Heather's family has 2 adults and 3 kids. The tickets to the musical cost them $72.85.
Carl's family, on the other hand, paid $94.75 for 2 adults and 5 kids. How much higher
was the cost of an adult's ticket compared to a kid's ticket? Let the cost of an adult's
ticket be x and the cost of a kid's ticket be y.

Answers

Answer 1

Answer:

$9.05

Step-by-step explanation:

x = $adult

y = $kid

2x + 3y = 72.85 (Heather)

2x + 5y = 94.75  (Carl)

subtract the equations to get:

-2y = -21.90

y = 10.95

solve for 'x':

2x + 3(10.95) = 72.85

2x + 32.85 = 72.85

2x = 40

x = 20

Difference between 20 and 10.95 is $9.05


Related Questions

find the slope for me please (2, -5) (7, -5)

Answers

Answer:

slope=y2-y1/x2-x1

=-5+5/7-2

=0/5

=0

Step-by-step explanation:

the diameter of a circle is 24 meters what is the circumference

Answers

Answer:

The circumfrence is 75.36

Step-by-step explanation:

I hope this helps

Hopes this helps:

Answer: The circumference of a circle with diameter 24 is 75.4(*)

The tree diagram shows Leila's choices for dinner at a restaurant. How many possible dinner combinations exist?

Answers

Based on the tree diagram, there are a total of 12 possible dinner combinations for Leila.

Define combinations?

In mathematics, combinations are a way to count the number of ways to choose a subset of items from a larger set, where the order of the chosen items does not matter. The number of combinations is often denoted using the symbol "n choose k", where n is the total number of items and k is the number of items being chosen.

To see why, we can count the number of paths through the tree diagram. Starting at the top, there are 2 choices for the type of dips: Guacamole dip or Cheese dip. For each of these choices, there are 2 choices for the dessert : Burrito and Enchilada. Finally, for each main course, there are 2 choices for the main course: Chicken and Beef.

Multiplying the number of choices at each step, we get:

2 (choices for dips) x 2 (choices for dessert) x 2 (choices for main course) = 8 possible dinner combinations.

Therefore, there are 3 possible dinner combinations for Leila.

To learn more about subset from the given link :

https://brainly.com/question/23454979

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please help!!! due soon :)))) (look at my other questions too)

Answers

the answer is most likely 180

Which function describes the sequence 4, 12, 36, 108, ... for n = 1, 2, 3, 4...?

a) f(n) = 2" + 1

b) f(n) = 3n

c f(n) = (n − 1)2 + 3

d) f(n) = 4.3"-1

Answers

Answer:

d) f(n) = 4 . 3^(n-1)

______________

(x-4) (2x+5)(x+7) (x+7)(3x-4)(2x-5)

simplify it pls​

Answers

Answer: 12x^6+104x^5-319x^4-2890x^3+4661x^2+14000x-19600 sorry I don't have enough time to explain I got to go hope that helps tell me if I was right or not bye!

Step-by-step explanation:

which one is it?‼️‼️

Answers

C is the correct answer I had this question before

Answer:

C

Step-by-step explanation:

20 ÷ 5 = 4

24 ÷ 6 = 4

28 ÷ 7 = 4

32 ÷ 8 = 4

So the correct answer is C

if r = 9 in., what are the volumes for the cone, cylinder, and sphere?

I NEED HELP WITH THIS IT'S DUE TOMORROW!!​

Answers

Step-by-step explanation:

the volume of :

cone = ⅓π.r².r= ⅓π.r³

cylinder = π.r²r= π.r³

Sphere = 4/3 π.r³

for r = 9 in =>

the volume of:

14. cone = ⅓.π.9³= ⅓π × 729 = 243π in³

15. cylinder = π.9³ = 729π in³

16. Sphere = 4/3 π.9³ = 972π in³

17. the volume ratio among cone, cylinder and Sphere is : ⅓ : 1 : 4/3 =

1 : 3 : 4

What is the area of the shape?​

Answers

Answer:

20 is the answer :))))

20

The answer is 20!!!!

Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32

Answers

6x+7y=32 and 2x+5y=16

if you add the two equations you get the first answer and if you subtract the two equations you get the second answer

HELP ME ASAP PLS !!!

Answers

Answer:

64 degree

Step-by-step explanation:

The tangent is perpendicular to the normal. In case of circle the normal is the radius which passes from the center of the circle.

Here Angle BAC = 90 degree (as the angle between the tangent and normal)

Angle BAC = 26 degree,

The sum of all the angles in a triangle is 180 degree,

So,

angle BAC + angle ABC + angle ACB = 180 degree

26 degree + angle ABC + 90 degree = 180 degree

angle ABC = 64 degree

PLEASE!!! I JUST REALLY NEED HELP RIGHT NOW! T∆T
Using the 45o -45o -90o triangle theorem, solve this triangle.​

Answers

Answer:

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 =opposite /hypotenuse

1/[tex]\sqrt{2}[/tex]=24/k(do cross multiplication)

24[tex]\sqrt{2}[/tex]=k


You want to make five-letter codes that use the letters A, F, E, R, and without repeating any letter. What is the probability that a randomly chosen
code starts with Mand ends with E?

Answers

Answer:

Probability [chosen code starts with M and ends with E] = 0.05

Step-by-step explanation:

Given:

Total alphabet = A, F, E, R, and M

Creating name without repeat

Find:

Probability [chosen code starts with M and ends with E]

Computation:

Probability Name start with M = 1 / 5

Probability Name start with E = 1 / (5-1)

Probability Name start with E = 1 / 4

Probability [chosen code starts with M and ends with E] = Probability Name start with M x Probability Name start with E

Probability [chosen code starts with M and ends with E] = (1/5)(1/4)

Probability [chosen code starts with M and ends with E] = 1 / 20

Probability [chosen code starts with M and ends with E] = 0.05

3. Three resistors with values of 3 Ω, 4 Ω and 5 Ω are connected to a 12 V battery.
a. Draw the circuit.



b. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor?


e. Calculate the voltage drop across each resistor.



f. How does the voltage drop across each resistor compare to the voltage of the battery?


4. Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Answers

Answer:

I think it's 4

Step-by-step explanation:

Three resistors with values of 12 Ω, 24 Ω and 6 Ω are connected in series to one another and a 24 V power supply. Draw the circuit and fill in the data table.

Which choice is equivalent to the expression below?
√20 + √45

Answers

Answer :

→ √20 + √45

→ 2√5 + 3√5

Taking √5 as common.

→ (2 + 3)√5

55

Therefore, option A is correct.

I need help thank you!
(7x + 14)
(15x - 4)

Answers

Answer:

(7x + 14)° = 84°

(15x - 4)° = 146°

Step-by-step explanation:

62° + (7x + 14)° = (15x - 4)°

62° +7x + 14 = 15x - 4

15x - 7x = 62 + 14 + 4

8x = 80

x = 10

Therefore, exterior angle (15x - 4)° = 146°

                interior angle (7x + 14)° = 84°

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug. How many mugs did Jack make if he had 28.88 lbs of clay left over?


Please help me I really need the answer I have to do 6 more assignments and Helping me would really help me finishing.​

Answers

Given :

Jack bought 50 lbs of clay for his art projects. He used 13.2 lbs to make a sculpture, and 0.72 lbs for each mug.

To Find :

How many mugs did Jack make if he had 28.88 lbs of clay left over.

Solution :

Clay required to make 1 mug, r = 0.72 lbs.

Amount of clay left after making sculpture is, T = 28.88 lbs.

Now, number of clay mug Jack can make is :

[tex]n = \dfrac{28.88}{0.72}\\\\n= 40.11[/tex]

Since, number of mug cannot be in decimal, so we take the floor value.

Therefore, number of mug that can be prepared is 40 .

Find the area of the shape ​

Answers

ITS GOING TO BE 18* because it can be reversed and simple

Find the exact value of sin 2pi/3

Answers

Answer:

2 x 3.14 = 6.28

6.28 divided by 3 = 2.093 around 2.1

need help quickly please!

Answers

Answer:

86

Step-by-step explanation:

Considering that it is a triangle ABC which means AB = AC + BC AB = 48 + 38 = 86

 I think that's it I hope it will help you

The solid triangular prism shown below is made from metal . The prism is melted down and the metal is used to create a solid cube. Find the side length of the cube. For the triangle, the base is 9cm, Height is 4cm, and Length is 12cm.

Answers

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

do you know how to solve this?

Answers

a = 36 yards

Explanation:
According to the Pythagoras Theorem,
45^2 = 27^2 + a^2
2025 = 729 + a^2
2025 - 729 = a^2
1296 = a^2
a = sqrt 1296
a = 36

Answer:

a) 36yards

Step-by-step explanation:

I just took the test

What is the slope of the line on the graph below?
Options:
A.-1/2
B.1/2
C.1
D.2

Answers

Answer:

2

Step-by-step explanation:

4d multiply 7d exponent is 4

Answers

4 to the fourth power is 256 (4 x 4 x 4 x 4) 7 to the fourth power is 2,401 (7 x 7 x 7 x 7), 256 x 2,401 = 614,656.

If you doubled joes age and added 10 years he would still be younger than his uncle. His uncle is 51. Use inequalities to find how old Joe is.

Answers

Answer:

He is 20 at oldest, or [tex]x\leq 20[/tex]

Step-by-step explanation:

The first step in finding a possible age is:

Subtract 10 from 51, and you get 41. Divide by 2, and you get about 20.5.

This means Joe is younger than or 20 years old.

Which set of shapes could be used to form a net for a square pyramid?
1 square and 4 triangles
2 squares and 4 triangles
1 square and 4 rectangles
2 squares and 4 rectangles

Answers

Answer:

1 square and 4 triangles

Step-by-step explanation:

Answer:

The answer is (A) or 1 square and 4 triangles .

Step-by-step explanation:

Looking at a picture of a square pyramid would help to answer this question. (Btw sorry if im late) Stay safe<3 .

Which of the following best describes the shape of the distribution below ?
A) Uniform
B) right skewed
C) bell shaped
D) left skewed

Answers

Answer:

Its right skewed

how do i factor this problem?

Answers

The problem is actually already factored for you. They are asking you to just set the equation to zero. Find the zeros.

What is the solution to the equation below? ​

Answers

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

=============                   ========

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

 

I ligit dont understad

Plz help asap!!

And explanation will get brainlyst

Find the equasion for the following parabola

Vertex (4,3)

Directrix x (6)

4

3

6

Answers

Answer:

(y - 3 )² = 8 ( x - 4 )

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

The equation of parabola is

( y - k )² = - 4 ( P) ( x - h )

Now  p = 4 - x = 4 - 6 = - 2

And given value of ( k , h) = ( 4 , 3)

Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )

Or,  ( y - 3 )² = 8 ( x - 4 )

Hence The equation of parabola with directrix x = 6 And

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )     Answer

The answer  is (y - 3 )² = 8 ( x - 4 ).

The given vertex of Parabola is ( 4 , 3)

And Directrix is X = 6

What is the equation of a parabola?

The equation of a parabola is :

⇒ [tex]( y - k )^{2} = - 4 ( P) ( x - h )[/tex]

Now  p = 4 - x = 4 - 6 = - 2,

And given value of ( k , h) = ( 4 , 3)

Or [tex]( y - 3 )^{2} = - 4 ( - 2) ( x - 4 )[/tex]

Or, [tex]( y - 3 )^{2} = 8 ( x - 4 )[/tex]

Hence, The equation of a parabola with directrix x = 6 and

vertex ( 4 , 3 ) is  ( y - 3 )² = 8 ( x - 4 )

Learn more about the equation of a parabola here: brainly.com/question/4061870

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