24
E) NOTA

Answers

Answer:

D) 10x - 24

Step-by-step explanation:

Bc I know maths a lot

Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.

Answers

Answer:

Here you go

Step-by-step explanation:

Hope this helps :)

can someone please help me?? as soon as possible! would really appreciate it

x = ___ units

Answers

Answer:

[tex] RT = \frac{ \sin(60 \degree) }{ \sqrt{3} } \\ RT = 0.5 \\ x = RT \tan(45 \degree) \\ x = 0.5 \times \tan(45 \degree) \\ x = 0.5 \: units[/tex]

Answer:

the first angle is 180 - (90 + 60) = 30

second angle is 180 - (45 + 90) = 45

30 + 45 = 75

3\/- 75 = 4.217163327 units

Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up
against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)

Answers

Answer:

Step-by-step explanation:

P = 2b + a = 100

A = b * a

a = 100 - 2b

A = b(100 - 2b) = 100b - 2b^2

dA/db = 100 - 4b

100 - 4b = 0

b = 25

a = 50

May i get some help please

Answers

Answer:

[tex]\huge\boxed{\sf 995.4 in.\²}[/tex]

Step-by-step explanation:

Area of the circle:

= πr²

Where r = 21 in.

= (3.14)(21)²

= (3.14)(441)

= 1385.4 in.²

Area of triangle:

= [tex]\sf \frac{1}{2} (Base)(Height)[/tex]

Where Base = 20 in. , Height = 39 in.

= [tex]\sf \frac{1}{2} (20)(39)[/tex]

= (10)(39)

= 390 in.²

Area of the shaded region:

= Area of the circle - Area of the triangle

= 1385.4 - 390

= 995.4 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

The product of (7x+2) and 20-3x/4

Please help me on this problem

Answers

Answer:

1. (7x+2)

2. 2 - 3x/4

Which equation is equal to 4a + 2b = 10?

options:
b = -2a + 10
b = 2a + 10
b = -2a + 5
b = 2a + 5

Answers

b = -2a + 5
good luck :)))

Its about number lines, thanks
no links
SORRY IF THE LIGHTING IS BAD

Answers

Answer:

-4, 0, 3, 5

Step-by-step explanation:

The number line is being counted by ones. So when it's complete, it would be like this:

-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6

Hope this helps!!

Answer: -4, 0, 3, 5.

Step-by-step explanation:

Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not eligible to win a second time. If there are 40 total people in the class, including you and your best friend.
What is the probability that both you and your best friend get the 100 classroom credits?
PLEASE SHOW WORK!!​

Answers

Answer:

1/1560

Step-by-step explanation:

The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.

A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units

Answers

Answer:

6×36=216.I hope the answer is correct. I will be happy when I get 5 points

Answer:

Step-by-step explanation:

Which statement is true?

Answers

Answer:

B is the correct answer

Step-by-step explanation:

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

answer is C the means and the standard deviation because the data sets are normally disturbed

Answer: d

Step-by-step explanation:

Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)

Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!

Answers

Answer:

Perimeter is 3 + 3 +3 +4 +5 = 18 feet

Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters

perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 5

charlies goal is to sell an average of 18 cars each month this year. this table shows how many cars he sold each month from january to november. how many cars does charlie need to sell in december in order to meet his goal of a mean of 18 cars per month?

A. 17
B. 19
C. 26
D. 28

Answers

Answer: C-26

Step-by-step explanation: First you need to figure out how many total cars he needs to sell through the year by multiplying 12 by 18. This should get you 216. Now, we need to add all of his actual stats that we have so far to get a total of 190 cars sold. We know he needs 216 total by the end of the year, so we just have to subtract 190 from 216 to get our answer, 26.

Find the distance between the points (-4,9) and (5, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Submit

Answers

Answer:

15 units

Step-by-step explanation:

The formula of a distance between two points:

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}[/tex]

We have:

[tex]A(-4;\ 9);\ B(5;\ -3)\\\\|AB|=\sqrt{(5-(-4))^2+(-3-9)^2}=\sqrt{9^2+(-12)^2}=\sqrt{81+144}\\\\=\sqrt{225}=15[/tex]

Name two pairs of adjacent angles and two pairs of vertical angles in
the figure.

Answers

Answer:

choice 2

Step-by-step explanation:

57 divided by 592,346

Answers

Answer:

9.62 x 10⁻⁵

Step-by-step explanation:

57 / 592346 = 0.0000962275

Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵

9.62 x 10⁻⁵ or 57 / 592346 = 0.0000962275

How to: Divide the first expression by the second expression.

Have a great day and stay safe ! srry if im wrong

im running out of things to say

Answers

Answer:

i think its b

Step-by-step explanation:

Question 4: *
What are the solutions to the equation 4x2 – 52x + 169 = 121?

Answers

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

Other Questions
Help im taking a test!!What new element is formed from the equation below? (Answer form isMN:, AN: , S) Find the area of the composite figure.A. 27.5 sq inB. 37.5 sq in C. 45 sq in D. 55 sq in Forrests Gump father went on vacation. What do you think happened to him?If anyone watched the movie please respond A substance has a boiling point of 78 C. Which of the following is true about the substance? (5 points) a It will also change from a gas to a solid at 78 C while the gas loses energy. b It will also change from a gas to a solid at 78 C while the gas gains energy. c It will also change from a gas to a liquid at 78 C while the gas loses energy. d It will also change from a gas to a liquid at 78 C while the gas gains energy. Pablo, no _____ por el parque, por favor. Es muy tarde.A. caminoB. caminasC. caminesD. caminamos Find the volume of a cylnder whose base is a circle with a diameter of 18 inches. what does covi d 19 stand for? and how did it get into this world Part AIn the passage from Boy's Life, how does the narrator's attitude towardMrs. Neville gradually change?A. from confused to angryB. from worried to comfortedC. from pitying to discouragedD.impatient to understanding PLEASE HELP ME ASAP I'M BEING TIMED, PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!What does this interaction reveal about Brutuss character? Select two options.He uses music to help him relax.He is cruel and selfish.He cares about those who serve him.He takes advantage of his servants.He puts his own needs before the needs of Rome. anyone in the bay area? Which options are available when exporting a table definition and data? Check all that apply Carmel Corporation is considering the purchase of a machine costing $52,000 with a 4-year useful life and no salvage value. Carmel uses straight-line depreciation and assumes that the annual cash inflow from the machine will be received uniformly throughout each year. In calculating the accounting rate of return, what is Carmel's average inv I tried buh then ii forgot how to find the answer HELLPPPPPPP FASTTTTBDJEJDJDJSJJWJWJW I am a right triangle. the length of my base is 3 cm the height of my triangle is 5 cm what is the value of the missing side? I NEED HELP ASAP The volume of a cylinder is 14,130 ft 3 . If the diameter is 30 feet, calculate the height of the cylinder Which choice correctly describes this event? Every time I flip a coin / will get tails.A)CertainB)ImpossibleC)LikelyD)UnlikelyPlease help ASAP ill give BRAINLIEST Which pair of numbered statements best completes the chart related tofeatures ofthe chambers of Congress?theHouse of RepresentativesSenateProposes all tax billsApproves presidential appointments(1)(2)O A. (1) Led by the vice president; (2) Led by a speaker B. (1) Ratifies treaties with foreign countries; (2) Can impeach publicofficials C. (1) All states have equal representation; (2) Representation basedon state populations D. (1) Affected by gerrymanderidb: (2) Not affected bygerrymandering Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? * Which phrase best describes a portfolio, regardless of the the context in which the word is used?a text that represents qualitya collection of good examplesan explanation of a projecta reason to hire someone