Carlos' school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 6 adult tickets and 12 student tickets for a total of $204. The school took in $79 on the
second day by selling 5 adult tickets and 3 student tickets. What is the price each of one adult
ticket and one student ticket?

Answers

Answer 1

Answer:

Adult ticket = $8

Student ticket = $13

Step-by-step explanation:

Hi, to answer this we have to write a system of equations (sales equations)

6x + 12y =204 (first day)

5x +3y =79 (second day)

Where x is the price of each adult ticket and y is the price of each student ticket.

If we multiply the second equation by 4 , and subtract the first equation to the second equation:

20x +12y =316

-

6x + 12y =204

___________

14x = 112

Solving for x:

x =112/14  

x = 8  

Substituting x=8 on any equation:

5x +3y =79

5(8)+3y =79

40+3y =79

3y =79-40

3y = 39

y =39/3

y = 13


Related Questions

Lance is tracking the progress of his plant's growth. Today the plant is
5 cm high. The plant grows 1.5 cm per day. Which equation below
represents the height of the plant (h) after d days?

Answers

Answer:

h = 5 + 1.5d

Step-by-step explanation:

Which of the following is a characteristic of hyperbolic geometry?

A. There are an infinite number of lines parallel to a given line
through a given point.

B. There is exactly one line perpendicular to a given line through a
given point.

C. There is exactly one line parallel to a given line through a given
point.

D. There are an infinite number of lines perpendicular to a given line
through a given point.

Answers

Answer:

A

Step-by-step explanation:

Hyperbolic geometry is defined as a non-Euclidean geometry.

(invalidating the fifth postulate of Euclid's five fundamental postulates)

Choice B and D can be eliminated because this has nothing to do with perpendicular lines.

Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates

We are left with A by the process of elimination

Answer:

A. There are an infinite number of lines parallel to a given line through a given point.

Hope this Helps!

A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without

replacement? Calculate to the nearest tenth.

O 15.2 %

O 13.9%

14%

O 17.1%

Answers

Answer:

15.2%

Step-by-step explanation:

The total number of marbles in the jar is:

5 + 4 + 3 = 12 marbles

The jar contains 5 red, 4 blue, and 3 yellow marbles.

The probability of pulling a red marble is 5/12

There are now 11 marbles in the jar.

The probability of pulling a blue marble is 4/11

Therefore, the probability of pulling a red marble, then, pulling a blue marble, without  replacement is:

5/12 * 4/11 = 5/33

Converting to percentage:

5/33 * 100 = 15.2%

A truck can be rented from Company A for $120 a day plus $0.70 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

200 miles

Explaination:

in order to fiind the point of interaction you must put the world problem into an liner equation.

y=mx+b

key:

miles : x

y= 0.70x + 120

&

y= 0.90x + 80

now you put them together

0.70x + 120 = 0.90x + 80

-0.70x. -0.70x

____________________ subtract slope from both sides

120 = 0.20x + 80. ( doesn't matter which one)

-80 - 80

____________________ subtract

40 = 0.20x

_________ Divide each # with the slope

0.20 0.20

200 = x

hope this helps!

Please help me quick!!!!!!!!!!!!!!!!!

Answers

Answer:

a. Yes, the evidence supports the hypothesis

Step-by-step explanation:

The evidence supports the hypothesis because it say that "the GREATER the HEIGHT from which you drop a ball ,the FASTER the ball will be traveling when it hits the ground because of gravity and you claimed that the ball dropped from a height of 6 feet has a higher speed than a ball dropped from a height of 3 feet. hope this help! :D

Pls help me it’s emergency plzz fast

Answers

Answer:

67.3%

Step-by-step explanation:

Calculate profit = selling price - cost price

cost price = 50 × $28 = $1400

38 × $49 = $1862

12 × $40 = $480

selling price = $1862 + $480 = $2342

Profit = $2342 - $1400 = $942

% profit = [tex]\frac{profit}{cost}[/tex] × 100%

             = [tex]\frac{942}{1400}[/tex] × 100% ≈ 67.3% ( to 1 dec. place )

Andy's savings account pays 0.3% more interest than Marty's. What is 0.3% written as a decimal number?
A. 0.003
B. 0.3
C. 0.0003
D. 0.03

Answers

Answer:

A. 0.003

Step-by-step explanation:

When using decimals to represent a percentage it goes as follows:

100% = 1

75% = 0.75

50% = 0.5

25% = 0.25

1% = 0.01

And in the case of this problem: 0.3% = 0.003

A. 0.003

To go from a percentage to a decimal, you would remove the percent sign and move the decimal two places to the left.

Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth . Help please because it says 209.22 is not the answer

Answers

Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
= 501.8689189905 centimeters2
Total Surface Area = 826.1617056129 centimeters2

Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is x, the length of D C is 4 x, and the length of B D is 10. What is the value of x? 2 units 3 units 5 units 8 units

Answers

Answer:

5 units

Step-by-step explanation:

see the picture

Answer:

The answer is 5 units

Step-by-step explanation:

Need Help ASAp will give brainliest!!!

Answers

Answer:

0.05

Step-by-step explanation:

3.25 divided by 9 is 0.35 and 2.4 divided by 8 is 0.3 (0.30)

theres a 0.05 gap

if im wrong im sorry

Alaine has 1 gallon of paint. She is going to pour it into
paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in?, 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in
The paint will fill the tray exactly
The paint will overfill the tray by 5.22 in?

Answers

Answer:

First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B. 

Step-by-step explanation:

A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *

A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.

Answers

Answer:

Correct option is:

B. There were 2,996 girls surveyed, and about 45% of them play video games.

Step-by-step explanation:

Let us calculate the percentage step by step as per the options.

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total boys = 2996

7. Total number of candidates = Total boys + Total girls = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

The percentage is near about 45%, so option B is correct.

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Hence, correct answer is option B.

Answer:

Its b

Step-by-step explanation:

B , it just makes sense

A chemist is adding pure (100%) acid to a 12 liter solution that is 15% acid in order to increase it to 49% acid. How much pure acid must she add?

How many ounces of 35% ethanol must be added to a 23 ounce mixture that contains 26% ethanol in order to obtain a mixture of 30.86% ethanol?

How many liters of 30% acid must be added to 10 liters of 53.66% acid in order to obtain a mixture that is 43% acid?

Answers

Answer:

1) 8 liters of pure acid

2) 27 liters of 35% ethanol

3) 8.2 liters of 30% acid

Step-by-step explanation:

The inicial amount of acid is 15% of 12 L, and the inicial volume is 12L.

Adding 'x' L of 100% acid, we have the amount of acid equal to 12 * 0.15 + x * 1, and the volume of 12 + x. The concentration is the amount of acid over the volume, so we have that:

(12*0.15 + x) / (12 + x) = 49/100

(1.8 + x)*100 = (12 + x) * 49

180 + 100x = 588 + 49x

51x = 408

x = 8 liters of pure acid

Similar to the solution above, for the second question we have:

(23*0.26 + 0.35*x) / (23 + x) = 30.86/100

(5.98 + 0.35*x)*100 = (23 + x) * 30.86

598 + 35x = 709.78 + 30.86x

4.14x = 111.78

x = 27 liters of 35% ethanol

For the third question, we have:

(10*0.5366 + 0.3*x) / (10 + x) = 43/100

(5.366 + 0.3x)*100 = (10 + x)*43

536.6 + 30x = 430 + 43x

13x = 106.6

x = 8.2 liters of 30% acid

If you spin a spinner with 3 equal parts, how many possible outcomes are there? A. 1 B. 2 C. 3 D. 4

Answers

the answer is c. 3 possible outcomes
It’s obviously C/3 because there’s only 3 equal parts

I NEAD HELP ASAP The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill. Which calculation results in the best estimate of the total amount they will pay in dollars? Assume there is no tax. (50) (110 percent) = (50) (100 percent + 10 percent) = (50) (100 percent) + (50) (10 percent) = (50) (1.0) + (50) (0.1) = 50 + 5 = 55 (50) (120 percent) = (50) (100 percent + 20 percent) = (50) (100 percent) + (50) (20 percent) = (50) (1.0) + (50) (0.2) = 50 + 10 = 60 (60) (110 percent) = (60) (100 percent + 10 percent) = (60) (100 percent) + (60) (10 percent) = (60) (1.0) + (60) (0.1) = 60 + 6 = 66 (60) (120 percent) = (60) (100 percent + 20 percent) = (60) (100 percent) + (60) (20 percent) = (60) (1.0) + (60) (0.2) = 60 + 12 = 72

Answers

Answer:

Step-by-step explanation:

multiply 52 times 90% +52

Answer:

Option B is the correct answer.

Explanation:

The image below is the correct answer.

Why do some quadratic graphs move left or right and others do not? Is there a correlation between this and them moving up and down? How would you demonstrate your reasoning is correct?

Answers

Answer:

(x + 3)^2 is left 3 because it becames 0 at -3

(x - 3)^2 is right 3  because it becames 0 at 3

x^2 +3 is up 3  because your just adding 3 units up

x^2 - 3 is down 3 because your just subtracting 3 units down

Step-by-step explanation:

do supplementary angles form right angles? yes or no

Answers

Answer:

Yes i

Step-by-step explanation:

A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.

Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?

Answers

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

learn more about inequalities here :

https://brainly.com/question/30228778

#SPJ2

Under the Objective Theory of Contacts, the Reasonable Person Select one: a. May determine the existence of a contract if there is a dispute. b. May determine the terms of a contract if there is a dispute. c. Both of the above. d. Neither of the above.

Answers

Answer:

ayo this was posted the day after my birthday

Step-by-step explanation:

Also why u here during summer?

The answer is C though, its explaing it very well

What is the total amount of material
needed for the entire birdhouse?

Answers

Answer:

This question is incomplete ... plz complete the question so that you may get better help.

Step-by-step explanation:

From: Brainy services

Which ordered pair is a solution of the equation y=2x+5

A. (3,11)
B. (2,7)
C. (1,6)

Answers

Answer:

A(3,11)

Step-by-step explanation:

[tex]y = 2x + 5[/tex]

[tex]2×3 = 6[/tex]

[tex]6 + 5 = 11[/tex]

A is the Answer (3,11)


Which of the following choices best describes the behavior of the light rays when they pass through the lens:
A)The rays will refract and bend away from each other.
B)The rays will refract and bend toward each other.
C)The rays will move through the lens without changing direction.
D)The rays will bounce off the surface of the lens.

Answers

i would  C because it the lights didnt bend

it went through

a pair of shoes is originally priced at 120 It is on sale for 35% off . Find the total percent that you would pay

Answers

Step-by-step explanation:

If the discount is 35% off. then the new price is 65% of what the old price is. So we multiply 120 x .65 = 78

Answer:

You pay 65% which is $78

Step-by-step explanation:

You'd pay 65% of the original price.

65% of the original price is 78

To do this you multiply 65% by 120

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 32, - 16 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 8, - 4 ) → (4(- 8), 4()- 4)) → (- 32, - 16 )

HELPPPPP PLEASE IT'S URGENT!!!!!!

What is the volume of the composite figure? Express the

answer in terms of .


A) 1447 mm

B)1687 mm

C) 3121 mm

D) 4567 mm

Answers

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

he;p me please i am losing my points please anyone can you help at least one of you please please please! :(

Answers

[tex]answers \\ 1. \: \: c \\ 2. \: a \\ 3. \: d \\ 4. \: b \\ explantion \\ 1. \: \: r \: rotated \: 270.the \: r \: lies \: on \: {3}^{rd} \\ quadrant. \\ 2. \: \: r \: reflected \: to \: x. \: the \: r \: mirroring \\ to \: {1}^{st} quadrant. \\ 3. \: r \: moves \: 12 \: units \: upward. \\ 4. \: r \: scaled \: \frac{1}{5} . \: therefore \: the \: sides \: \\ scaled \: \frac{1}{5} also. \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment..[/tex]

NUMBERS THAT ARE GONNA BE ROUNDED TO: 1/2, 1, 0

1. 1/8 + 2/5

2. 13/14 - 1/10

3. 1/12 + 1/20

Answers

Answer:

1. 1/2

2. 1

3. 0

Step-by-step explanation:

1. How many possible outcomes are there for flipping a coin three times

1. 3
2. 14
3. 8

2. What is the theoretical probability of all three flips being heads

1. 1/8
2. 3/8
3. 1/2

3. What is the probability of thete being at least one tail

1. 1/8
2. 1/2
3.7/8

Answers

Answer:

1. 14

2. 1/8

3. 7/8

Step-by-step explanation:

Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE

Answers

Answer:

D) ΔDEF ≅ ΔGFE

Step-by-step explanation:

For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.

As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.

I hope this helps :))

ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of  90°)
   EF = EF        (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence  ΔDEF ≅ ΔGFE are congruent by ASA.

Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ5


Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube

Answers

Answer:

I think it (B) a rectangle prism not to sure tho

Other Questions
Share 32 beads between Joshua and kitty in the ratio 6:10 How much does Joshua gets ? Beads and kitty gets ? Find the value of y. 1. During pre-planning, the Activities Committee establishes the following project goal: "Optimus XT will promote and organize a clothing drive no later than May 31." Is this a SMART goal? Why or why not? (2 points) Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number. Leah is moving in a spaceship at a constant velocity away from a group of stars. Which one of the following statements indicates a method by which she can determine her absolute velocity through space?A) She can measure her increases in mass. B) She can measure the contraction of her ship. C) She can measure the vibration frequency of a quartz crystal. D) She can measure the changes in total energy of her ship. E) She can perform no measurement to determine this quantity. Henry's wage is 450 per week.He spends 2/5 of his wage on food.30% goes on the household bills and the rest is saved.How much does Henry save each week? Complete the table to summarize the properties of the different subatomic particles by typing in 'yes"or "no."A what is 2n+3n +1 +8n+4 Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______ Potential difference is measured in which units?voltsampscurrentswatts Is it good to burn the leaves in the field or let it decay to increase fertility of soil. justify? ?? what is the answer of this question? Which set represents the same relation as the table below? x f(x) 0 5 4 2 6 9 9 10 StartSet (0, 5), (4, 2), (6, 9), (9, 10) EndSet StartSet (5, 0), (2, 4), (9, 6), (10, 9) EndSet StartSet 0, 2, 4, 5, 6, 9, 10 EndSet StartSet 2, 5, 9, 10 EndSet Help pls 13 points Hewitt and Patel are partners, sharing gains and losses equally. They decide to terminate their partnership. Prior to realization, their capital balances are $30,000 and $20,000, respectively. After all noncash assets are sold and all liabilities are paid, there is a cash balance of $38,000. a. What is the amount of a gain or loss on realization Solve: x - 1 < 3 help me plssss Find two consecutive whole numbers that square root 2 lies between. Simplify the expression (3 - 4i)(1 + 5i) - (2 - i). Show your work please! I have the answer: 21 + `12i but I need to show my work, thank you! If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them. What is the molarity of a solution prepared by dissolving 7.0 moles of NaCl solute in 585 ml of solution?