tickets at a particular movie theater have different rates for adults and children. On tuesday the theater sold 8 adult tickets and 9 tickets for 174. the next day the theater sold 5 adult tickets and 7 children tickets for 117. What is the price for the adult ticket and the price for the child ticket

Answers

Answer 1

Answer:

Adult = $15 pp

Child =  46 pp

Step-by-step explanation:

  Let A and C be the price of Adult and Child's tickets, respectively.

 We can set up equations for each of the two days, Tuesday and Wednesday.  Each equation adds the totals paid for the two ticket levels and set it equal to the total income for that day:

Tues:  8A+9C=174

Wed:   5A+7C=117

We have two equations and two unknowns.  Let's manipulate one of the equations in a way that allows us to eliminate one of the two variables, A or C.  [One can also solve either equation to isolate one of the variables, and then use that in the second equation.]

I chose to multiply the first by 5 and the second by -8, in order to make the coefficients for A the same value in both equations, but opposite in sign:

Tues:   40A+45C   =  870   [Multiply by 5]

Wed:  -40A -56C = -936     [Multiply by -8]

                      -11C = -66      [Add the two equations]

C = 6                                    [Ta Da.  Now use this price for a child's ticket in either of the original equations to find the cost of an adult ticket.]

8A+9C=174

8A+9*(6)=174

8A+54=174

8A   = 120

A  =  15

====

Use these two prices in the original equations to see if they indeed add up to the correct totals for each day.

                                                       Total Sales

Price     Tues     Wed          Tues  Wed    

A   15           8          5              120    75

C    6           9            7               54    42

               174        117              174   117 [The prices are correct]

Adult is $15 and child is $6


Related Questions

Evaluate.

−[4.1−3(2.2)](−0.2)2+2

What is the value of the expression?

Enter your answer as a decimal in the box.

Answers

64.5

Explanation:

-(4.1-3(2.2))=2.5

2.5÷(-0.2)^2=62.5

62.5+2=64.5

THEREFORE

the answer is 64.5

The solution of the mathematical expressions will be 64.5

What is Number system?

A system of writing to express the number is called number system.

Given that;

The mathematical expressions are,

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Now,

Solve the expression as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

Using the BODMAS rule to solve the expressions as;

⇒ −[4.1 - 3 (2.2)] / (-0.2)²  + 2

⇒ - [ 4.1 - 6.6 ] / (-0.2)²  + 2

⇒ - [-2.5] / (-0.2)²  + 2

⇒ 2.5 / 0.04  + 2

⇒ 62.5 + 2

⇒ 64.5

Therefore,

The solution of the mathematical expressions will be 64.5

Learn more about the mathematical expression visit:

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How would I solve this?

Answers

Answer:

2a+3b=4a-3b

a+3=4b

b=3

a=9

Step-by-step explanation:

2a+3b=4a-3b

-2a=-6b

a=3b

a+3=4b

3b+3=4b

3=b

a=9

What value of x satisfies the equation 3x – 2 = 2x + 4?

Answers

Answer:

x = 6

Step-by-step explanation:

3x - 2 = 2x + 4

First, we need only 1 set of x, so I'll subtract the smallest x from the other.

-2x both sides.

x - 2 = 4

Next, add +2 to both sides. (In these types of questions always do the inverse!)

And so your answer is:

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Add  2  to both sides of the equation

3x - 2 = 2x + 4

3x - 2 + 2 = 2x + 4 + 2

2. Simplify  

3x = 2x + 6

3. Subtract 2x from both sides of the Equation

3x - 2x = 2x  + 6 - 2x

4. Simplify

x = 6

solve (2x + 5)= (2x + 3)(2x - 1)

Answers

[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]

Answer:

x = -1± sqrt( 33)

    ----------------------------

             4

Step-by-step explanation:

(2x + 5)= (2x + 3)(2x - 1)

Distribute

2x+5 = 4x^2 +6x-2x-3

Combine like terms

2x+5 = 4x^2 +4x -3

Subtract 2x +5 from each side

0 = 4x^2 +4x-3-2x-5

Combine like terms

0 =4x^2 +2x -8

Using the quadratic formula

a=4  b=2  c=-8

x = -b± sqrt( b^2-4ac)

    ----------------------------

             2a

x = -2± sqrt( 2^2-4(4)(-8))

    ----------------------------

             2(4)

x = -2± sqrt( 4+128)

    ----------------------------

             8

x = -2± sqrt( 132)

    ----------------------------

             8

x = -2± 2sqrt( 33)

    ----------------------------

             8

x = -1± sqrt( 33)

    ----------------------------

             4

The relationship between y and x is 9/3 which table represents this relationship and why?

Answers

Answer:

First one

Step-by-step explanation:

For every 1 in x the y goes up by 3

In one vending machine, 5 white milk are sold for every 6 chocolate milk. If 20 white milk are sold, how many chocolate milk are sold?

Answers

Answer:

Its easy

Step-by-step explanation:

[tex]20 = 5 \times 4[/tex]

[tex]20 = 5 \times x \\ x = 4[/tex]

So we know the x is four so it will be like this

[tex]6 \times 4 =x \\ x = 24[/tex]

So there were sold 24 chocolate milks

Hope this helps

Answer:

24

Step-by-step explanation:

because

5____6

20___x

Proportion: x=20*6/5=24

Which expression is equivalent to (15aºb²c34) (3a166-29cº) for all values of a, b, and
c where the expression is defined?

Answers

The answer is 45a16c34b27

Write an equation for the graph.

Answers

Answer: y=5/3x+3

Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation

PLEASE HELP!! find the value of x. attached image.

Answers

Answer:

x = 4

Step-by-step explanation:

    The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.

    In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.

[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]

Answer:

x = 4

Step-by-step explanation:

9x - 8 = 28 ( converse of isosceles triangle )

(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)

[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

PLEASE HELP!! find the value of x. attached image.

Answers

Answer:

x     =   4.712145

Step-by-step explanation:

Given a=20 and b=28,

c = 4√74 = 34.409301068171

∠α = 35.538° = 35°32'16" = 0.62025 rad

∠β = 54.462° = 54°27'44" = 0.95055 rad

Area = 280

Perimeter = 82.409301068171

_____________________________________

Let's solve your equation step-by-step.

9x−8=34.409301

Step 1: Add 8 to both sides.

9x−8+8=34.409301+8

9x=42.409301

Step 2: Divide both sides by 9.

[tex]\frac{9x}{9} =\frac{42.409301}{9}[/tex]

x=4.712145

Answer:x=4.712145

Can someone please help me with this question.

How can you tell whether two sets of data, ordered pairs, vary directly?

Answers

Answer:

graph them

Step-by-step explanation:

you can tell if you graph them

Please help it depends on my grade i have a 50 i need to pass this test.do the ordered pairs represent y as a function of x?

(9, 0), (8, 0), (-8, 3), (-3, -3), (-4, 2)
A. No, because there is more than one y-value for the same x-value.
B. Yes, because for every x-value there is only one y-value.
C. No, because there is more than one x-value for the same y-value.
D. Yes, because for every y-value there is only one x-value.

Answers

Answer:

a

Step-by-step explanation:

Find the roots 3x^3-13x^2-26x-24

Thank you

Answers

Answer:

31781715561888155919761999

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?

Answers

Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

Determine the intercepts of the line

Answers

Answer:

25, -55

Step-by-step explanation:

Intercepts are where the line crosses the x and y axis

x intercept = 25

y intercept = -55

There are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?

Answers

Answer: 60%

Step-by-step explanation:

39/65 = 3/5 = 60%

Answer:

60%

Step-by-step explanation:

65 seats in total = 100%

divide by 65 on both sides to get 1 seat

1 seat=1.54

times by 39

39 seats=60%

You have a box of fruit flies that are left untouched. The fruit fly population doubles every 3 hours. Would this equation be linear or exponential?

Group of answer choices


Exponential


Linear

Answers

Answer:

B Exponential

Step-by-step explanation:

Hope this helps

The equation for the fruit fly population doubling every 3 hours would be exponential.

Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.

The general form of an exponential growth function is given by: y = a * b^x

Where:

- y is the final quantity or population size after x intervals of time.

- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).

- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).

- x is the number of intervals of time (in this case, the number of 3-hour periods).

In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.

To know more about population:

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please please look at the picture and see if you can help!!!! i’m struggling so badly!

Answers

Can u take another one it’s blurry

a farm is sold for $457000, which gives a profit of 19%. Find the profit

Answers

Answer:

The profit is 86830

Step-by-step explanation:

To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830

Answer:

Profit: $73000

Step-by-step explanation:

Profit = Selling price (SP) - Cost price (CP)

First you need to find the CP

CP = (SP*100)/(100+Percentage profit)

SP= $457000

Percentage profit = 19%

CP= (457000*100)/(100+19)

CP= 45700000/119

CP= $384,033.6134

Profit = 457000-384,033.6134

Profit = $72966.3866

Profit rounded to the nearest 1,000 or  the Thousands Place = $73,000

Hope this helps. Please give me the brainliest?

Find the equation of a line parallel to y = x + 8 that passes through the point
(-3,3).

Answers

Answer:

y=x + 6

Step-by-step explanation:

G1=G2

so G2 =1

y-3 /x+3 =1/1

y-3 = x +3

y=x + 6

What is the area of this figure?

please help me ASAP!

Answers

Area = 35



Area = area of square + area of triangle

Area of square = length x width
Area of square = 5 x 5
Area of square = 25

Area of triangle = base x height x 0.5
Area of triangle = 5 x 4 x 0.5
Area of triangle = 10

Area of figure = triangle area + square area

Area of figure = 10 + 25

Area = 35

Answer:

35cm squared

Step-by-step explanation:

5*5=25 for the square

10cm for the triangle (multiply base by height)

add it for 35

i neeeeeeeeeeeeeeeeeeeed hellp fast

Answers

Answer: point E

Step-by-step explanation:

Anita is making balloon bouquets for her school's autumn dance. She uses 3 orange balloons and 2 green balloons in every bouquet.
Pick the diagram that models the ratio in the story.
If Anita uses a total of 15 orange balloons, how many green balloons should she use?

Answers

Answer:

i think 10

Step-by-step explanation:

you multiply 3*5=15 and 2*5=10

the actual height of the building in this scale drawing is 144 feet what is its actual width?

Answers

90 ft.

Set up this proportion:
144/x = 24/5

Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *

Answers

Answer:

10\frac{7}{12}

Step-by-step explanation:

First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.

Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.

Now you are left with \frac{4][12] and \frac{9}{12}.

Add those back to your numbers

16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}

question that EQUALS
67.5

Answers

The answer is 3.375 and i really need this bro or sis

HELP!!! THIS IS IMPORTANT
, aflred runs 2 1/2 miles in 3/4 of an hour.

Which unit rates are true for this situation?


3/10 miles per hour

3/10 to run a mile

3 1/3 miles per hour

3 1/3 hours to run a mile

Answers

I’m pretty sure it’s 3/10 miles per hour
I think it’s 3 1/3 miles per hour

Find the volume of the figure below.

Answers

Answer:

0.6

Step-by-step explanation:

10ft of object and 6ft of ground side

Given the system of equations, what is the x-coordinate of the solution?



y = 3 - x 1/2

3x + 4y = 1

-11
22
-17/2

Answers

Answer:

i think x = -11

Step-by-step explanation:

x = -11

y = -17/2

Answer:

x = -11

Step-by-step explanation:

What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done

Answers

Answer:

  (d)  9/2

Step-by-step explanation:

The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.

Here, we have ...

  x = 0, y = 1

  x = 1, y = 9/2

These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.

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