On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for
$227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets.
Find the price of an adult ticket and the price of a child ticket.

Answers

Answer 1

Answer:

Adults $10

Child: $6

Step-by-step explanation:

I took the test

Answer 2

The price of an adult ticket and the price of a child ticket are $12 and $13.

What is the system of equation?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

On the first night,

the Movie House Theater sold 7 adult tickets and 11 child tickets for $227.

On the second night, they took in $150 by selling 6 adult tickets and 6 child tickets.

Let x be the number of tickets sold to an adult and y be the number of tickets sold to a child.

According to the question,

7x + 11y = 227   equation 1

and 6x + 6y = 150,

Simplifying,

x + y = 25   equation 2

Now, we have a system of equations.

7x + 11y = 227   equation 1

x + y = 25   equation 2

From the equation 2 we have,

y = 25 - x

Substitute the value of y to the equation 1,

7x + 11(25-x) = 227

7x + 275 - 11x  = 227

275 - 227 = 4x

x = 48/4

x = 12

Then y = 25 - 12

y = 13.

Therefore, the prices of ticket for adult's and children are $12 and $13 respectively.

To learn more about the system of equation;

brainly.com/question/13729904

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Related Questions

A piece of ribbon that is 8 and 1/3 yards long will be cut into 5 equal pieces to make bows. How much ribbon will be used foe each bow?

Answers

Answer:

yes

Step-by-step explanation:

Answer: 1 2/3 yards for each bow

Step-by-step explanation:

8 1/3 divided by 5 = 25/3 * 1/5 = 5/3

2. Caleb needs to solve the problem 2,406 ÷ 6. In what place is the first digit of the quotient for the problem 2,406 ÷ 6?

Answers

Answer: 6/203_____________________________________Divide the first expression by the second expression.6/203__________________________________________________

Hope this helps! 

Also can I please have Brainliest...?

Only if I'm right of course...

2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property

Answers

Answer:

b

B zero product property

Answer:

The Zero property

Step-by-step explanation:

anything multiplied by zero will give you a product of zero

A punch recipe calls for 3/4 cups of Sprite for 1 and 1/4 cups of juice. How much Sprite is needed for 5 cups of juice?



Answers

the answer is 3

could I get brainlisted?

A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?

Answers

Answer:

C(12)=$570.18

C(20)=$57.08

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]C(t)=C_o\cdot(1-r)^t[/tex]

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.

The depreciation model is:

[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]

Operating:

[tex]C(t)=18,000\cdot 0.75^t[/tex]

At t=12 years, the price will be:

[tex]C(12)=18,000\cdot 0.75^{12}[/tex]

C(12)=$570.18

At t=20 years, the price will be:

[tex]C(20)=18,000\cdot 0.75^{20}[/tex]

C(20)=$57.08

The 4th term as a G.P is 384 and
3rd term is 96 find the first term.​

Answers

Answer:

first term is 6

Step-by-step explanation:

MULTIPLY BY 4

1) 6  (1st term)

2)     6x4 = 24    (24 is the second)

3)    24 x 4 = 96 (96 is the 3rd)

4) 96 x 4 = 384 (384 the 4th)

For a soccer game, Mr Morant prepared 32 hot dogs. He sold 1/2 of the hot dogs to the fans. He sold 1/4 of the hot dogs to the coaches. How many hot dogs were left?

Answers

Answer:

it is nothing

Step-by-step explanation:

1-1=2

Determine the constant rate of change for each table.
1. Age (yr) Height (in.)

Answers

9514 1404 393

Answer:

2 3/4

Step-by-step explanation:

The rate of change in each case can be found by dividing right-column differences by left-column differences.

Table 1

  (56 -54)/(10 -9) = 2/1 = 2 . . . the constant rate of change

__

Table 2

  (3 -0)/(4 -0) = 3/4 . . . the constant rate of change

_____

Additional comment

Often, in math problems of this sort, you fill in a blank with a number. Above, we have computed those numbers. In real life, it is useful to consider the units that go with that number. The units are divided in the same way the numerical values are.

Table 1: 2 in/yr

Table 2: 3/4 °C/h

CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT

Answers

The dashed line is because the sign is greater than to be a solid line it has to be equal to or greater than and to the shading means any point on there works for the equation easiest way to test where you should shade is by plugging into the equation the point (0,0)

Can someone help me ASAP!?please

Answers

X = 80

Y = 80

Then I can’t see the last one

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Answer:

A.

Step-by-step explanation:

Answer:

The answer is the first one but don't quote me on that

Step-by-step explanation:

Order these from least to greatest

Answers

Answer:

-1 1/2,-1,-1/2,0,1/2,1

Step-by-step explanation:

negatives always go to the least, even if they have a bigger number

HELP ASAP FOR BRAINLIEST!!

Tell whether the expression in the pair is equivalent.

37.) 3(5 + z) and 15 + z

Answers

Answer:

Not equivalent

Step-by-step explanation:

The three would also be distributed to z making the correct equivalent expression 15+3z

Pls help this is already past due

Answers

Answer:

Step-by-step explanation:

-5400/-450

12 minutes

Answer:

12 minutes

Step-by-step explanation:

If the rate of the plane is -450 meters per minute, then you have to use the "division" operation in order to know how much time it takes for the plane to reach an altitude of -5,400 meters.

-5,400 meters ÷ -450 meters/minute = 12 minutes

It will take 12 minutes for the plane to reach an altitude of -5,400 meters.

Let's check:

-450 meters x 12 minutes = -5,400 meters

A photo collage consists of seven equal-sized square photos arranged in a row to form a rectangle. If the total area of the collage is 567 square inches, what is the length of the collage? __ inches

Answers

Given:

Seven equal-sized square photos arranged in a row to form a rectangle.

Total area of the collage is 567 square inches.

To find:

The length of the collage.

Solution:

Let the side of each square be x inches.

Seven equal-sized square photos arranged in a row to form a rectangle.

So, length of rectangle is 7x and width is x.

Area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]567=7x\times x[/tex]

[tex]567=7x^2[/tex]

[tex]\dfrac{567}{7}=x^2[/tex]

[tex]81=x^2[/tex]

Taking square root on both sides, we get

[tex]x=\pm \sqrt{81}[/tex]

[tex]x=\pm 9[/tex]

Side cannot be negative. So, x=9 inches.

Now,

Width = 9 inches

Length = 7(9) = 63 inches

Therefore, the length of the rectangle is 63 inches.

PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

-4

Step-by-step explanation: it is intercepting the -4 so i think -4 is the right answer

Answer:-4

Step-by-step explanation:

it bc the line crosses on -4

la siguinete tabla mustran la correspondencia entre dos variables. Determina si es funcion o relacion

Answers

Answer:

where's the table. on és la taula?

Step-by-step explanation:

Work out the area of Triangle ABC

Just to confirm, these are the numbers,
Bottom right: √2cm
Bottom Left: 3√2cm
Middle right: 2√5cm


Answers

The main idea is using the Pythagorean formula to find the length of line segment [tex]DB[/tex].

Alr so you use the formula [tex]A^2 + B^2 = C^2[/tex]

[tex]C^2[/tex] is already given and is [tex]2\sqrt{5}[/tex]

and [tex]A^2[/tex] is [tex]3\sqrt{2}[/tex]

So using algebraic rules you'll get [tex]B[/tex] as:

[tex]\sqrt{2}[/tex]

Now using the formula: [tex]\frac{1}{2} b * h[/tex], you can find the area of tri ABD and CBD which would be [tex]3[/tex] and [tex]1[/tex] so add them up and you get [tex]4[/tex]!

expand and simplify
(7 + √6)^(2). Give your answer in the form b+c√6​

Answers

Step-by-step explanation:

[tex](7 \: + \: \sqrt{6} ) ^{2} [/tex]

[tex](7 + \sqrt{6)} (7 + \sqrt{6} )[/tex]

[tex]49 + 14 \sqrt{6} + 6[/tex]

[tex]55 + 14 \sqrt{6} [/tex]

The expanded and simplified answer is 55 + 14√6.

How to find the simplified form of an expression?

The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.

The given expression is expanded and simplified:

Given: (7 + √6)^(2)

First, we have to square the expression and expand it.

(a + b)^2 = a^2 +2ab b^2

Similarly we can open the brackets of the given expression:

(7 + √6)^(2) = 49 + 2*7*√6 + 6

= 55 + 14√6

This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.

Therefore, we have expanded and simplified the given expression as 55 + 14√6.

Learn more about the simplified form here: https://brainly.com/question/1698314

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S= CB-7, for C.
What is the Answer to this?

Answers

Answer:

C = (S + 7) / B

Step-by-step explanation:

S = CB - 7

S + 7 = CB

C = (S + 7) / B

Hope this helps!

The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.

Help

Answers

Answer: 96°

180-84 = 96

I hope this is good enough:

The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.



Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?

Answers

Answer:

1 pound of avocado costs $1.8

Step-by-step explanation:

Allow me to rewrite your question for a better understanding and hope it ill fit the original one:

The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

Here is my answer:

Given that:

5 pounds avocados = $9

They want to find out:

cost of 1 pound of avocado

So we use division to solve this problem:

$9:5 pounds = $1.8/pound or:

1 pound of avocado costs $1.8

Hope it will find you well

Thank you.

can i get brainliest by any chance i need 2 more

PLEASEE HELP ASAP!!
WHAT IS THE SLOPE OF THIS GRAPH

Answers

Answer:

Step-by-step explanation:

(-4,0) (-2, -3)

(-3-0)/(-2+4)= -3/2

Which of the following results in the expression 0.86 x 22?

Answers

Answer: 18.92

Step-by-step explanation: Multiply  

22 by  0.86

Answer:

18.92

Step-by-step explanation:

Multiply 0.86 times 22

What is the y-intercept of the graph of the linear function?​

Answers

The y-intercept is -6

.(02.03 MC) Solve for x: |4x + 12| = 16 (5 points) ??.?.?.?.?

Answers

Answer:

x  =  1 , − 7

Step-by-step explanation:

Find all solutions for  x  by breaking the absolute value into the positive and negative components.

Which property is illustrated? x + y = y + x​

Answers

Answer:

commutative property

Step-by-step explanation:

it is

8n+16.2=1.6 what is the variable n

Answers

Answer:

n= -1.825

Step-by-step explanation:

what is the solution for x in the equation?​

Answers

Answer:

x = 5/2 is the answer to the question

V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).

Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46

When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals

Answers

Answer:

The number of visitors increases at the same rate over both intervals

Step-by-step explanation:

The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.

To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.

Hint #22 / 3

We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Let's calculate the average rate of change of VVV over those intervals:

ARC_{[18,20]}ARC

[18,20]

A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC

[20,27]

A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript

\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad

20−18

V(20)−V(18)

 

=

2

18−10

=

2

8

=4

 \begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}

27−20

V(27)−V(20)

 

=

7

46−18

=

7

28

=4

Hint #33 / 3

The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Therefore, the number of visitors increases at the same rate over both intervals.

Using the average rate of change, it is found that the correct option is:

(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.

The rate of change of a function is given by the change in the output divided by the change in the input.

When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:

[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]

When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:

[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]

First case has higher rate of change, thus, option A is correct.

A similar problem is given at https://brainly.com/question/20732437

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