Karen sells tickets at a movie theater. Last night she sold 128 tickets for a total of $1108. Adult's tickets cost $10 and children's tickets cost $6. How many of each kind of ticket did Karen sell?

Answers

Answer 1

Answer:

Adult's tickets 85

children's tickets 43

Step-by-step explanation:

x + y = 128

10x + 6y = 1108

x = 128 - y

10(128 - y) + 6y = 1108

1280 - 10y + 6y = 1108

1280 - 4y = 1108

-4y = 1108 - 1280

-4y = -172

y = -172/-4

y = 43

x = 128 - y

x = 128 - 43

x = 85


Related Questions

Which of these represent a whole number? Select all that apply. (There should only be two answers) A. 4 b. 3.2 C. 4/7 D. 8/4

Answers

Answer:

A and D.

Step-by-step explanation:

4 is an integer which is a whole number.

3.2 is a decimal, so it is not a whole number.

4/7 is a fraction that cannot be simplified.

8/4 is a fraction that can be simplified to give 2, a whole number.

The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (a) how many progressions are possible (b) what are the smallest and largest possble values of the first term?

Answers

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

Sum of terms:

Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)2020 = 10(2a₁ + 19d)202 = 2a₁ + 19d

In order a₁ to be an integer, d must be even number, so d = 2k

202 = 2a₁ + 38k101 = a₁ + 19k

Possible values of k= 1,2,3,4,5

k = 1 ⇒ a₁ = 101 - 19 = 82k = 2 ⇒ a₁ = 101 - 38 = 63k = 3 ⇒ a₁ = 101 - 57 = 44k = 4 ⇒ a₁ = 101 - 76 = 25k = 5 ⇒ a₁ = 101 - 95 = 16

As per above,

a) possible progressions are 5b) the smallest and largest possible values of the first term are 16 and 82

Answer:

:) not right

Step-by-step explanation:

Help me find the slope using the points on the graph below.

Answers

Answer:

3/-4 i think

Step-by-step explanation:

one point is -2/1 and the other 2/-2

1 - -2=3

-2 -2=-4

Order of operations
(6+5) +9 =​

Answers

Answer:

(6+5)+9=20

Step-by-step explanation:

Samantha Ice creamy sold 67 sundaes with nuts and 15 sundaes without nuts what is the ratio of the number of sundaes without nuts to the total number of sundaes

Answers

Answer:

its 15 to 82

Step-by-step explanation:

add 67 and 15 to get 77 add 5

Answer:

15:82

Step-by-step explanation:

15:(67+15)  [Because ratio of the number of sundaes without nuts to the total number of sundaes]

=>15:82

Given f(x) =
+ 2, find f(0)

Answers

Answer:

B

Step-by-step explanation:

toookt the test dude

7 = 3t - 3 - 2+ + 6.

Justification: ? property​

Answers

Answer:

7 = 3t + 1

t = 6

....................

7 = 3t - 2t + 3

t = 4

What are the perimeter and the area of the square?
80
200
400
8√5
16√5
32√5​

Answers

Answer:

680

8√5=17.8

16√5=75.7

32√5​=71.5

Step-by-step explanation:

En un colegio hay 627 alumnos y sabemos que hay el doble de chicas que de chicos. De las chicas, a todas menos a 15, les gustan mucho las matemáticas. ¿Cuántas chicas disfrutan con las matemáticas en este colegio?

Answers

Answer:

Hay 403 chicas que disfrutan las matemáticas en este colegio.

Step-by-step explanation:

Podemos obtener las siguientes pistas tras una lectura cuidadosa del enunciado:

1) Existen 627 alumnos entre hombres y mujeres en el colegio.

2) La cantidad de chicas es el duplo de la cantidad de chicos.

3) Solo a 15 chicas les disgusta las matemáticas.

Matemáticamente hablando, podemos construir las siguientes tres fórmulas:

[tex]x+y = 627[/tex] (1)

[tex]y = 2\cdot x[/tex] (2)

[tex]m = y - 15[/tex] (3)

Donde:

[tex]x[/tex] - Cantidad de chicos en el colegio, adimensional.

[tex]y[/tex] - Cantidad de chicas en el colegio, adimensional.

[tex]m[/tex] - Cantidad de chicas que disfrutan de las matemáticas en el colegio, adimensional.

Al eliminarse [tex]y[/tex] en (1), se puede hallar la cantidad de chicos en el colegio:

[tex]x + 2\cdot x = 627[/tex]

[tex]3\cdot x = 627[/tex]

[tex]x = 209[/tex]

Hay 209 chicos en el colegio.

Por (2) podemos determinar la cantidad de chicas:

[tex]y = 2\cdot (209)[/tex]

[tex]y = 418[/tex]

Hay 418 chicas en el colegio.

Finalmente, se calcula la cantidad de chicas del colegio que disfrutan las matemáticas por (3):

[tex]m = 418-15[/tex]

[tex]m = 403[/tex]

Hay 403 chicas que disfrutan las matemáticas en este colegio.

A red marble is selected at random from a bag containing 2 blues and 9 red marbles and is not replaced.the probability that a second marble selected will also be red is

Answers

Answer:

 So the probability of drawing a second red marble is 8 out 10 or 0.8.

Step-by-step explanation:

It seems to me that if one red marble is already gone, there are 8 red marbles left out of a total of 10 marbles.

So the probability of drawing a second red marble is 8 out 10 or 0.8.

Answer:

8/10 or 4/5 or 0.8

Step-by-step explanation:

since one red marble is already taken, there are only eight remaining now and the total number of marbles are ten now. So you have to divide.

Therefore, the probability is 8/10 or 4/5 or 0.8.

Map of Indiana is being made to a scale of 1/2 in:20 mi. Indianapolis is 120 miles from Fort Wayne how far apart from each other will they appear on this map

Answers

So if Indianapolis is 120 miles from Fort Wayne and a 1/2 inch on the map is equal to 20 miles, then you need to take 120 and divide it by 20 which is 6.

Your answer would be 6 inches.

Find AB given A(-4, 1) and B(3, -1).

Answers

Point AB is located at (-1.5,0)

Answer:

d = [tex]\sqrt{53}[/tex]

Step-by-step explanation:    

I’ll give brainliest pls help me:0

Answers

Answer:

68719476736

Step-by-step explanation:

(4−2)−9

=(4−2)−9

=4(−2)(−9)

=418

=68719476736

Answer:

This is pretty simple, im almost certain you just make all exponents positive.

Step-by-step explanation:

so just make it 4 to the power of 2, to the power of 9

The ratio teachers to students at a school is 3: 74. There are 2500 students at the school. About how many teachers are at the school?

Answers

Step-by-step explanation:

3:74

x:2500

(3x2500)/74

=101

Answer:

100

Step-by-step explanation:

F(x)=(x-2)2
X=8





Need answers ASAP

Answers

Answer:

substitute 8 into x =(8-2)2

(6)2=12

It's a Yes or No question

Answers

Answer:

its a yes i think

Step-by-step explanation:

the value is probably

What is the area of the rectangle below?
10
13

Answers

Answer:

C, 130

Step-by-step explanation:

Area is just length x width, it would just be 13*10

Answer:

C) 130 sq. units

Step-by-step explanation:

it's what I got

Solve for X in the following proportion: 6/33 = 24/x

Answers

Answer:

132

Step-by-step explanation:

We are given the equation 6/33 = 24/x. We would like to solve for x.

To get rid of the fractions, let's multiply both sides by 33x:

(6/33) * 33x = (24/x) * 33x

6x = 24 * 33 = 792

Divide by 6 from both sides:

x = 792/6 = 132

Thus, x = 132.

~ an aesthetics lover

How can you find the product of four polynomials

Answers

.Answer: When we find the product of any two polynomials, we just multiply each term of the first polynomial by each term of the second polynomial then simplify. When we find the product of two binomials, we can use a technique known as the FOIL method. FOIL is an acronym which stands for First, Outside, Inside and Last.

Step-by-step explanation:

the area of a circle is 32 pi square units find its perimeter

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]

Step-by-step explanation:

Area of a circle ( A ) = 32 π units

Radius of a circle ( r ) = ?

Perimeter of a circle ( P ) = ?

First ,finding the radius of a circle :

[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]

[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]

[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]

[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]

Finding the perimeter of a circle ( P )

[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]

[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]

[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]

Hope I helped!

Best regards! :D

The perimeter of the circle with an area of 32 π square units is 2√32π units.

Given,

The area of a circle is 32 π square units.

We need to find its perimeter.

What is the area of a circle?

The area of a circle is given by:

= π r²

The perimeter of a circle is given by:

= 2πr

Where r = radius

Find the area of a circle.

Area = π r²

32 π  = π r²

Divide both sides by π

32 = r²

r = ±√32

r can not be negative so we have,

r = √32

Find the perimeter of a circle.

P = 2πr

P = 2 x π x √32

P = 2√32 π units

The perimeter of the circle with an area of 32 π square units is 2√32π units.

Learn more about how to find the circumference of the circle and the area of the circle here:

https://brainly.com/question/14966973

#SPJ2

There is a triangular parking lot at the local mall. The second angle of the triangular parking lot is six more than twice as large as the first angle. The third angle is equal to the sum of the other two angles. What are the measures of the three angles?

Answers

Answer:

The measure of the three angles are;

The first angle is 62°

The second angle is 28°

The third angle is 90°

Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B  therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices”?
A. Figure A
B. Figure B

Answers

Answer:

Figure A i don't know

Step-by-step explanation:

Answer:

the answer is A. Figure A

STUGO sells hot chocolate and coffee at the high school football games.
At the last game, they had sales of $200. They need to keep track of how
many of each type of drink was sold so that they can make predictions for
future sales. Mrs. Mendoza knows that they used 275 cups that night. If
the hot chocolate sells for 75 cents and coffee sells for 50 cents, how
much of each type of drink were sold?

Answers

Answer:

Number of hot chocolate = 250

Number of coffee = 25

Step-by-step explanation:

Given:

Total income = $200 = 20,000 cents

Number of total item sell = 275

Amount of each hot chocolate = 75 cents

Amount of each coffee = 50 cents

Find:

Number of each drink sold

Computation:

Assume

Number of hot chocolate = x

Number of coffee = 275 - x

So,

Total income = [Number of hot chocolate][Amount of each hot chocolate] + [Number of coffee][Amount of each coffee]

20,000 = [x][75] + [275-x][50]

20,000 = 75x + 13,750 - 50x

x = 250

Number of hot chocolate = 250

Number of coffee = 275 - 250

Number of coffee = 25

Answer: 250 Hot chocolates 25 Coffee

Step-by-step explanation:

Question 3

A sequence of numbers follows the rule: multiply the previous number by-2 and add 3. The fourth term in the sequence is -7.

a. What are the next 3 terms in the sequence? Select Choice

b. What are the 3 terms that came before-7 in the sequence? Select Choice v

Answers

Answer:

(a) The next 3 terms in the sequence are 17, -31, and 65

(b) The 3 terms that came before -7 are 2, -1, and 5

Step-by-step explanation:

a. To determine the next 3 terms in the sequence after -7,

From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.

Then, for the next number after -7, we will get

-7 × -2 = 14; 14 + 3 = 17

For the second number after -7, we will get

17 × -2 = -34; -34 + 3 = -31

For the third number after -7, we will get

-31 × -2 = 62; 62 + 3 = 65

Hence, the next 3 terms are 17, -31, and 65

(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2

Hence, the previous number to -7 (that is, the third term in the sequence)

-7 -3 = -10; -10 ÷ -2 = 5

Then, the second term will be

5 - 3 = 2; 2 ÷ -2 = -1

and the first term will be

-1 -3 = -4; -4 ÷ -2 = 2

Hence, the 3 terms that came before -7 are 2, -1, and 5

If f(x)=3x^2+10, what is f(-7)?

Answers

Answer:

157

Step-by-step explanation:

The radius of a circle is 4 inches. What is the circle's area?
p=4 in
Use 3.14 for T.

Answers

Answer:

50.27

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

[tex]r = 4 \\ \pi = 3.14 \\ area = \pi {r}^{2} [/tex]

Input the values into the equation

[tex]3.14 \times {4}^{2} \\ = 3.14 \times 16 \\ = 50.24[/tex]

how to factorise the difference of perfect squares. for the g on the top and j on the top

Answers

Answer:

see explanation

Step-by-step explanation:

A difference of two squares is factored as

a² - b² = (a - b)(a + b)

(g)

1 - 81y²

= 1² - (9y)²

= (1 - 9y)(1 + 9y)

(j)

64x² - 25y²

= (8x)² - (5y)²

= (8x - 5y)(8x + 5y)

please help, ASAP!!​

Answers

Answer:

The answer should be  x ≤ 5

Together, Chelsea and Essence have $192. If Chelsea has a third of the amount of money that Essence has, find out how much money each person has individually.


Answers

Answer:

Chelsea has $48, Essence has $144

Step-by-step explanation:

Chelsea ; $48
Essence 144

what would be an example of a plane

Answers

Answer:

A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.

Step-by-step explanation:

[tex]\bf Step-by-step~explanation:[/tex]

Remember: In math, a plane is a flat, two-dimensional surface that stretches infinitely far in all directions.

An example of a plane would be the photo below.

The purple rectangle is one plane, and the brown one is another one. If there are points there, then they would be on both planes if the points lie exactly on the intersection between the two planes.

We label planes when they have a letter (K, M, etc.), or if there are three non - collinear points on one plane, we take those letters and make them into the plane's name. (ex: Plane AGE, QDE, etc.)

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