At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?

Answers

Answer 1

Answer:

10$ for an adult and 7$ for a child

Step-by-step explanation:

price for an adult = a

price for a child = b

2a + 4b = 48.............(i)

5a + 2b = 64.............(ii)

make a subject of the formula in equation (i)

2a = 48 - 4b

divide through by 2

a = 24 - 2b

Insert the value of a in equation (ii)

5(24 - 2b) + 2b = 64

120  - 10b + 2b = 64

collect like terms

- 8b = 64 - 120

-8b = -56

divide both sides by -8

b = 7

insert the value of b in equation(i)

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

divide both sides by 2

a = 10

The price for one adult is $10 while the price for one child is $7

credit goes to vintechnology

hope that helped :)


Related Questions

Emma earns $2 less than three times as much as Rachel. Nick earns twice as much as Emma. Together they earn $594 per week. How much does each person earn per week? ​

Answers

Answer:

290$

Step-by-step explanation:

Answer:

Mei earn $2 less than three times as much as Olivia. Shane earns twice as much as mei. Together they earn $594 per week. How much does each person earn per week?

***

Step-by-step explanation:

let x=amt Olivia earns

3x-2=amt Mei earns ($2 less than three times as much as Olivia).

2(3x-2)=amt Shane earns (twice as much as mei)

..

x+3x-2+2(3x-2)=594

x+3x-2+6x-4=594

10x=600

x=60

3x-2=178

2(3x-2)=356

amt Olivia earns=$60

amt Mei earns=$178

amt Shane earns=$356

will make brainleist find the value of ar in the figure below if re is parallel to bc show your work

Answers

The value of the variable x is 5. Then the value of length AR will be 2.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABC is given.

There is a line segment RE which is parallel to the BC.

Then the triangle ΔABC and triangle ΔARE will be the similar triangles.

Then the ratio of the corresponding side will be constant.

(x – 3) / (x – 1) = 5 / 10

         2(x – 3) = x – 1

           2x – 6 = x – 1

                    x = 5

Then the value of AR will be

AR = x – 3

AR = 5 – 3

AR = 2

More about the triangle link is given below.

https://brainly.com/question/25813512

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27/22 as a decimal rounded to the nearest hundredth

Answers

Answer:

1.23

Step-by-step explanation:

27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)

please help me out ​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: A

Step-by-step explanation:

12 and 16

-4-3(1-x)<7-2(x+2)
Its just this :)

Answers

Answer: the answer is x=12 and x=4

Jen and Kamlee are walking to school. After 20 minutes, Jen has walked 45 mile. After 25 minutes, Kamlee has walked 56 mile. Find their speeds in miles per hour. Enter the correct answers in the boxes.

Answers

Answer:

Jen's speed = 135 miles per hour (Approx)

Kamlee's speed = 134 miles per hour (Approx)

Step-by-step explanation:

Given:

Jen walk = 45 miles

Jen's time = 20 min = 20/60 = 0.333 hour

Kamlee walk = 56 miles

Kamlee's time = 25 min = 25/60 = 0.416667 hour

Find:

Speed

Computation:

Jen's speed = 45 / 0.333

Jen's speed = 135 miles per hour (Approx)

Kamlee's speed = 56 / 0.416667

Kamlee's speed = 134 miles per hour (Approx)

(Need help ASAP)
How many solutions does the equation have:
3x - 5 = -5 + 3x

Answers

Answer:

Infinitely many

Step-by-step explanation:

Add 5 to both sides and subtract 3x on both sides. that results in 0=0. if the numbers are the same, than its infinitely many.

Answer:

0=0

Step-by-step explanation:

3x-5=-5+3x

0=0

select each expression that is equivalent to 5(n + 4).
A. 5n + 4
B. 5n + 20
C. 15 + 5n + 5
D. 5(n + 3) + 5
E. 5n + 54

Answers

Answer:

B and C and D

Step-by-step explanation:

Answer:

The Answer is B. C. and D.

Step-by-step explanation:

write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)

Answers

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope y is the intercept

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]

Last year, Ivy's pant measured 12 inches. This year, her plant is 75% taller.

How many inches did her plant grow?

Answers

Answer:

The plant grew 9 more inches since last year.

Step-by-step explanation:

75% of 12 is 9 and the initial plant growth was 12 inches.

So, the plant grew 9 more inches since last year.

The plant is now 21 inches.

Answer:

9

Step-by-step explanation:

Divide 12 by 4 to get 25% = 3

25% x 3 = 75%

3 x 3 = 9

Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)

Answers

Answer:

I believe it’s g(k)=(-k- 3)(-k+3)

Step-by-step explanation:

The equivalent function is g(k) = -(k - 3)².

The correct option is A.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:

g(k) = -(k² - 6k + 9 ) = -(k - 3)²

Option A can be simplified as:

g(k) = -(k - 3)²

Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).

Therefore, the answer is A. g(k) = -(k - 3)²

To learn more about the quadratic function;

https://brainly.com/question/11485644

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The complete question:

Which function is equivalent to g (k) = -k²+ 6k-9?

A. g(k) = -(k- 3)²

B. g(k) = (-k+ 3)(k+ 3)

C. g(k) = -(k+3)²

D. g(k) = (-k- 3)(–k+ 3)

Please answer the question below

Answers

Answer:

50 i think

Step-by-step explanation:

Hayley is considering two gym membership plans. The plans are detailed here.

Plan 1: $50 for a monthly pass and a $3 fee for each gym visit

Plan 2: $10 for each gym visit

What is a system of equations that represents the costs of the plans?

Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.

Answers

1: y = 3x + 50
2: y = 10x

Desmond has already jarred 4 liters of jam and will jar an additional 3 liters of jam every day. Write an equation that shows the relationship between the days d and the jam made j. Write your answer as an equation with j first, followed by an equals sign.​

Answers

Answer:    j = 3d + 4

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

Explanation:

Referring to the answer above, the "+4" at the end represents the amount Desmond already has. He started off with 4 liters.

The 3d represents the 3 liters he gets per day, where d is the number of days.

So we combine the two elements getting 3d+4 representing the number of liters at any given day. That's why the answer is j = 3d+4

If we plug in d = 0, then j = 3d+4 = 3*0+4 = 4 liters is what he starts with.

If we plug in d = 1, then j = 3d+4 = 3*1+4 = 7 liters is what he has the following day. This shows Desmond gained 3 more liters.

If you plug in d = 2, you'll find that 3d+4 becomes 10, showing yet another 3 liters is added on. This process can go on for as long as you want.




PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

A and C

Step-by-step explanation:

m+5n(9−p)−6−rsquar(2.718282)d

Distribute:

=m+(5n)(9)+(5n)(−p)+−6+−2.718282adqr2su

=m+45n+−5np+−6+−2.718282adqr2su

Answer:

=−2.718282adqr2su−5np+m+45n−6

Find the slope of the line. Write your answers in simplest form

Answers

Answer:

-3/5

Step-by-step explanation:

using the picture and the rise over run method, you can see that from the coordinate farthest to the right, you move 3 spaces up (positive), and 5 spaces to the left (negative), which gives you your answer of -3/5.

You can also use the formula to find the slope:

1) y₂-y₁/x₂-x₁

2) -2-1/1-(-4)

3) -3/5

Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1

Answers

Parallel = same slope
Y = 4x + b
Plug in the point
1 = 4(-3) + b
1 = -12 + b, b = 13
Solution: y = 4x + 13

Five less than 3 times a number is 25. What is the number?

Answers

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

[tex]3x - 5 = 25[/tex]

[tex]3x = 30[/tex]

[tex]x = 10[/tex]

Answer:

10?

Step-by-step explanation:

I think this is the right answer

I hoped this helped :)

If asked to multiply 18 by 100 quicky, what is the short cut?​

Answers

Answer: 18 x 100 = 1,800

Step-by-step explanation:

You take the 100 and you remove the 2 zeros and put them at the back of 18 to get your answer.

28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.

Answers

Answer:

[tex]\frac{5}{6}[/tex] cups

Step-by-step explanation:

Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.

1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt

[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt

2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt

[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt

CAN SOMEONE HELP- I'LL GIVE BRAINLIEST! I need all the questions pls.

Answers

Answer:

h

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) x is 2 and y is 6

2) x is 10 and y is 30

3) x is 10 and y is 30

 

Jennifer had 3 \frac{3}{4}
4
3

lbs of tomatoes. She used \frac{1}{3}
3
1

OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)

Answers

Answer:

She used 1/4 of a pounds for salad

Step-by-step explanation:

Here, we want to calculate the amount of pounds of tomatoes used to make salad

From the question, she has 3/4 pounds and used 1/3 of what she has to make salad

What she used will be;

3/4 * 1/3 = 1/4

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

b

Step-by-step explanation:

Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game. Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?

Answers

Answer:

X+14=y

Step-by-step explanation:

I need help with this​

Answers

Answer: 0.6 grams

Step-by-step explanation: divide grams by cm and its 0.6

what is 32z-48 factored with gcf

Answers

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

I’ll name brainliest✨

Answers

Answer: -5 1/2 or -5.5

Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2

Answer:

Point B is located at -5.5

Step-by-step explanation:

Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5

I hope this helped to answer your question.  

Which of the following is NOT a rational number?
-4/7
3/5
(the symbol for pie)
2/3

Answers

Answer: (the symbol of pi)

Step-by-step explanation: Because if you divide each of those fractions only pi keeps in going without repeating itself.

Can I actually get help and not people saying random stuff just for points????

Answers

Do you still need it?

PLEASE ANSWER ASAP!!!!!!!!!
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce.
f(n) = 9(0.7)n

What does the number 9 in the function represent?

A) Number of times the ball was dropped.

B) Height from which the ball was dropped.

C) Height to which the ball will bounce at the nth bounce.

D) Number of times the ball bounces at the nth bounce.

Answers

Answer:

c

Step-by-step explanation:

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