Tickets to the movies cost $9.50 for adults and $6.50 for kids. A large group bought 12 tickets and spent a total of $87. How many kid's tickets did the group purchase?

Please include an equation.

Answers

Answer 1

Answer:

12 tickets

Step-by-step explanation:

please brainleist please tysm☺️☺️☺️☺️☺️

Answer 2

Answer:

9 kid's tickets

Step-by-step explanation:

Given

Kid's tickets = k, one ticket costs $6.5, total cost 6.5kAdult tickets = a, one ticket costs $9.5, total cost 9.5a

Equations:

a + k = 129.5a + 6.5k = 87

Substitute a into second equation a = 12 - k and solve for k:

9.5(12 - k) + 6.5k = 87114 - 9.5k + 6.5k = 873k = 114 - 873k = 27k = 9

Related Questions

Damian invested $8,400 in an account paying an interest rate of 2% compounded
daily. Brayden invested $8,400 in an account paying an interest rate of 2%
compounded annually. After 8 years, how much more money would Damian have in
his account than Brayden, to the nearest dollar?

Answers

Answer:

$332

Step-by-step explanation:

Find the missing measurement round answer to nearest tenth

Answers

Answer:

hope this helps you out five is a little harder to read sorry

Can you guys help me with a math problem

If Jacob had an allowance for 20 every 2 weeks how much money will he have saved up after 17 months

Please help I am on a timer

Answers

Answer:

680.. that is if we are only doing 4 weeks = a month but yeah :)

Step-by-step explanation:

Answer:

about 680

Step-by-step explanation:

17 months rounds up to 68 weeks so divide by 2 and it would make 34 since jacob is getting the allowance every two weeks then multiply it by 20 which makes 680

i don't know if this is correct but I hope it helps

evaluate 4^3+3x5-8Captionless Image

Answers

Answer:

71

Step-by-step explanation:

64+3×5-8

64+15-8

79-8

71

Answer:

71

Step-by-step explanation:

4^3 = 64 + 15 = 79 - 8 = 71

Give me my brainllest

Translate algebra expressions take away 2 from 8 times f

Answers

Answer:

Algebraic Expression:

[tex]8f - 2[/tex]

Answer:

(8f)-2

Step-by-step explanation:

8 times f is multiplication, take two away is subtraction.

What is the measure of RMN( don’t understand how to get the answer) PLZZZ HELP.

Answers

Answer:

RMN+117°=180

RMN=63°

Angle RMN is on the straight line with <117 in which the sum of angle on a straight line add up to 180 so we subtract 117 from 180 to get RMN

i need help on my math problem

Answers

Answer:

420 cubic inches. Or 420 inches cubed

Step-by-step explanation:

V = l * w * h

12 * 7 * 5 = 420

Answer:

7*5*12=  420

Step-by-step explanation:

Volume of a rectangular prism would be Length * width * height.

so the length = 12 inches

the width = 5 inches

and the height = 7 inches

Plug those in and you get 420 inches cubed :)

Solve these equations: |x-6|=-10

Answers

Answer:

I got x= -4 as the answer. I hope it helps

Help me with this question pls

Answers

A because middle school got 11 and 12 years olds

help me pls very much appreciated luvs <33

Answers

Answer:

18

Step-by-step explanation:

Since this is a multiple choice question, I will employ the guess and check method - meaning I will check each answer one by one.

Variable x = dimes = $0.10

Variable y = quarters = $0.25

Set up a system of equations:

x + y = 38

x(0.10) + y(0.25) = 6.80

Plug in each choice into the second equation. You can find the number of quarters that correspond to each number of dimes by using the first equation.

20 dimes:

20 + y = 38

y = 18

20(0.10) + 18(0.25) = 6.80

2 + 4.5 = 6.80

6.5 does not equal 6.80

Because dimes (x) are worth less than quarters (y), this result tells us the answer will be less than 20 dimes as with 20 or more we have less than $6.80. Another example just to show this is true:

38 dimes:

38 + y = 38

y = 0

38(0.10) + 0(0.25) = 6.80

3.8 + 0 = 6.80

3.8 does not equal 6.80.

Since x is worth less than y, we need more of y rather than x. Adding more x will only mean we will get a lower price. Adding more y will mean we get a higher price which is what we need. So only solve for x that is less than 20.

6

6 + y = 38

y = 22

6(0.10) + 32(0.25) = 6.80

0.60 + 8 = 8.60

8.60 does not equal 6.80.

This result is higher than what we wanted (6.80) which means we need more x. Now we only have to solve for x numbers that are greater than 6 and less than 20.

18

18 + y = 38

y = 20

18(0.10) + 20(0.25) = 6.80

1.8 + 5 = 6.8

6.8 does equal 6.8.

Correct!

What is the equation?

Answers

Answer:

76

Step-by-step explanation:  and explain

Answer:

Step-by-step explanation:

hello : here is an solution

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Answers

Answer:

2x + 2x + x - 8 = 4 (x + 2)

x = 16

Step-by-step explanation:

Because that's a square, the perimeter would be 4s where s is the measure of the side:

2x + 2x + x - 8 = 4 (x + 2)

To solve, refer below:

2x + 2x + x - 8 = 4x + 8

5x - 8 = 4x + 8

5x = 4x + 8 + 8

x = 16

80% of the tickets sold at a water park were child tickets. If the park sold 720 tickets in all, how many child tickets did it sell?

Answers

Answer:

576 child tickets were sold.

Step-by-step explanation:

Since you know the amount of tickets that were sold and the percentage of the tickets that were child tickets, you have to multiply the number of tickets sold by that percentage to find the answer:

720*80%= 576

According to this, the answer is that 576 child tickets were sold.

what is the slope of a line passing through (-3,-7) and (1,4)

Answers

solution,

slope(m) = y2-y1/ x2-x1

= 4+7/1+3

=11/4

I hope this is correct, the formula can be wrong so pls double check if u have formula.

Calculate the expected value of playing a lottery ticket game where each ticket costs $5, and the chance of having winning ticket is one in one million, and the payout for having a winning ticket is 4.9 billion dollars. Round the expected value to the nearest cent.

Answers

Answer:

$4895

Step-by-step explanation:

P(winning) = 1 / 1000000 = 0.000001

P(not winning) = 1 - 1/1000000 = 0.999999

Winning amount = 4,900,000,000 - 5 = 4899999995

Amount lost = - 5

__ X: - 5 _________ 4899999995

P(X) : 0.999999 ___ 0.000001

Expected value E(x) = Σx * p(x)

E(x) = - 5(0.999999) + 4899999995(0.000001)

E(x) = - 4.999995 + 4899.999995

E(x) = 4895

Hence, expected value is 4895

What are vertical angles called?

Answers

Answer:

They are called vertical angles but are also known as "Vertically Opposite Angles"

Step-by-step explanation:

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Answer:

"Vertical" refers to the vertex

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.

I'M SO SORRY IF WRONG FORGIVE ME the internet gave me this

Find c.
Round to the nearest tenth:
8 cm
82
55°
b
c = [? ]cm
Law of Sines:
sin A
sin C
sin B
b
Please help asap

Answers

Answer:

9.7cm

Step-by-step explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm

The graph shows the population of a city from 1900 to 2000. What is the average rate of change of the population between 1950 and 1980?

Please help! I attached a photo of the graph.

Answers

Answer:

-15

Step-by-step explanation:

in 1950 it was 45 and in 1980 it was 30 so it is -15

The average rate of change can be define as the value of something is changing with respect to another thing is tinging. The average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.

Given information-

The given graph shows the population of a city between the year 1900 to 2000.

Average rate of change-

The average rate of change can be define as the value of something is changing with respect to another thing is tinging.

Form the given graph,

The year 1950 is between the year 1940 and year 1960. The value at the y axis where the population (in thousand) shown is 45,000 for the year 1950.

The year 1980 is shown in graph at the x axis and the value of the population in the y axis is 30,000.

Thus the population is decreasing from year 1950 to 1980. The difference in the population of the year 1950 and 1980 is,

[tex]d=45000-30000[/tex]

[tex]d=15000[/tex]

Thus the change in the population between 1950 and 1980 is 15,000.

Average rate of change of the population between 1950 and 1980 -

As the population and the year both are changing. The rate of change for the population with respect to the year can be calculating by dividing the difference of the population between two year to the total years between the 1950 to 1980.

There is total 30 year from 1950 to 1980, thus the average rate of change is,

[tex]A(x)=\dfrac{15000}{30} \\ A(x)=500[/tex]

Thus the average rate of change of the population between 1950 and 1980 is 500 per year. It means the population is decreasing with 500 per year.

Learn more about the average rate of change here;

https://brainly.com/question/2530409

Find the solution(s) of the following equation.

Answers

Answer:

The answer of this question is none of the above

Which of the following has zero width and an infinite length? A. a point B. a line segment C. a line D. a plane

Answers

Answer:line

Step-by-step explanation: the section between any two points on a line is called a line segment a line segment can be very long or very short or somewhere in between the difference between a line and a line segment is that a line segment has two endpoints and a line goes on forever


Find the value of x. Round to the nearest tenth.

Answers

Explanation found in the picture linked below

Consider the net of a prism below. Describe the prism that the net models.

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the net of the prism is not shown.

However, I will give a general explanation on how to determine the net of the three popular prisms.

(1) Rectangular prism.

It is made up of 6 rectangles

(2) Triangular prism

It consists of 3 rectangles and 2 triangles

(3) Square prism

It is made up of 6 squares

See attachment for the net of each prism

help would be nice right about now:)))

Answers

Answer:

6x+4=52

    -4   -4

6x=48

/6   /6

x=8

Step-by-step explanation:

i hope this helps :)

An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.

Answers

Answer:

Perimeter = 24 units

Area = 36 square units

Step-by-step explanation:

An archaeologist divides an area using a coordinate plane in which the coordinates are measured in meters. The vertices of a secret chamber are (-4,-1), (2,-1) , (2,5) , and (-4,5) . Find the perimeter and the area of the secret chamber.

We have to find the length of the sides of the rectangle using the formula below

= √(x2 - x1)² + (y2 - y1)² when given vertices (x1, y1) and (x2, y2)

For sides A

(-4,-1), (2,-1)

= √(2 - (-4))² + (-1 -(-1))²

= √(2 + 4)² + (0)²

= √6²

= √36

= 6 units

Side B

(2, -1), (2,5)

= √(2 - 2)² + (5 - (-1))²

= √0² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

For side C

(2,5) , and (-4,5)

= √(2 - (-4))² + (5 - 5)²

= √6² + 0²

= √36

= 6 units

For side d

(-4,-1), (-4,5)

= √(-4 - (-4))² + (5 - (-1))²

= √(-4 +4)² + (5 + 1)²

= √0 + 6²

= √36

= 6 units

From the above calculation, all the sides of the secret chamber are equal to one another

Side a = Side b = Side c = Side d

This means the chamber is has the shape of a square.

The perimeter of the secret chamber =

P = 4a

a = Length of one side = 6 units

P = 4 × 6 units

P = 24 units

The area of the secret chamber

A = a²

a = Length of one side = 6 units

A = ( 6 units)²

P = 36 square units



The triangle and the trapezoid share a 15 inch base and height of 10 inches.


The area of the trapezoid is less than twice the area of the triangle. Find the value of x. Explain your reasoning.





Can the area of the trapezoid be exactly twice the area of the triangle? Explain your reasoning.





Answers

Answer:

15 ; yes

Step-by-step explanation:

Base = 15 inches

Height = 10 inches

Area of triangle = 1/2* base * height

Area of triangle = 0.5 * 15 * 10

Area of triangle = 75 in²

Area of trapezium < 2(75)

Area of trapezium, A

A = 1/2*(x+b)h

x = top base ; b = bottom base ; h = 10

1/2*(x + 15)10 < 150

5x + 75 < 150

5x < 150 - 75

5x < 75

x < 15

Hence, Area of trapezoid :

A = 1/2 * (15 + 15)10

A = 1/2 * (30)10

A = 1/2 * 300

A = 150

Hence, Area of trapezium can be twice the area of triangle.

2(75) = 150

help please!
integrate the following:
[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2a) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

Answers

Answer:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration:

[tex] \displaystyle \int \frac{ \cos(2x) - \cos(2 \alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

notice that you can simplify the integrand

recall that,

[tex] \displaystyle \cos(2 \theta) = 2 \cos(\theta) ^{2} - 1[/tex]

thus substitute:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - \{2\cos ^{2} (\alpha ) - 1 \} }{ \cos(x) - \cos( \alpha ) } dx[/tex]

remove parentheses:

[tex]\displaystyle \int \frac{ 2\cos^{2} (x)- 1 - 2\cos ^{2} (\alpha ) + 1}{ \cos(x) - \cos( \alpha ) } dx[/tex]

[tex]\displaystyle \int \frac{ 2\cos^{2} (x) - 2\cos ^{2} (\alpha ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

factor out 2:

[tex]\displaystyle \int \frac{ 2(\cos^{2} (x) - \cos ^{2} (\alpha )) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

we can use algebraic identity i.e

a²-b²=(a+b)(a-b) to factor the denominator

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cos(x) - \cos( \alpha ) ) }{ \cos(x) - \cos( \alpha ) } dx[/tex]

reduce fraction:

[tex]\displaystyle \int \frac{ 2(\cos^{} (x) + \cos ^{} (\alpha ))( \cancel{\cos(x) - \cos( \alpha ) ) }}{ \cancel{\cos(x) - \cos( \alpha ) }} dx[/tex]

[tex] \displaystyle \int 2( \cos(x) + \cos( \alpha ) )dx[/tex]

distribute:

[tex] \displaystyle \int 2 \cos(x) + 2\cos( \alpha ) dx[/tex]

use sum integration formula:

[tex] \rm \displaystyle \int 2 \cos(x) dx+ \int2\cos( \alpha ) dx[/tex]

recall integration rules:

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) [/tex]

and we of course have to add constant of integration

[tex] \displaystyle 2 \sin(x) + 2x \cos( \alpha ) + \rm C[/tex]

9multiply root 3 by 3 root 5 ​

Answers

Answer:

[tex] \frac{9 \sqrt{3} }{3 \sqrt{5} } \\ = \frac{3 \sqrt{3} }{ \sqrt{5} } [/tex]

Hope it helps!

please helppppppppppp

Answers

Answer:

RQ = 5 cm

ST = 8 cm

Rami designed a small pond for a restaurant. The diagram below shows the measurements of the pond. How many cubic feet of water are needed to fill the pond?

Answers

Answer:

426

Step-by-step explanation:

T.J. invests $8,100 in an account
that earns 7.2% compound interest.
If T.J. does not make any additional
deposits or withdrawals, how much
interest will he earn after 7 years?

Answers

Answer:

I don't know

Step-by-step explanation:

if don't know

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