Jen Butler has been pricing Speed-Pass train fares for a group trip to New York Three adults and four children must pay $120. Two adults and three children must pay $85. Find the price of the adult's
ticket and the price of a child's ticket.

Answers

Answer 1

The adult's ticket will cost $20 while the children's ticket will cost $15.

To find the cost of the tickets

From the question, we have that;

Three adults and four children must pay $120

Representing this in an equation

Let adults = a

Let children = c

3a + 4c = 120 -----1

Also;

Two adults and three children must pay $85.

Representing this in an equation

2a + 3c = 85 -----2

From equation 1

a = [tex]\frac{120 - 4c}{3}[/tex] ----- 3

Substituting a in equation 2

[tex]2 (\frac{120 - 4c}{3} ) + 3c = 85[/tex]

[tex]\frac{240 - 8c}{3} + 3c = 85[/tex]

Multiplying through by 3

240 - 8c + 9c = 255

c = 15

To find a when c = 15

Substitute c = 15 in equation 3

[tex]a = \frac{120 - 4(15)}{3}[/tex]

[tex]a = \frac{120 - 60}{3}[/tex]

a = 20

Therefore, the Adult's ticket is $20 and the children's ticket is $15.

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Related Questions

Latisha found an apartment that she wants to rent. the rent is $675 per month and there is a security deposit of $325. to move in, latisha must have first month's rent, last month's rent and the security deposit. how much does latisha need to move in?
a. $1,000
b. $1,325
c. $1,675
d. $2,000
please select the best answer from the choices provided a b c d

Answers

Latisha needs to pay first month's rent ($675), last month's rent ($675), and the security deposit ($325), which totals $1,325.

Latisha needs to pay a total of $1,325 to move into her new apartment. This includes the first month's rent of $675, the last month's rent of $675, and the security deposit of $325. This total amount must be paid before Latisha can move in and enjoy her new place. In addition to the up-front costs for move-in, Latisha will also need to be prepared to pay her rent each month and maintain her security deposit in case there are any damages to the apartment. Paying the move-in costs is the first step to ensure that Latisha can enjoy her new home.

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What is the quotient of three and one-third ÷ three-fourths?

Answers

The answer of 3 and one third divided by three fourths is 40/9

Caleb wa out at a retaurant for dinner when the bill came. Hi dinner came to $21. He wanted to leave a 31% tip. How much wa hi meal plu the tip, before tax, in dollar and cent

Answers

If Caleb dinner was for $21 then the total bill including tip will be $27.51   .

Caleb went out for the dinner ;

the amount for the dinner = $21 ;

the percent of tip that Caleb want to leave = 31% ;

that means ; tip amount = 31% of dinner amount ;

So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;

the tip amount = $6.51 ;

the total bill = bill for dinner + tip amount = $21 + $6.51 ;

= $27.51 .

Therefore , the total bill amount is 27 dollars and 51 cents   .

The given question is incomplete , the complete question is

Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?

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FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value

Answers

variability.

In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.

There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values ​​in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.

In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.

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What is the solution to the linear equation?
-12+36-1=-5-b
O b = -2
O b = -1.5
O b = 1.5
O b=2

Answers

Answer: b = -2

Step-by-step explanation:Its Oviedo

Answer:

Step-by-step explanation:

SOOOO you would first start by....

ADDING 5 TO BOTH SIDES

You would get -12 + 36 -1 + 5 = -b

cause

addition is the opposite of subtraction and

now the -5 on the right side will be moved to a plus 5 on the left. This isolates the -b term.

Add up the right side and you get 28 = -b

So next up is a very interesting step.

Multiply both sides by -1, which results in negative terms becoming positive and positive terms becoming negative.

THEREFORE

You get the answer to b = -28

which is none of the answers above

thank me

Write the equation of direct variation that includes the given point .

(-6,5)
(14,-28)

Answers

Answer:

33/20

Step-by-step explanation:

The direct variation is the slope, or how much the y-value of the line changes when the x-value of a line increases by 1.

Plug into the formula:

[tex]\frac{y_2-y_1 }{x_2-x_1}[/tex]

[tex]\frac{-28-5}{14--6}[/tex]

[tex]\frac{33}{20}[/tex]

If the function g is defined as g(x)=3x2−5(x+2), what is the value of g(4)?

Answers

The value of the function g(x) at g = 4 is 18.

What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is a function g(x) as follows -

g(x) = 3x² - 5(x + 2)

We have the following function as -

g(x) = 3x² - 5(x + 2)

For g(4), we can write -

g(4) = 3 x (4)² - 5(4 + 2)

g(4) = 3 x 16 - 5 x 6

g(4) = 48 - 30

g(4) = 18

Therefore, the value of the function g(x) at g = 4 is 18.

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find the value of x and y.
(3x+19)°
(4x+14)°
And y ‍♂️

Answers

Answer:

X=34 Y=146

Step-by-step explanation:

3x+19is equal to 4x+14 through this we can look for the value of x which is 34

angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146

Helpppp!!

7.5
15.
30.
None of these choices are correct.

Answers

Answer:30

Step-by-step explanation:

In a triangle, the midsegment is half of base (AC)

so, AC would be double of DE, meaning 15×2=30

Andrea loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total amount of money Andrea has written in her bank book after the loans?

Answers

Answer: -$100

Step-by-step explanation:

We know that Andrea loaned $5 to each of the 20 people.

So 5 times 20 = -$100

A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1,6%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?

Answers

Answer:

$860.10

Step-by-step explanation:

Fill in the missing parts. 1/7 of...is 1/35

Answers

Answer:

1/5

Step-by-step explanation:

of: *

is: =

1/7 * x = 1/35

Multiply by 7 on both sides.

7(1/7x) = 7(1/35)

x = 1/5

b. There are 39 books and 21 binders
Write the ratio of binders to books.

Answers

Answer:

The ratio is 7 : 13

Step-by-step explanation:

There are 39 books and 21 binders

Write the ratio of binders to books.

binders: books

21 : 39

Divide each side by 3

21/3 : 39:3

7 : 13

The ratio is 7 : 13

Answer:

Ratio is [tex]\frac{7}{13}[/tex] or 7 : 13

Step-by-step explanation:

the formula would be 21 ÷ 39

next would be to cross out the common factor which is [tex]\frac{7}{13}[/tex]

so the final answer is [tex]\frac{7}{13}[/tex]

Solve for m.

−2.4(m−2/3)=−9

Enter your answer as a simplified mixed number in the box.

m =
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Answers

The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

−2.4(m − 2/3) = −9

Simplify the equation, then we have

−2.4(m − 2/3) = −9

m - 2/3 = 9/2.4

m - 2/3 = 15/4

m = 15/4 + 2/3

m = 53 / 12

m = 4 ⁵/₁₂

The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.

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Find the area of the pizza if the diameter is 15 in.

Answers

Answer:

  176.7 square inches

Step-by-step explanation:

You want the area of a 15 inch diameter pizza.

Area

The formula for the area of a circle in terms of its diameter is ...

  A = (π/4)d²

The area of the pizza is ...

  A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches

The area is about 176.7 square inches.

if x and t represent distance and time, respectively, the c in x = 1/2ct 2 must

Answers

C have dimension of [tex]\frac{L}{T^2}[/tex] in the given equation.

What is dimension of physical quantity?

The term "dimension" refers to the power to which the fundamental quantities are magnified in order to express a physical quantity. The letters [M], [L], and [T] stand for mass, length, and time, respectively.

given the equation is:

x = [tex]\frac{1}{2}Ct^2[/tex]

and given that x represents distance and t represents time

as we know Dimension of x id L and dimension of time is T

and according to dimensional analysis dimesion of Left side must be equal to dimension to Right side.

let [x] denote dimension of x

so [x] = [C] [[tex]t^2[/tex]]

as [x] = L and [[tex]t^2[/tex]] = [tex]T^2[/tex]

L = [C] *  [tex]T^2[/tex]

so [C]  = [tex]\frac{L}{T^2}[/tex]

so dimenstion of C is  [tex]\frac{L}{T^2}[/tex]

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You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
3% and 144 times
3% and 4 times
O 0.33% and 1 time
0.33% and 144 times

Answers

Answer:

Below

Step-by-step explanation:

4%  /12  = .33 % per period

  periods per year = 12

     

  money is compounded each month for 12 years = 144 times

Kayla pays 18% of her earnings in taxes. This week she earns a total of $1,200. Kayla wants
to know how much of her earnings are left over after taxes are paid.
How much does Kayla pay in taxes?

Answers

Answer:

She has $984.00 left after taxes.

She pays $216.00 in taxes

Step-by-step explanation:

1200 x .18 = 216

She pays $216.00 in taxes

1200 - 216 = 984

She has $984.00 left after taxes.

What is the answer to 26.52x14

Answers

Answer: 371.28

I hope that this helps! :)

Answer: 371.28

Step-by-step explanation: hope it helps mark brainlist if helpful

At his job, Jake earns $7.50 per hour. He also earns a $55 bonus every month. Jake
needs to earn at least $235 every month.

Part A. Jake determines that the inequality 7.50h + 55 ≥ 235 can be used to calculate
the number of hours he needs to work each month. Explain why the symbol ≥ is used
within the inequality.

Part B. Solve and graph the solution set for the number of hours Jake needs to work
each month.

Answers

a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.

b) The solution to the inequality is given as follows:

h ≥ 24.

This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.

How to solve the inequality?

The inequality in this problem is defined as follows:

7.50h + 55 ≥ 235.

It gives the number of hours that Jake must work to earn at least $253.

The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.

The solution is then obtained as follows:

7.50h + 55 ≥ 235

7.5h ≥ 180

h ≥ 180/7.5

h ≥ 24.

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21. Calculate the future value of a $7,000 after 9
years, when there is an interest rate of 2.05%
with quarterly simple interest payments.
[A] $7,322.88
[D] $8,419.30
[B] $8,414.35
[E] $7,527.31
[C] $6,148.05

Answers

To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:

Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)

Plugging in the values given in the question, we get:

Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)

This simplifies to:Future value = $7,000 * (1.005125) ^ 36

Using a calculator or spreadsheet to calculate this value, we get:

Future value = $8,414.35

Therefore, the correct answer is [B] $8,414.35.

Keilantra and her children went into a movie theater and will buy drinks and pretzels.
She must buy no more than 7 drinks and pretzels altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of pretzels purchased p.

Answers

The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.

How to illustrate the inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.

From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether

In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.

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List the statements and reasons thanks!

Answers

The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate

How to carry out congruency proof?

From the given items, we see that the congruency proofs are;

Statement 1; ΔEBC ≅ ΔFDC

Reason 1; Given

Statement 2; ∠EAC ≅ ∠ECA

Reason 2; Given

Statement 3; ∠FAC ≅ ∠FCA

Reason 3; Given

Statement 4; AE ≅ A F

Reason 4; SSS congruency postulate

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in class a there are 20 students 14 of them are girls in class b there 25 students 15 of them are girls (a) which class has more girls?
(b) which class has greater percentage of girls?​

Answers

Answer:

(A) Here, as we can see class A has more girls than class B.

(B) Class A has a greater percentage of girls.

Step-by-step explanation:

Given;In class A there are 20 students 14 of them are girls.In class B there are 25 students 15 of them are girls

So,

For class A

14/20 × 100 = 70%

For class B

15/25 × 100 = 60%

(A) Here, as we can see class A has more girls than class B.

(B) Class A has a greater percentage of girls.

for a random sample of 90 such pairs, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?

Answers

The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .

As stated in the assertion

The sample n has been provided, and we need to determine the sample's standard deviation.

For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.

The value of alpha is given as,

alpha = 1.6.

Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and

s = alpha/ 90 s

= 1.6/9.48 s

= 0.168

Therefore, 0.168 is the x distribution's standard deviation.

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a blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches what is the length of the actual wall in feet

Answers

The length of the actual wall in feet is 4.69 feet.

In mathematics, what are scales?

The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. A scale is a set of levels or numbers that are used in a specific system of measuring or comparing things.

In this case, the blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches, the length of the actual wall in feet will be:

= 3 × 25

= 75 inches

Since 1 feet = 16 inches

75 inches will be:

= 75/16

= 4.69 feet.

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Jen Butler ha been pricing​ Speed-Pa train fare for a group trip to New York. Three adult and four children mut pay $129 Two adult and three children mut pay $92 Find the price of the​ adult' ticket and the price of a​ child' ticket

Answers

The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.

The price of the​ adult ticket and the price of a​ child ticket can be calculated by using algebraic expressions as follows;

Considering adult ticket price = y and child ticket price = x;

The algebraic equations for tickets can be given as follows;

3y + 4x = $129

2y + 3x = $92

Now we can calculate y as follows;

3y + 4x = 129

3y = 129 - 4x

y = 129 - 4x / 3

Adding this value of y in the second equation as follows;

2y + 3x = 92

2(129 - 4x / 3) + 3x = 92

258 - 8x / 3 + 3x = 92

258 - 8x / 3 = 92 - 3x

258 - 8x = 3(92 - 3x)

258 - 8x = 276 - 9x

9x - 8x = 276 - 258

x = $18

Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;

2y + 3x = 92

2y + 3(18) = 92

2y + 54 = 92

2y = 38

y = 38 / 2

y = $19

Therefore the price of an adult ticket is $19.

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Solve the following inequality using the algebraic approach:
x + 2 greater-than 3 x minus 8
a.
x greater-than negative 5
b.
x less-than negative 5
c.
x less-than 5
d.
x greater-than 5

Answers

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Here,  we can solve the inequality x + 2 > 3x - 8 as follows :

We get 2 on both sides of an inequality by the process of subtraction

or, x + 2 - 2 > 3x - 8 -2

or,  x > 3x -10

We get  10 on both sides of an inequality by the process of addition

or, x +10 > 3x -10 + 10

or, x + 10 > 3x

We get x on both sides of an inequality by the process of subtraction

or, x + 10 -x > 3x -x

or, 10 > 2x

We get 2 into both sides of an inequality by the process of division

or, 5 > x

Therefore, x < 5.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

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What is the measure of ∠xbc? m∠xbc = m∠bac m∠bca 3p – 6 = p 4 84 3p – 6 = p 88 2p – 6 = 88 2p = 94 m∠xbc = °

Answers

The measure of m∠XBC=(3p-6)°=(3·47-6)°=135°.

What is meant by geometric mean theorem?The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry. It claims that the altitude is equal to the geometric mean of the two segments.The later version provides a method for squaring a rectangle using a ruler and compass, which entails creating a square with the same area as the rectangle in question.Since the inverse of Thales' theorem guarantees that the hypotenuse of the right angled triangle is the diameter of its circumcircle, the theorem may also be seen as a specific example of the intersecting chords theorem for a circle.

Given data :

m∠XBC = m∠BAC + m∠BCA,

Now if : m∠XBC=(3p-6)°: m∠BAC=(p+4)°: m∠BCA=84°,

then we get the equation :

3p-6=p+4+84

(option 2), 3p-6=p+88

(option 3), 3p-p-6=p-p+88,2p-6=88

(option 4), 2p-6+6=88+6,2p=94

(option 5), p=47.

Then m∠XBC=(3p-6)°=(3·47-6)°=135°.

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Answer:

135
answer in picture

Step-by-step explanation:

gallup political polls ask people their political party affiliation- democrat, republican, or independent. which level of measurement is used to measure party ? nominal ordinal interval ratio

Answers

In Gallup political polls, respondents are asked which political party they identify with: independent, democratic, or republican. Nominal level of measurement is used to measure party

Nominal level of measurement is used when assigning a name, label, or category to a particular attribute of an individual, group, or phenomenon. In the case of party affiliation, the Gallup Political Polls ask people to identify themselves as Democrat, Republican, or Independent. These labels are mutually exclusive, and do not imply any particular order. Therefore, the level of measurement used to measure party is nominal.

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