The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?

Answers

Answer 1

First we write the variables:
x: cost of the ticket for adults.
y: cost of ticket for children.
We write the system of equations:
2x + 3y = 31
2x + 2y = 26
We solve the system:
Step 1:
2x + 3y = 31
-2x-2y = -26
Step 2:
y = 5
Step 3:
2x + 3y = 31
2x = -3y + 31
x = (- 3y + 31) / 2
x = (- 3 * (5) +31) / 2
x = 8
Answer:
the prices for an adult and child movie ticket are:
adults = $ 8
children = 5 $

Related Questions

Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?

Answers

System of equations. Start by writing the equation for each one.
For Adventure Play, 18 is the y-intercept (b) and the slope is 3.25 (m).
y = mx + b
y = 3.25x + 18
For King Music, 23 is the y-intercept and the slope is 2.
y = 2x +23
Since they both equal y, you can set them equal to each other and solve.
2x + 23 = 3.25x + 18
Get x on one side and a variable-free quantity on the other.
3.25x - 2x = 23 - 18
Simplify
1.25x = 5
Then divide both sides by 1.25 to get x by itself.
x = 5/1.25
x = 4
For four songs, the cost will be the same.

The total number of songs is 4 at which the total cost be the same and this can be determined by forming the linear equation in two variables.

Given :

Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.King Music sells a player for $23.00 and charges $2.00 per song.

Let the total number of songs be 'x' and the total cost be 'y'. Now, Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song sp the total cost is given by:

y = 18 + 3.25x --- (1)

Also given that King Music sells a player for $23.00 and charges $2.00 per song so, the total cost is:

y = 23 + 2x --- (2)

Given the total cost will be the same, that is, equate equations (1) and (2).

23 + 2x = 18 + 3.25x

Simplify the above equation in order to determine the value of 'x'.

23 - 18 = 3.25x - 2x

5 = 1.25x

x = 4

So, the total number of songs is 4 at which the total cost be the same.

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When you write $1.35 what does the decimal point means

Answers

i believe the decimial point divides between the dollar value and the cent value in american currecy. aka the decimial point symbolizes the cent value.

The graph below shows the number of chairs arranged with different numbers of tables in a room

A) there are 4 chairs for every 1 table in the room.

B) there are 4 tables for every 1 chair In the room.

C) the ratio of chairs to tables in the room is 5:1

D) the ratio of tables to chairs in the room 5:1

Answers

a. there are 4 chairs for every one table in the room. ratio of chairs to tables is 4:1

If you flip two coins 12 times, what is the best prediction possible for the number of times both coins will land on tails?

_____ times

Answers

It’s a fifty , fifty chance

Answer:

Step-by-step explanation:

I know I'm late by 4 years but the answer is 3. This is because if you divide 12 by the 2 coins you'll get 6. You then need to divide it in half again because it's asking for both coins not only one. This gets you the answer of 3. I'm only writing this because other people may need help, 4 years later-

what sides measurements do i need to know to answer this problem?

Answers

You can pick any sides that have numbers on both figures. LM and CD are useful, because CD = 1. That means any side in the larger figure will be 1.6 times the corresponding side in the smaller figure.
.. LM/CD = MN/DE
.. 1.6/1 = x/2
.. 2*1.6 = x = 3.2

6 more than a number c

Answers

Because it says more than you stwitch the equation around so it’s “a number C plus 6”
So the answer is:
C + 6

Answer:number c + 6

Step-by-step explanation:

You're adding 6 to the number c

45 minus 4.5. Show work

Answers

Let's do subtraction by first starting with the ones place and then the tenths place of the subtrahend.
45-4=41; 44, 43, 42, 41
41-.5= 40.5; 40.9, 40.8, 40.7, 40.6, 40.5
45-4.5=40.5
We can check by using addition.
40.5+4.5=
44+1=
45

brooks planning a dinner party. he plans to give a choice of three kinds of salad: potatoe salad, tossed salad, and pasta salad, there will be three choices of meat: ham, chicken, and turkey. the dessert selections are ice cream, cake, and pie. how many salad/meat/dessert combinations are there?

Answers

There would be nine I think

Rewrite y + 3 = 0 using function notation.
A) f(x) = 3
B) f(x) = -3
C) f(x) + 3 = 0
D) f(x) = y + 3

Answers

f(x) basically just substitutes the "y"
so you would bring everything over to one side
y + 3 = 0
subtract 3
y = -3
then
f(x) = -3

That is B)

Answer:

B) [tex]\displaystyle f(x) = -3[/tex]

Step-by-step explanation:

[tex]\displaystyle y ← f(x) \\ \\ y + 3 = 0; y = -3 \\ \\ f(x) = -3[/tex]

A cube has a surface area of 1,014 square meters. what is the length of one side.

Answers

13 meters. First, you would take 1,014 square meters and divide by 6 surfaces, or faces, for the cube, to get 169 square meters. Then, you would take the square root because each face is a square with equal sides, to get 13 meters.

how to unfoil quickly try not to use a lot of steps.

Answers

regroup; (x³+4x²)-(9x+36)
take out: x²(x+4)-9(x+4)
take out (x+4): (x+4)(x²-9)
factor again: (x+4)(x+3)(x-3)

Final answer:

To unfoil quickly, use the reverse foil method. Identify the first and last terms of each binomial, multiply them, and rewrite the middle term as the sum of the products. Example: (x + 2)(x - 3) = x^2 + 2x - 3x - 6.

Explanation:

To unfoil quickly, you can use a shortcut called the reverse foil method. Reverse foil allows you to quickly determine the original factors of a quadratic expression that has been expanded using the distributive property. Let's say we have the expression (x + 2)(x - 3) and we want to unfoil it. Start by identifying the first term of each binomial, which in this case is x from (x + 2) and x from (x - 3). Multiply these two terms together to get x^2. Then, identify the last term of each binomial, which is 2 from (x + 2) and -3 from (x - 3). Multiply these two terms together to get -6. Finally, rewrite the middle term of the expanded expression as the sum of the two products obtained: (x^2 + 2x - 3x - 6). In this way, you can unfoil the expression quickly and identify the original factors without having to expand it fully.

Are relstioships that have an initial fee proportional or non-proportionial?

Answers

They are non-proportional because the y-value doesn't depend on what the x-value is and the x-value only. Hope this helps!

A square has side lengths of 2x inches. An equilateral triangle has side lengths of (2x+1/3) inches. If the square and the triangle have the same perimeter, what is the value of x?

Answers

Size square × 4 = size triangle × 3
(2X × 4 ) = [(2X +1/3) × 3]

8X = [(6X+1)/3×3]
8X = 6X+1
8X -6X = 1
2X = 1
X= 1/2

Answer : The value of 'x' is [tex]\frac{1}{2}[/tex]

Step-by-step explanation :

As we know that,

The perimeter of square = 4a

The perimeter of equilateral triangle = 3s

('a' is the side square and 's' is the side of equilateral triangle)

Given:

Side of square = a = 2x

Side of equilateral triangle = s = (2x+1/3)

As per question, the square and the triangle have the same perimeter. That means,

Perimeter of square = Perimeter of equilateral triangle

4a = 3s

Now put the value of 'a' and 's', we get the value of 'x'.

[tex]4\times (2x)=3\times (2x+\frac{1}{3})[/tex]

[tex]8x=6x+1[/tex]

[tex]8x-6x=1[/tex]

[tex]2x=1[/tex]

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

Therefore, the value of 'x' is [tex]\frac{1}{2}[/tex]

100 children attended a play on the trip 0.6 were girls. Which fraction represents the number of boys on the trip

Answers

Since 0.6 (or 60%) of the children were girls, 0.4 or 2/5 would be the answer for boys.

Hope this helped!

Final answer:

The number of boys who attended the play is 40. Expressing this as a fraction of the total children (100), we get 40/100, which simplifies to 2/5. So, the fraction representing the number of boys on the trip is 2/5.

Explanation:

The provided information suggests that 60% (or 0.6) of the children on the trip, which were 100, were girls. This means the percentage or portion of girls on the trip is 0.6*100 = 60 girls. Since we're looking for the number of boys, we have to subtract this figure from the total number of children.

So, 100 total children - 60 girls = 40 boys. To express this as a fraction of the total number of children, we get 40/100. This fraction, however, can be simplified to 2/5, which is the fraction that represents the number of boys on the trip.

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Which of the following is the inequality −18x + 2y ≥ −13 written in slope-intercept form?

Select one:
A. y ≥ - 6.5x - 9
B. y ≥ 7x - 10
C. y ≥ 9x − 6.5
D. y ≥ 10x - 7

Answers

Hey there! :)

We're simply just trying to convert "-18x + 2y ≥ -13" into slope-intercept form.

First, we need to know what slope-intercept form is.

Slope-intercept form is : y=mx+b , where m=slope and b=y-intercept.

In order to convert our given equation into slope-intercept form, we have to isolate "y."

We can do this by adding 18x to both sides.

2y ≥ 18x - 13

Then, divide both sides by 2.

2y ÷ 2 = (18x - 13) ÷ 2

Simplify.

y = 9x - 13/2

Convert -13/2 into a mixed fraction.

So, simply divide -13 by 2.

-13 ÷ 2 = -6.5

Plug in -6.5 into where -13/2 was.

y = 9x - 6.5

Therefore, your answer is C : y ≥ 9x - 6.5

~Hope I helped!~

Eleven is decreased by twice a number. Represent this statement using an algebraic expression.
1. 11x-2
2. 2x+11
3. 11-2x
4. 2x-11

Answers

The answer is 4 or d. 2x-11

What I did:
Eleven is decreased= "-11"
Twice a number="2x"
That equals 2x-11.

The required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.

Given that,
Eleven is decreased by twice a number. To determine the correct option that shows the represents the statement using an algebraic expression.

What is an algebraic expression?

The algebraic expression consists of constant and variable. eg x, y, z, etc.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the number be x,
Eleven is decreased by twice a number.
= 11 - 2x

Thus, the required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.

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Calculate the area of a circle with a diameter of 6cm

Answers

Formula for area of circle:
A=πr²
Here diameter, d= 6 cm
Radius, r= d/2 = 6/2 = 3 cm
Put values
A= 3.14 x 3²
A=3.14 x 9
A=28.26 cm²

Answer: 28.26 cm²

Hey there!

We'll do it in terms of Pi, as a variable, and in terms of pi as 3.14

We know that since the diameter is from one side to the other in a circle, dividing it by 2 will give you the radius - the distance to the middle. We plug in this radius to our area formula:

a = [tex] \pi (r^2)[/tex]
a = [tex] \pi (3^2)[/tex]
a = 9[tex] \pi [/tex]

If our area is 9 pi, we can multiply 9 by 3.14 to get an approximate value:

A = 3.14(9)
A = 28.26

Hope this helps!

Describe a cube.use the words faces,edges,and vertices in your description

Answers

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices

a cube is a 3D shape that has 6 faces, 12 edges, and 8 vertices. each face of a cube is in the shape of a square.

Trevor rode his bicycle 25 miles in 2 hours. Assuming Trevor rode at a constant speed, how many miles did Trevor ride in one hour

Answers

So for this one all you have to do is find the average. Simply do 25 divided by 2 to get 12.5 miles per hour.

For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to 5

Answers

Oh, this is a lot easier than you made it sound, lol.
This is the correct answer:
The table with the following:
X=6,7,9,11,13,14
Y=27,33,39,49,58,71

Lol, I didn't realize that was all this was.

Anyways, the table that matches that is correct, that's actually a bit obvious. The numbers you gave me are parameters, a limit. The numbers for x per y have to fall between those numbers listed.

Answer

A is the answer

Step-by-step explanation:

I took the test

The table shows numbers of books read by students in an English class over a summer and the students’ grades for the following semester.

a) Find the line of best fit. Write in the equation for the line of best fit.

b) Use your equation to predict the grade of a student who reads 15 books. Show all your work.

Answers

The linear regression function of your graphing calculator is handy for this.

a) grade = 1.7207*books +73.35

b) grade for 15 books ≈ 99.2

Identify and give all the appropriate names for three different quadrilaterals or other geometric figures in this Navajo eye-dazzler design.

Answers

In this shape, you see a parallelogram (the outer figures) or possibly a rhombus (if each side is the same length), you can create a trapezoid/trapezium from the first 3 triangles that are put together in the second row of triangles from from the top. A third quadrilateral you see is a square (may be called a rectangle and a rhombus as well) in the center. This is created by 2 triangles together.

Answer: I don’t know

Step-by-step explanation: I don’t know

HELP ASAP

Find the system determinant of the given matrix.

-30

-6

6

30

Answers

The order of the given matrix is 2 x 2 as there are 2 rows and 2 columns.

The determinant of 2 x 2 matrix can be calculated as follows:

1) Multiply the main diagonal elements.
The main diagonal elements are 2 and -9. Multiplying them we get -18

2) Multiply the remaining two elements (Non diagonal elements)
The other two elements are 3 and 4. Multiplying them we get 12.

3) Subtract the product of non diagonal elements from the product of diagonal elements, this will give the determinant of the matrix.

So, determinant will be = -18 - 12 = -30

In one step, this can be done directly as:

Determinant = 2(-9) - 3(4) = - 30

So, option A gives the correct answer

CAN I PLZZ GET SOME HELP WITH MATHH

The line segment is reflected about the y-axis to form A'B'. Which statement describes A'B'?

A'B' is half the length of AB.
A'B' and AB are equal in length.
A'B' is greater than twice the length of AB.
A'B' and AB are perpendicular.

Answers

the answer is the 4th one

I'm pretty sure the answer is A'B' and AB are equal. Cause its not rotated to be parallel, and it wasn't dilated, only reflected, which means they are still the same length.

malia is at an amusement park she bought 14 tickets and each ride requires 2 tickets write an expression that gives a number of tickets malia has left in terms of x the number of rides she has already gone on find atlas one other expression that is equvalent to it

Answers

Ok, so she has 14 tickets and each ride cost 2 so that can be modeled with the following expression: x= 14-2y since she initially bought 14 tickets and 2 times the number of tickets she spends. To find the equivalent expression you could basically switch up the formula like so: 7*2-2y=x because you just need an equivalent expression, and you don't need to have such a different formula or anything like that. Hope I helped!

What is the distance around a circle called?

Answers

circumference is the answer

The answer is circumferance

Jeremy is looking at two different options for a new gym membership. Plan A has a fee of $40 plus an additional fee of $19.95 per month. With this plan, the first 3 months are free. Plan B has a fee of $59.85 plus an additional fee of $29.95 per month. With this plan, the first 6 months are free. After how many months would both options cost the same amount?

Answers

The answer is Plan B. 90 for 6 months.

It costs 3 tickets to play a game at the fair. If you spent 21 tickets on the game, which equation could you use to solve for the number of games, g?

A. 21g=3
B. 21·3=g
C. g3=21
D. 3g=21

Answers

Answer:

Option D. 3g=21

Step-by-step explanation:

Let

g -----> the number of games

we know that

The number of games multiplied by 3 tickets to play a game must be equal to 21 tickets

The linear equation that represent this problem is

[tex]3g=21[/tex]

solve for g

Divide by 3 both sides

[tex]g=7[/tex]

Answer:

3g=21

Step-by-step explanation:

im smart (not really though){i got it right on imagine math}

What is the side length of a square with an area of 144x^2

Answers

The answer is 72^2. Hope this helps.

Given: ABCD is a trapezoid,
AD = 10, BC = 8,
CK
- altitude
Area of ∆ACD = 30.
Find: Area of ABCD

Answers

To answer this you will draw a trapezoid and label the points A through D in order. See the picture I have attached. When you create triangle ACD, you have the base of the triangle as 10 and you know the total area. Using this information you can find the height. See the work in the picture. You will solve the equation to find the Height. When you know the height, then you can use the formula for area the trapezoid to find the area of this trapezoid. I have included the work for all the steps described.

Therefore, the area of trapezoid ABCD is 54 square units.

To find the area of trapezoid ABCD, we can use the properties of a trapezoid and the given information.

First, let's denote the unknown base of the trapezoid as BD = b. Since AD and BC are the other two bases, we have AD = 10 and BC = 8. The height of the trapezoid is the same as the altitude of triangle ACD, which is KC = h and is given to be such that the area of triangle ACD is 30.

The area of a triangle is given by the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

For triangle ACD, we have:

[tex]\[ 30 = \frac{1}{2} \times AD \times h \][/tex]

[tex]\[ 30 = \frac{1}{2} \times 10 \times h \][/tex]

[tex]\[ h = \frac{30 \times 2}{10} \][/tex]

[tex]\[ h = 6 \][/tex]

Now that we have the height of the trapezoid, we can calculate the area of the trapezoid using the formula:

[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height} \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times (AD + BC) \times h \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times (10 + 8) \times 6 \][/tex]

[tex]\[ \text{Area} = \frac{1}{2} \times 18 \times 6 \][/tex]

[tex]\[ \text{Area} = 9 \times 6 \][/tex]

[tex]\[ \text{Area} = 54 \][/tex]

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