A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday they sold 72 child tickets and 36 adult tickets for $306. What is the cost of a child ticket?

Answers

Answer 1

Answer:

$2

Step-by-step explanation:

Let, price of individual child ticket is $x, and price of individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

and on Saturday we can write an equation is 72x+36y=306.....(2).

so, Equation 1: 55x+20y=200

 

Equation 2: 72x+36y=306

now, we are going to solve both equations.

after solving you will find x=2 and y=4.5

Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.

Answer 2

The cost of a child's ticket will be $2.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Let, the price of an individual child ticket is $x, and the price of an individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

On Saturday we can write an equation is 72x+36y=306.....(2).

The first equation is:-

55x+20y=200

The second equation will be written as:-

72x+36y=306

Now, we are going to solve both equations. After solving you will find x=2 and y=4.5

Hence, we can say that the cost of a child ticket is $2, and the cost of an adult ticket is $4.50.

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Related Questions

A 50 loot ladder is leaning against a building. If the base of the ladder is 35 feet from the base of the building, how far up the building is does the ladder rest? Round to the nearest hundredth (two decimal places)​

Answers

Answer:

The ladder is 35.71 feet up the building

Step-by-step explanation:

Here, we want to calculate how far up the building is the ladder placed

We should picture a right angled triangle with hypotenuse 50 and one of the other sides as 35

To find the height in this case, we proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

In this case, let the height be

50^2 = 35^2 + h^2

h^2 = 50^2-35^2

h^2 = (50+35)(50-35)

h^2 = (85)(15)

h^2 = 1275

h = square root of 1275

h = 35.71 ft

solve for m
-2(m +5) +14 =-6​

Answers

Answer:

m=5

Step-by-step explanation:

-2m-10+14=-6

-2m+4=-6

-2m=-10

m=5

Gavin has 50 tokens and continues to ride the roller coaster three times every hour Gibson has 12 tokens and finds two more tokens on the ground every hour how long until they have the same amount of tokens?

Answers

Answer:62

Step-by-step explanation: I just did it and got it right

They have the same amount of tokens after t = 7.6 hours.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Since Gavin initially has 50 token and rides the roller coaster three times per hour, he uses 3 token per hour.

So, a number of token he losses after t hours is 3 token per hour × t hours = 3t.

Thus, the number of tokens left after t hours is T = 50 - 3t

Since Gibson initially has 12 tokens and find two tokens on the ground per hour, he gains 2 tokens per hour.

So, number of token he gains after t hours is 2 token per hour × t hours = 2t.

Thus, the number of tokens he has after t hours is T' = 12 + 2t

To find the time t when they will have the same tokens, T must be equal to T', that is T = T'.

So, 50 - 3t = 12 + 2t

Now collecting like terms, we have

50 - 12 = 3t + 2t

38 = 5t

Then dividing both sides by 5, we have

t = 38/5

t = 7.6 hours

Hence, they have the same amount of tokens after t = 7.6 hours.

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Which best describes a rectangle with diagonals that are perpendicular?

A. parallelogram
B. rectangle
C. rhombus
D. square

Answers

C. rhombus

RectangleA rectangle is a four-right-angle quadrilateral. It is also known as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.A rectangle with diagonals that are perpendicular is a C. rhombus.

Find out more information about the rectangle here:

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The smiths went to Larosa's for dinner and spent $42.50 on dinner. There is a 6.5% tax and they want to give a tip of 20% before the tax is added. What is the total price of their bill?

Answers

Answer:

Step-by-step explanation:

cost of dinner = $42.5

Tax = 6.5%

Tip = 20%

Total amount percent on food  = 26.5%

Amount paid on the original price = 26.5% of $42.5

Amount paid on the original price = 0.265*42.5 = $26.5625

Total price of the bill = $42.5 + $26.5625

Total price of bill = $69.0625

Three adult kangaroos weigh 435 pounds.
If each adult weighs the same, how much
would one adult kangaroo weigh?

Answers

Answer:

um 145 lbs

Step-by-step explanation: basic math bruv

Answer:

145 lbs

Step-by-step explanation:

A line has this equation Y= 3X +4 write an equation for the parallel line that goes through -4, -9

Answers

Answer:

4 plus 4 equelses 12

Step-by-step explanation:

4. Kerri kicked the ball 2,340 inches. How many yards did she kick the ball?

Answers

Answer:

65 yards.

Step-by-step explanation:

The answer is 65 yards because 1 yard is 36 inches and 2340 divided by 36 is 65.

Answer:

the answer is 65 yards.

Noah's oven thermometer gives a reading that is 2% greater than the actual temperature if the actual temperature is 350°F what was the motor reading be

Answers

Answer:

357°F

Step-by-step explanation:

Step one:

given data

actual reading= 350°F

thermometer reading 2% of the actual reading

Step two:

Required:

The thermometer reading

let us find 2% of 350°F

2/100*350°

=0.02*350

=7°F

Hence the thermometer reading is 7°F greater than  350°F

The thermometer reading is 350+7=357°F

if /llm what is the value of x?​

Answers

Answer:

[tex]x^{\circ}=137^{\circ}[/tex]

Step-by-step explanation:

Angle 43 and x are called same-side exterior anglesThat means they sum up to 180 degrees, so[tex]43^{\circ}+x^{\circ}=180^{\circ}\\43^{\circ}-(43^{\circ})+x^{\circ}=180^{\circ}-(43^{\circ})\\x^{\circ}=137^{\circ}[/tex]

During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?

i need explanation im confused

Answers

It’s basically asking what is 25% of 40. And since 25 times 4 equals 100%. Your answer would be 10.

PLEASE HELPNWILL GIVE BRAINLIEST​

Answers

Answer:

0.010

Step-by-step explanation:

Multiply. Write your answer in scientific notation.
(8.8 x 10')(7.5 x 10
10 )

Answers

6,666,00 Feet
Answer to you’re question

yo mama got sstinky toes when u gon wash them 10;00? 3:00? or 9;00

Answers

As soon as I can. We dont want no stanky toesss

3. Please convert 47 1/2 to a decimal ​

Answers

Answer:

47.5

Step-by-step explanation:

keep 47 there

1/2 as a decimal well we know 1/2 is equivalent to 0.5 so just combine 47 & 0.5 and you'll get 47.5

Answer

I believe it is 47.5. I hope it helps!

9. Write the equation of the line in slope-intercept form given the following:
Point (0, 1), (2, -1)

Answers

Answer:

y=1x+1

Step-by-step explanation:

We already know the Y intercept is 1 from the first set of points given

The change in x is 2 and the change in Y is also 2 so when you make the slope equation y/x you get 1

Pluggin in the numbers you get: y=1x+1

The b value of the equation y = a(b)^x represents which of the following?

Answers

Answer:

the b-value is the growth or decay factor.

Step-by-step explanation:

-238=-7(-4x+6)
Why why why

Answers

Answer: -7=x

Step-by-step explanation: −

238=28−42

−238+42=28−42+42

−196=28

-196/28=28x/28

-7=x

Answer:

i dont know why? why? are you asking Why am i crazt Why or why not?

Step-by-step explanation:

A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to build a fence that is 150 inches long?

Answers

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

x
у
-12
7.
5
4
3
8
2
16
0

Answers

Answer:

The rate of change is - 1/4

What is the answer??? Only if you know please i will report you no games

Answers

Answer:

a b and E

Step-by-step explanation:


Given that these two triangles are similar, what is the measure of L???

Answers

Answer:

35°

Step-by-step explanation:

Each triangle has a total degree of 180° so you know that one triangle has degrees of 90°&55° then you can subtract that from 180 to find out. But since they are similar they have to have the same angles and the first triangle tells you the missing angle.

Can anyone help me out with these problems?

Answers

Answer:

Step-by-step explanation:

1) 3/4x = 1/2       2) 2x = 3/11        3) 1 1/2 x = 12      4) 1/5x = 1/6

   x = 1/2 * 4/3         x = 3/11 * 1/2       3/2x = 12             x = 1/6 *5/1

    x = 2/3                   x = 3/22              x = 12 * 2/3       x = 5/6

                                                               x = 4*2

                                                               x= 8

5) 5x = 15/21           6) 2/3 x  = 3/2

    x = 15/21 *5               x = 3/2 * 3/2

    x = 75/21                  x =9/4

    x = 3.5                      x = 2.25

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The sail and mast of a sailboat form a right triangle.What is the height of the mast on the sailboat? height 20m width 12m

Answers

Answer: 16 m

Step-by-step explanation:

Using the Pythagorean theorem you can find the height of the mast.

The formula is;

a² + b² = c²

a is one side of the triangle such as the width

b is another side such as the height

c is the hypotenuse which is the longest side.

c will therefore be 20m.

a will be 12m

12² + b² = 20²

b² = 400 - 144

b² = 256

b = √256

b = 16m

What is the soulition for 2/3x+16=-14

Answers

Answer:

x = - 1/45.

Step-by-step explanation:

Answer:

x = -20

Step-by-step explanation:

2/3x + 16 = -14

         -16    -16

2/3x = -30

*2        *2

3x = -60

/3      /3

x = -20

Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes that the product of her brothers ages is equal to the age of her 40 year old father. How old is Sarah? How do we setup an equation for this using null factor law presumably.

Answers

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

[tex]S - F = 5[/tex] ---- (1)

From the second, we have:

[tex]S - B = 8[/tex] ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

[tex]F = S - 5[/tex]

[tex]B = S - 8[/tex]

Their product is represented as follows:

[tex]F * B = 40[/tex]

Substitute values for F and B

[tex](S - 5) * (S - 8)=40[/tex]

Open bracket

[tex]S^2 - 5S -8S + 40 = 40[/tex]

[tex]S^2 - 13S + 40 = 40[/tex]

Subtract 40 from both sides

[tex]S^2 - 13S = 0[/tex]

Factorize:

[tex]S(S - 13) = 0[/tex]

Split:

[tex]S = 0[/tex] or [tex]S - 13 = 0[/tex]

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

[tex]S - 13 = 0[/tex]

Make S the subject

[tex]S = 13[/tex]

Hence, Sarah is 13 years old

PRONTO PLS-------
suppose you deposit $2500 in a savings account that pays you %5 interest per year. how many years will it take for you to double your money? how many years will it take for your account to reach $8000?

Answers

Answer:

t = 44 years

Step-by-step explanation:

t = (1/r)(I/P-1)

t = (1/0.05) {(8000/2500) - 1}

t = 44

Which system of equations could you use to
determine where the paths intersect?
y=0 and y= -0.12(x-20)^2
y=0.8x and y= -0.12x^2+20
y=0.8x and y= -0.12(x-20)^2
y= 0.8x+8 and y = -0.12x^2+20

Answers

Answer:B

Step-by-step explanation:

Question:

Which system of equations could you use to determine where the paths intersect?

y=0 and y= -0.12(x-20)^2

y=0.8x and y= -0.12x^2+20

y=0.8x and y= -0.12(x-20)^2

y= 0.8x+8 and y = -0.12x^2+20

Answer:

B.

HELP URGENT ASAP WILL MARK AND 5 STARS DUE in 5 MINUETS HURRY

Answers

Answer:

1. x=8

the other ones i got was decimals and i dont think you want those for this assignment

Step-by-step explanation:

help idk how to do this
It takes Frank 2 hours to build a fence. It takes Tom 9 hours to build the same fence. How long would it take to build the fence if Frank and Tom built the fence together?

Answers

Answer:

5 1/2 hours

Step-by-step explanation:

You would have to add 2 and 9 and then divide by 2. (Find the average of the two)

2 + 9 = 11

11 / 2 = 5.5

So if you add their times then divide you receive and average of five and a half hours.

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