Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York.

Three adults and four children must pay $116

Two adults and three children must pay $82

Find the price of the​ adult's ticket and the price of a​ child's ticket.

Jen Butler Has Been Pricing Speed-Pass Train Fares For A Group Trip To New York.Three Adults And Four

Answers

Answer 1

The price of the adult's ticket is $20 and the price of a child's ticket is $14.

How to calculate the values

Let adults = a

Let children = c

The appropriate equation will be:

3a + 4c = 116

2a + 3c = 82

Multiply equation I by 2

Multiply equation ii by 3

6a + 8c = 232

6a + 9c = 246

Subtract

c = 14

Price for children = 14

Since 2a + 3c = 82

2a + 3(14) = 82

2a + 42 = 82

2a = 82 - 42

2a = 40.

a = 40/2

a = 20

Therefore, the price of the adult's ticket is $20 and the price of a child's ticket is $14.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1


Related Questions

For what values of x is x^3+18x^2+92x+120=0 a true statement.

Answers

For x = -2,-6, and -10 the value of the polynomial will be satisfied.

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

Given the polynomial,

x³ + 18x² + 92x + 120 = 0

By hit trial method let's put x = -2

-8 + 72 - 184 + 120 = 0

-192 + 192 = 0

0 = 0

Now,divide x³ + 18x² + 92x + 120 = 0 by x + 2

(x + 2)(x²+ 16x + 60) = 0

(x + 2)(x + 6)(x + 10) = 0

x = -2,-6 and -10.

Hence "For x = -2,-6, and -10 the value of the polynomial will be satisfied".

To learn more about the roots of an equation,

https://brainly.com/question/12029673

#SPJ1

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation algebraically. Show your work.

17=−13−8x

Answers

Answer:

-15/4 = x

Step-by-step explanation:

17 = -13 -8x

Solving for x

Add 13 to each side

17 +13 = -13+13-8x

30 = -8x

Divide each side by -8

30/-8 = -8x/-8

Simplify by dividing the top and bottom by 2

-15/4 = x

Graduation gift of $5,000 average 2.5% interest. 3. what will the total value be after 10 years simple interest?

Answers

I = PRT
5000 x 0.025 x 10
= 1250
Total value = 5000 + 1250
= 6250

28:32 simplified
Does any one know?

Answers

I wish I could help you and give you the answer

it will be 7:8

Step-by-step explanation:

28/4 32/4

7 8

The number of words in books are discrete or continuous

Answers

Continuous hoped that helped uu

HELP PLEASE
Graph the point (-2,3) and 3 more points using a slope of -1/2

Answers

The linear equation that represents the point (-2,3) and 3 more points with a slope of -1/2 is y = -1/2x + 2

How to graph the point (-2,3) and 3 more points using a slope of -1/2?

The given parameters are

Slope, m = -1/2

Point, (x1, y1) = (-2, 3)

The linear equation is calculated as:

y = m(x - x1) + y1

Substitute the known values in the above equation

y = -1/2(x + 2) + 3

Expand

y = -1/2x - 1 + 3

Evaluate the sum

y = -1/2x + 2

This means that the linear equation that represents the point (-2,3) and 3 more points with a slope of -1/2 is y = -1/2x + 2

See attachment for the graph of the point and the three other points

Read more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

If the graph of the parent function f(x) = x is 7 units up and stretched vertically by a factor of 3

Answers

The transformed function can be seen in the image below, and the rule is:

g(x)= x/3 + 7

How to get the transformed function?

Here we have the parent function, and we want to apply a translation of 7 units up and stretch it vertically by a scale factor of 3

First, we need to apply the translation, remember that a vertical translation of N units is written as:

g(x) = f(x) + N

If we want the translation to be upwards, then we need to use a positive value of N, so in this case we wil have:

g(x) = f(x) + 7

And now we apply a stretch of scale factor 3, this means that we need to divide the variable inside of the function by 3, so we get:

g(x) = f(x/3) + 7

This will give:

g(x)= x/3 + 7

Where we use the fact that f(x) = x

The graph of this function can be seen below.

Learn more about transformations:

https://brainly.com/question/4289712

#SPJ1

Suppose you want to have $600,000 for retirement in 30 years. Your account earns 6% interest. How much would you need to deposit in the account each month?

Answers

To have $600,000 for retirement in 30 years with 6% interest , we need to deposit $498.29 in the account each month.

As given in the question,

Final amount 'A'= $600,000

Time 't' = 30years

Rate of interest 'r'= 6%

Month =12

Let 'P' be the amount deposit in the account each month

[tex]A = \frac{(P(1+\frac{r}{m})^{mt}-1 )}{\frac{r}{m} }\\\\\implies 600,000 = \frac{(P(1+\frac{6}{12\times 100})^{12\times 30}-1 )}{\frac{6}{12\times 100} }\\\\\implies 600,000 \times \frac{1}{200}= P (\frac{12.06}{12})^{360}-1 \\\\\implies 3000 +1 = P(1.005)^{360} \\\\\implies P = \frac{3001}{6.02258} \\\\\implies P = \$498.29[/tex]

Therefore, to have $600,000 for retirement in 30 years with 6% interest , we need to deposit $498.29 in the account each month.

Learn more about interest here

brainly.com/question/13324776

#SPJ1

9x-9y-0
-3x+3y=0
elimination process

Answers

Answer:
(-10,-10)Step-by-step

explanation:

Yes 9x-9y=03x-4y=10In

elimination, we want both equations to have the same form and like terms to be lined up.  We have that.  We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.  We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which.  I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.I will rewrite the system with that manipulation:9x-9y=0-9x+12y=-30----------------------Add them up!0+3y=-30     3y=-30       y=-10So now once you find a variable, plug into either equation to find the other one.I'm going to use 9x-9y=0 where y=-10.So we are going to solve for x now.9x-9y=0 where y=-10.9x-9(-10)=0  where I plugged in -10 for y.9x+90=0  where I simplified -9(-10) as +90.9x     =-90 where I subtracted 90 on both sides.x=       -10 where I divided both sides by 9.The solution is (x,y)=(-10,-10)

Use the order of operations to simplify the expression.
5-8
8-5
+ (7 - 2²)

Answers

Answer:

2

Step-by-step explanation:

-3/3 + (7-2^2) = _

-1+3=2

Bill school is selling tickets to a fall musical. On thefirst day of ticket sales to school sold one adult ticket and 6 children tickets for a total of $52. The school took in $66 on the second day by selling 1 adult ticket and 8 child tickets. Find the price of an adult ticket

Answers

The price of an adult ticket is x= $10

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the adult ticket be x

Let the children ticket be y

first day,

1*x + 6*y = 52

x + 6y = 52   equation 1

second day,

1*x + 8*y = 66

x + 8y = 66   equation 2

Solving both the equations

Subtracting equation 2 -equation 1, we get

x + 8y - x - 6y = 66 - 52

2y = 14

y = 7

putting the value of y in equation 1, we get

x + 6*7 = 52

x = 52 - 42

x = 10

Therefore, price of an adult ticket is x= $10

Read more about mathematical expression at :

https://brainly.com/question/10413253

#SPJ1

Simplify the expression −7+ −5−40​ ×−8

Answers

The value of the given expression when simplified is equal to 318.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified using the PEMDAS as shown below.

-7 + 5 - 40 × -8

As per the PEMDAS multiplication should be solved first,

= -7 + 5 + 320

Further, solve addition,

= -7 + 5 + 320

= -7 +325

= 318

Hence, the value of the given expression when simplified is equal to 318.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ1

Dominie practices the piano 714 minutes in 2 weeks. at what rate did she practice, in minutes per day?

Answers

The number of minutes per day that Dominie practise the piano is 51 minutes per day.

What is the rate of practice?

The first step is to convert two weeks to days.

1 week = 7 days

2 weeks : 7 x 2 = 14 days

The second step is to divide the total minutes Dominie practices by the total number of days. Division is the mathematical operation that is used in grouping a number into equal parts using another number. The result of a division is known as the quotient. The sign used to represent division is ÷.

Number of minutes they practice per day : total practice / number of days in two weeks

714 / 14 = 51 minutes per day

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

Amelia has 120 ten-dollar bills and 75 twenty-dollar bills. What is the ratio of ten-dollar bills to twenty-dollar bills
Simplify your answer.
Enter your answer as a fraction.


please help

Answers

Answer:

24/15

Step-by-step explanation:

120 : 75 =

120/5 : 75/5 =

24 : 15 =

24/15

Answer:

8 : 5 or 8/5

Step-by-step explanation:

starts as 120 : 75

divide both by 5

= 24 : 15

divide both by 3

= 8 : 5 or 8/5

you just need to get them down to the smallest they can. in this case it is 8 and 5. for every 8 $10 bills there are, you have 5 $20 bills.



Aubrey worked at three part-time jobs last week. At one job, she worked 15 hours at a salary of S15 per hour, at another she worked 10 hours at S14 per hour,
and at the third she worked 11 hours at $21 per hour. What was her mean hourly wage?

Answers

I don’t know what I’m doing but I don’t know what I’m doing lol lol I bet you are doing better than

7th grade question

2. Mateo is draining a pool at a rate of 1/8 of a gallon of water every 1/2 hour.

If he continues to drain the pool at this rate, how much water will be

drained in 1 hour?

A.4 gallons

B.1 gallon

C. 1/2 gallon

D.1/4 gallon

Answers

Answer:

1/4 gallon

Step-by-step explanation:

Just multiply the numerator and denominator of the given rate by 2:

2(1/8) gallon 1/4 gallon

------------------ = ---------------- = 1/4 per gallon

2(1/2) hour 1 hour

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
A. Two
B. One
C. Zero
D. Infinitely many

Answers

Answer:The correct option is (b) that is One.Step-by-step explanation:

The two lines have only one intersection

[tex]\therefore[/tex] There are only one solution to the system of equation.

5m + n = 10 Solve for m

Answers

Answer:

[tex]m = - \frac{1}{5} n + 2[/tex]

Which transformation would take Figure A to Figure B?

Answers

Answer:

Reflection over y- axis

514 gram in kg convert into

Answers

Answer:

514 grams is equal to 0.514 kilograms

A storage locker measures 8 feet wide,
12 feet deep, and 9 feet high. The
monthly rental price for the locker
is $3.60 per cubic yard. How much
does it cost to rent the locker each
month? Explain.

Answers

In yards, the dimensions are (8/3), (12/3)=4, and (9/3)=3. The volume of the locker is the product of these dimensions.

Then the rent is
($3.60/yd³) × (8/3 yd) × (4 yd) × (3 yd) = $115.20

The rental cost each month is $115.20.

O LINEAR EQUATIONS AND INEQUALITIES
Finding a percentage of a total amount: Real-world situations
Das
A file that is 244 megabytes is being downloaded. If the download is 18.5% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.
megabytes

Answers

The size of the file that has been downloaded is 50 megabytes.

Given total size of the file is 244 megabytes

The percentage that completed the download till now = 18.5%

We have to determine the size of the file downloaded till now can be written as

= 18.5 % of 244

= 18.5 / 100 * 244

= 45.14 megabytes

≈ 50 megabytes

The size of the file that has been downloaded is 50 megabytes.

To learn more about percentage calculations refer below

https://brainly.com/question/23180641

#SPJ9

2x - 7y=1
4x - 14y= 22
elimination process

Answers

Answer:
No solution

Step-by-step explanation:
Let's solve your system by elimination.−2x+14y=−29;x−7y=19Multiply the second equation by 2, then add the equations together.(−2x+14y=−29)2(x−7y=19)
Becomes

−2x+14y=−292x−14y=38Add these equations to eliminate x:0=9

The number of cars a salesman sold each month for a two year period are represented by the box and whisker plot below. Which of the following statements is most likely to be true?

In approximately 50% of the months he sold less than 9 cars.
In approximately 25% of the months he sold less than 12 cars.
In approximately 75% of the months he sold more than 12 cars.
In approximately 25% of the months he sold less than 9 cars.

Answers

The true statement is that (a) in approximately 50% of the months he sold less than 9 cars.

How to determine which of the statements is most likely to be true?

The given parameter is the box and whisker plot

As mentioned above, the box and whisker plot is a great tool to show the five-number summary.

The five-number summaries are:

MinimumLower quartileMedianUpper quartileMaximum

On the box and whisker plot, we have the following five-number summaries:

Minimum: 0Lower quartile: 4Median: 9Upper quartile: 12Maximum: 19

The difference between the quartlles is

Difference = Upper quartile - Lower quartile

So, we have

Difference = 12 - 4

Evaluate

Difference = 8

This means that in approximately 50% of the months he sold 8 cars

8 is less than 9

This means that in approximately 50% of the months he sold less than 9 cars.

Hence, the true statement is that (a) in approximately 50% of the months he sold less than 9 cars.

Read more about box and whisker plot at

https://brainly.com/question/3473797

#SPJ1

Name three points that are collinear

Answers

Answer:

B, J, C.

Collinear points means the points are on the same straight line, which means they have the same gradient. B, J, C are the only points on the sane straight line.

Find the lateral area of this square based pyramid. base is 10 ft. and slant is 10 ft.

Answers

The lateral area of the square pyramid that has a base of 10ft and height of 10 ft is calculated as: 200 ft²

How to Determine the Lateral Surface Area of a Square Pyramid?

A square pyramid is a solid that has a square base and four triangular lateral faces.

The lateral area of the square pyramid is therefore the total area of the four triangular lateral faces of the square pyramid.

Area of one triangular lateral face = 1/2(base)(height)

Lateral area of the square pyramid = Total area of the four triangular lateral faces = 4 × 1/2(base)(height) = 2(base)(height)

We know the following:

Base = 10 ft

Height = 10 ft

Therefore:

Lateral area of the square pyramid = 2(10)(10)

Lateral area of the square pyramid = 200 ft²

Learn more about the lateral area of square pyramid on:

https://brainly.com/question/27291891

#SPJ1

Which could be a possible value of x for the expression below to be a rational number? √9x+4
X=4
X=13
X=14
X=16

Answers

The answer would be X=13

Determine the relationship between the quantities on the given graph.
Wages Earned ($)
OA. The hourly rate depends on the wages earned.
B.
The time worked depends on the wages earned.
C.
The wages earned depends on the time worked.
The time worked depends on the hourly rate.
O D.
Total Wages
Time Worked (hours)

Answers

The wages earned depends on the time worked is the correct relationship between the quantities on the given graph that means option C is correct

The graph given in the question shows the time worked on x axis and wages earned on y axis and a ray staring from the origin and moving upward

from the graph we can say that when time worked is zero then wages earned is zero. As the time worked is increasing the wages earned is also increasing .

Hence, it can be said that The wages earned depends on the time worked is the correct relationship between the quantities on the given graph that means option C is correct

The correct question is -Determine the relationship between the quantities on the given graph.

Total Wages

Wages Earned ($)

Time Worked (hours)

OA. The hourly rate depends on the wages earned.

OB. The time worked depends on the wages earned.

OC. The wages earned depends on the time worked.

OD. The time worked depends on the hourly rate.

To know more about Graphs - https://brainly.com/question/17267403

#SPJ9

Calculate the area of one triangle so that you can begin building the tabletop .What is the area of each triangle in square inches

Answers

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side opposite to the right angle is the hypotenuse and the two arms of the right angle are the height and the base.

The area of each triangle is 200 square inches.

What is a right triangle?

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side opposite to the right angle is the hypotenuse and the two arms of the right angle are the height and the base.

We have,

The area of a right triangle is given by:

= 1/2 x base x height

We have from the figure,

Base = 20 inches

Height = 20 inches

Area = 1/2 x 20 x 20

Area = 10 x 20

Area = 200 square inches

Thus the area of each triangle is 200 square inches.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

The complete question is:

You work as an assistant to a carpenter who designed the tabletop below. He tells you that each shape is a right triangle, and each is the same size. You now need to calculate the area of one triangle so that you can begin building the tabletop. What is the area of each triangle in square inches?

A. 200 square inches

B. 400 square inches

C. 570 square inches

D. 2,800 square inches

E. 5,600 square inches

How much will a person pay for 6.7 pounds of bananas at a price of $0.64 per pound?

Answers

The person will pay $4.28

Answer:

Price per pound = $0.64

which means one pound of banana costs 0.64$.

so,If 1 pound costs 0.64$ then 6.7 pounds would cost:

1 pound = $0.64

6.7 pounds= 0.64× 6.7

that is equal to $4.288.

Step-by-step explanation:

Price per pound = $0.64

which means one pound of banana costs 0.64$.

so,If 1 pound costs 0.64$ then 6.7 pounds would cost:

1 pound = $0.64

6.7 pounds= 0.64× 6.7

that is equal to $4.288.

Other Questions
PLEASE HELP ILL GIVE BRAINLESTA. divide 2x by 2B. add 5 to both sides of the equationC. divide both sides of the equation by 26D. subtract 5 from the left side of the equation Why did Hadrian build a wall in Northern England? what is the term for tying individual events together to provide meaningful alerts? event correlation describe the influence of the natural enviroment on the society and culture that various native americans had developed 1. Most of the chemicals included in your kit can be discarded down a drain with copious amounts of water. Describe a situation in which you would need to neutralize a chemical before discarding down a drain. can someone help me with this to speak truly, few adult persons can see nature. most persons do not see the sun. at least they have a very superficial seeing. meaning When you weigh the possible outcomes of a decision, whose wellbeing should you take into account?1. yourself and everyone else2. yourself3. yourself and your family4. anyone affected by your decision to give something such as food or medicine to each person in a large group What was one important characteristic of the occupation of Germany following World War I1?A. Democratically elected leaders were given control over theGerman government.B. German territory was split into four parts controlled by the Alliedpowers.C. The German economy was required to focus on industry ratherthan agriculture.D. Communist policies were outlawed throughout German territory. Activity 1: ANALYZING AN ARTWORK Analyze and write something about the artwork shown in the picture ... ... ... I THINK... (What elements of art are used?) ... .... I SEE... (What colors do you see? What shapes are visible?) ... ... ... .... ... ... ... ... I WONDER... (What is the mood of this artwork? What message does it tell you?) ... ... ... What is the Exposition of the book of the unknown Americans Simplify the expression despite repeated nursing interventions to improve reality orientation, a client insists that he is the commander of an alien spaceship. what is the client experiencing serial activities are those that: flow from one to the next in sequence. should be performed simultaneously. have sequential numbers. have the same What does the office background allow you to do? Your friend says that the line with the equation 2x + 3y = 7 has a slope of 2. explain to them the error in their thinking. at 111111:55\text{ p.m.}55 p.m.55, start text, space, p, point, m, point, end text, thomas ties a weight to the minute hand of a clock. the clockwise torque applied by the weight (i.e. the force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. the torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ nm}3 nm3, start text, space, n, m, end text (newton metre, the si unit for torque). the minimum torque of -3\text{ nm}3 nmminus, 3, start text, space, n, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left. find the formula of the trigonometric function that models the torque \tautau applied by the weight ttt minutes after thomas attached the weight. define the function using radians. ..................................................................................... yes Saying "That's great" when someone tells you that you have a big test on Monday after your birthday weekend is an example of _____?verbal ironysituational ironydramatic ironylocalized irony