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

Ty has 230 pages of text to read in the next three days. If he averages 25 pages every 1 1/4 hours, how many hours will he be spending reading?

Answers

Answer:

11.5 hrs

Step-by-step explanation:

Divide 230 by 25. Then multiply your quotient by 1.25 which is 1 1/4 to get the number of hours. 230 divided by 25 is 9.2. 9.2 times 1.25 is 11.5

Hope This Helps!

19. Please help!!! Reporting all fake answers!:-(

Answers

my answer is (a) I think

Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis

Answers

The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]

Where:

a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).

f(x) is the height of the shell at the given x-value.

2πx is the circumference of the shell at the given x-value.

In this case, we need to express y = x³/4 in terms of x to find the function f(x).

Given: y = x³/4

To find the function in terms of x, solve for x:

[tex]x = (4y)^{(1/3)[/tex]

Now, the function f(x) becomes:

[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]

Now, let's calculate the volume using the cylindrical shell method:

[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]

[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]

To integrate, add 1 to the exponent and divide by the new exponent:

[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]

Now, evaluate the expression at the limits of integration:

[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]

[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]

[tex]\mathrm V = 6\pi/7[/tex]

So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

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alex took a cab in new york city . the cabdriver charged $3.00 to ride in his cab and $1.50 per mile that he rode in the cab . if he spend $12 , how many did he ride in the cab ?

Answers

Answer

8 miles

Step-by-step explanation:

12 divided by 1.50 = 8

please help!!(GIVING BRAINILEST) Which number line shows the solution of -3x+6>12?

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

−3x + 6 > 12

Move all terms not containing x to the right side of the inequality.

Subtract 6 from both sides of the inequality.

−3x > 12 − 6

Subtract 6 from 12.

−3x > 6

Divide each term by −3 and simplify.

Divide each term in −3x > 6 by −3. When multiplying or dividing both sides of an i nequality by a negative value, flip the direction of the inequality sign.

(-3x/-3)<(6 /-3)

Cancel the common factor of −3.

Divide 6 by −3.

x < −2

( − ∞ , − 2 )

What is the slope that passes through (-9,-8) and (-15,-16)

Answers

Answer:

Slope = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

(-9, -8)  & (-15 , -16)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-16-[-8]}{-15-[-9]}\\\\= \frac{-16+8}{-15+9}\\\\= \frac{-8}{-6}\\\\= \frac{4}{3}[/tex]

please help me, i don’t know how to do this:)

Answers

x=12, y=[tex]6\sqrt{2}[/tex]

This triangle is a special right triangle, a 45-45-90 triangle. In this format, the the hypotenuse will be [tex]x\sqrt{2}[/tex], while the side lengths would be x. With this in mind we can already figure out y is [tex]6\sqrt{2}[/tex]. The hypotenuse would be [tex](6\sqrt{2} )(\sqrt{2} )=12[/tex]

How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?

Answers

Answer:

It depends how much they get paid which is 20 dollors

Step-by-step explanation:

SO THE ANSWER IS 20

please help im desperate.

Answers

Step-by-step explanation:

To find x,equate EF to BC

2y+x=14( from here,it's impossible to calculate the values yet)

Find the value of ‹ACB

180°-(99+45)=36°

Now equate ‹DFE to 36° to find y

8y-5=36

8y=36+5

8y=41

y=5.125

Plug in the value of y to find x

2y+x=14

x=14-2y

x=14-2(5.125)

x=3.75

9514 1404 393

Answer:

  x = -12

  y = 13

  FE = 14

  m∠E = 36°

  AB ≅ DF, BC ≅ FE, AC ≅ DE

  ∠D ≅ ∠A, ∠E ≅ ∠C, ∠F ≅ ∠B

Step-by-step explanation:

The expression involving y is that of an angle measure. In order to find y, we need to know the angle. So, it makes sense to start by identifying corresponding angles and their measures.

The congruence statement ΔABC ≅ ΔDFE means that ...

  ∠A ≅ ∠D . . . 45°

  ∠B ≅ ∠F . . . 99°

  ∠C ≅ ∠E . . . 180° -99° -45° = 36°

It also means ...

  AB ≅ DF . . . 10

  BC ≅ FE . . . 14

  AC ≅ DE . . . unmarked (and unknown*)

__

Using the measure of angle F we can solve for y:

  (8y -5)° = 99°

  8y = 104 . . . . . . divide by ° and add 5

  y = 13 . . . . . . . . divide by 8

Using the length of side FE, we can solve for x:

  2y +x = 14

  2·13 +x = 14 . . . . substitute for y

  x = 14 -26 . . . . . .subtract 26

  x = -12

_____

* The length of the unmarked side is unknown because its measure will depend on how you compute it. The given angles and side lengths are inconsistent, so the figure shown cannot exist. If angle measures are taken as accurate, the side measures are not, and vice versa.

Ok so I’m getting braces in a week and I’m pretty scared about it. But however, does it hurt when they put them in?

Answers

Answer:

Ok so I've had braces and it doesn't really hurt getting put in but it does hurt when they tighten them but you have nothing to worry about :)

Step-by-step explanation:

Answer:

They don't hurt when they put them in however you will feel mild soreness and discomfort as your mouth adjusts to them as with anything, for example, fillings, they feel gritty and uncomfortable at first but your mouth adjusts to it.

" There will be mild soreness or discomfort after the orthodontic wire is engaged into the newly placed brackets, which may last for a few days to a week."

I know its can be scary at first but its for the health of your teeth and not everyone gets that privilege, just make sure to take care of them properly.

Step-by-step explanation:

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

Answers

Answer:

5/12

Step-by-step explanation:

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

The above question is solved below.

The Fractional part of the quiz he got correctly is

5/9 of 3/4 of his timed maths test

= 5/9 × 3/4

= 5/12

He got 5/12 of his quiz correctly.


A student solves a quadratic and gets solutions of x=-7 and x=8. Could the discriminant of this equation equal -188?

Answers

Answer:

7

Step-by-step explanation:

In an aquarium, there are 3 red, 6 yellow, 4 white and 2 black fish. Find the ratio of the: a) Number of yellow fish to the number of white fish. b) Number of black fish to the total number of fish. c) Number of red fish to the number of black fish.

Answers

Answer:

a. 3 : 2

b. 2 : 15

c. 3 : 2

Step-by-step explanation:

Red fish = 3

Yellow fish = 6

White fish = 4

Black fish = 2

Total number of fishes = 15

a) Ratio of the Number of yellow fish to the number of white fish.

Yellow fish : White fish

6 : 4

= 6 /4

= 3/2

= 3 : 2

Ratio of the Number of yellow fish to the number of white fish = 3 : 2

b) Ratio of the Number of black fish to the total number of fish

Black fish : Total fish

2 : 15

= 2 / 15

= 2 : 15

Ratio of the Number of black fish to the total number of fish = 2 : 15

c) Ratio of the Number of red fish to the number of black fish

Red fish : black fish

= 3 : 2

= 3/2

= 3 : 2

Ratio of the Number of red fish to the number of black fish = 3 : 2

Answer all the questions for a bunch of points, no scam answers please

Answers

Answer:

what questions i dont see any

Step-by-step explanation:

5 divided by 9/10 :))

Answers

5.55555

Hope this helps

Santa's sleigh is powered by units of Christmas spirit. If 9/10 people show Christmas spirit Santa's sleigh will deliver all packages. If there are 13,000,000 people in Pennsylvania, how many people would have to show Christmas spirit for packages to be delivered in PA? Make sure to put commas in your answer and use a calculator if you need to. * 2 points

Answers

Answer: 11,700,000

Step-by-step explanation:

Number of people in Pennsylvania =13,000,000

Fraction of people that will show Christmas spirit for Santa's sleigh to deliver all packages = 9/10

The number of people that would have to show Christmas spirit for packages to be delivered in PA will be:

= 9/10 × 13,000,000

= 11,700,000

this is extra credit . solve for X

Answers

Answer:

x = - 15

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

35 - 5 - 8x - 2x = 180 ( simplify left side )

30 - 10x = 180 ( subtract 30 from both sides )

- 10x = 150 ( divide both sides by - 10 )

x = - 15

what is 62 1/2% as a decimal?

Answers

Answer:

62.50 or 0.625

Step-by-step explanation:

The decimal form of  [tex]62\frac{1}{2}[/tex] percent is 0.625.

The given percentage is [tex]62\frac{1}{2}[/tex] %

This fraction is in a mixed fraction.

Convert it into an improper fraction

So,

[tex]62\frac{1}{2}[/tex] %  = (62x2 + 1)/2

           = (124+1)/2

           = 125/2 %

Now divide 125 by 2 to get the decimal form

2) 125 ( 62.5

-  12

 _____

     x 5

  -     4

______________

          1  0

 -        1   0

 _________

            x

Therefore,

 [tex]62\frac{1}{2}[/tex] %  =  62.5 %

We can write,

62.5 % = 62.5/100

           = 0.625

Hence the required decimal form is 0.625.

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A sweater originally marked $80.00 went on sale for $45. What was the percent of change?

Answers

Answer:

43.75%

Step-by-step explanation:

80-45=$35 off

35 is 43.75% of 80

A student earned a grade of 70% on a math test that had 20 problems. How many problems on this test did the student answer correctly?

Answers

9514 1404 393

Answer:

  14

Step-by-step explanation:

Assuming the grade is proportional to the number of problems answered, we have ...

  a/20 = 70/100

  a = 20(0.70) = 14 . . . . multiply by 20

The student answered 14 problems correctly.

The Grinch said he asked for three-quarters not five-eighths for the size of wrench. What is the size of the wrench he needed written as a percent?

Answers

Answer:

3/4 as a percent is 3 divided by 4 which is 75%

I don't think you need it, but 5/8 as a percent is 62.5%

Step-by-step explanation:

If 8y+12=36 find the value of 2y

Answers

Answer:

6

Step-by-step explanation:

If 8y+12=36, subtract 36-12=24

Divide 24 by 8 and get three. 2y with y = 3 is 6

Answer:

y=4 2(4)=8

Step-by-step explanation:

UREGENT‼️‼️
5. Could the following triangles lie on the same
graphed line? Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Because they are right triagnles

Answer: No, the triangles do not lie on the same graphed line

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

Explanation:

Your teacher is asking if the hypotenuse segments are parallel, that way one line can slide over to the other to be directly on top of it.

Recall that parallel lines have the same slope, and slope is rise over run.

rise = change in vertical distance = change in y

run = change in horizontal distance = change in x

Let's find the slope of the hypotenuse of the triangle on the left

slope = rise/run = 15/2 = 7.5

Let's do the same for the other triangle as well

slope = rise/run = 51/6 = 8.5

The slopes are different, so we don't have a perfect match. The hypotenuse segments do not lie on the same line.

Which equation describes the line with a slope of 2/5 and a y-intercept of 4.

Answers

Answer:

the equation is y=2/5x+4

Step-by-step explanation:

hope this helped :) have a good day!!

If Lewis can make 2 pies wi the 6 apples, how many pies can he make with 15 apples

Answers

Answer:

5 pies.

Step-by-step explanation:

2 pieces=6 half of 6=3

1 pie= 3 apples

6+6=12 can make 4 pies with 12 apples. so, it will be 5 pies.

Adele took a total of 12 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter, how many quizzes will Adele have taken in total? Assume the relationship is directly proportional.

?quizzes

Answers

Answer:

30 quizzes

Step-by-step explanation:

12 quizzes in 2 weeks means that there were 6 per week and 6 (quizzes per week) times 5 (number of weeks) would be 30.

Hope this helped!!

Answer:

30, or 42

Step-by-step explanation:

If they took 12 quizzes over the course of 2 weeks, then we can assume that they take 6 quizzes each week (12/2 = 6).

Over the course of 5 weeks, they'll have taken 30 quizzes if the above is true. However, the 'or' is there because I don't know if they're including the past 12 or not. If they are including the 12 quizzes taken over 2 weeks, then the answer is 42. If they are only referring to the 5 weeks of school, then the answer is 30.

As delivery truck drove an average of 42 mph it took two hours and 15 minutes to travel between two towns what is the distance between the two towns

Answers

Answer:

The distance is 10.5 miles

Step-by-step explanation:

Mathematically; we want to calculate the distance between the two towns in the question

Distance = speed * time

15 minutes to hours is 15/60 = 1/4 hours

So the distance would be;

Distance = 42 mph * 1/4 = 10.5 miles

Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?​

Answers

Answer:

8porque9x8da72

Step-by-step explanation:

     a

Answer:

Step-by-step explanation:

To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars

What is the first step in solving this expression? 28 - 11 + 6 ● 3 + 5

Thanks,

Answers

Answer:

First Step of solving this expression: Multiply

Answer for the expression: 40

Step-by-step explanation:

To find the first step you need to follow the order of operation

Parenthesis

Exponents

Multiplication and Division

Addition and Subtraction

Since there are not Parenthesis or Exponents then you may skip that step but there is a multiplication sign so the first step is Multiplication

To solve multiply 6 and 3

Which is 18

Now the expression looks like this:

28-11+18+5

Now simplify from left to right:

28-11=17

17+18=35

35+5=40

Hope this helps!

Answer: Multiply 6*3, then add 18+5, then subtract 28-11, then add them:

17 + 23 = 40!

Step-by-step explanation: PEMDAS:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

I really need help on this

Answers

Since the triangles are similar, a proportion can be made.
12 = 3 * ? and 20 = ? * ?
We know that 3 * 4 = 12, so the proportion must be by 4.
Replace 4 into one of the question marks in 20 = ? * ?.
20 = 4 * ?
We know that 4 * 5 = 20, so x must equal 5.
Your answer is 5.
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