The admission ticket for Pat Pat Zoo is $1.50 for children and $4.00 for adults. On a certain day, 2200 people went to the zoo and $5050 was collected. How many children and how many adults went to the zoo that day?

Answers

Answer 1

Answer:

1380 children and 820 adults went to the zoo that day

Step-by-step explanation:

System of Equations

Define the following variables

x = number of children that went to the zoo

y = number of adults that went to the zoo

On a certain day,  2000 people went to the zoo, thus:

x + y = 2000

Solving for x:

x = 2000 - y        [1]

The admission ticket is $1.50 for children and $4.00 for adults and that same day, $5050 was collected, then:

1.50x + 4y = 5050       [2]

Substituting x from [1]:

1.50(2000 - y) + 4y = 5050

Operating:

3000 - 1.50y + 4y = 5050

3000 + 2.5y = 5050

Subtracting 3000

2.5y = 5050 - 3000 = 2050

Dividing by 2.5

y = 820

From [1]

x = 2200 - 820 = 1380

1380 children and 820 adults went to the zoo that day


Related Questions

X^2-x-56=0
How do you use the zero product property to solve this?

Answers

Answer:

(x - 8) (x + 7)

x = 8 or x = -7

Answer: I don't know lol

A 10% increase followed by another 10% increase is not the same as a total increase of
20%.
What is the total percentage increase?

Answers

Answer:

21%

Step-by-step explanation:

Another 10% increased means it becomes 110*110/100 = 121. The first 10% increase means the second 10% increase will be an actual 11% increase from the original, so it will be a total of 21%.

Answer:

21%

Step-by-step explanation:

Because the first 10% increase is calculated as 10% of what you started with. The second 10% is 10% of what you started with plus 10% of the increase caused by the original 10% increase.

Let's do the maths…

Let's start with 100 to make things easy.

We know that 10% of 100 is 10.

We know that 20% of 100 is 20.

So if we increase 100 by 10% we get 110.

If we increase 100 by 20% we get 120.

Now lets do the 10% plus 10%.

From the first 10% increase we were left with 110.

Now if we take 10% of the 110 we have 11.

Add that to the 110 and we get 121.

This is why people are surprised how quick a lone can rise if we don't pay it off. We are paying interest on the basic sum plus interest on the interest, then interest on the interest on the interest.

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

x2+7x+12=0 please help

Answers

Answer:

x has the values -4 and -3

Step-by-step explanation:

x² + 7x + 12 = 0

x² + 3x + 4x + 12 = 0

x(x + 3) + 4(x + 3) = 0

(x + 4)(x + 3) = 0

Sergio tiene p pinturas en su colección de arte.
Él y otros coleccionistas de pintura locales
acordaron donar 48 pinturas al museo local.
Cada uno de los 12 coleccionistas donarán la
misma cantidad de pinturas.
¿Cuántas pinturas tendrá Sergio en su colección
de arte después de su donación?
Escribe tu respuesta como una expresión.
pinturas.
¿Atorado? Ve un video o usa una pista.

Answers

Answer: P-4

Step-by-step explanation: 48 cuadros donada por 12 coleccionistas podemos decir que cada coleccionista donará 4 cuadros.

The answer for this question is p-4

How do I simplify 6x+4x-10(2)

Answers

Answer:

10x-20 uhhh yeah that's the answer

PLEASE HELP!!!!!!!!Drag the number cards to create a correct sentence

Answers

5% of 128 is 64
Reasoning: there are multiple possible answers, and here is an acceptable one.

The sequence that fulfills all the conditions is 4% of 250 = 10.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the table and a bit of thinking, we can construct a sequence that has whole value and percentage value as integers.

After trying with different sequences and by hit and trial we found a sequence that is,

4% of 250 = 10 which fills all the conditions.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ5

Systems of equations by substitution

Answers

x + 3 = 2x +5
-x -5 = -x - 5
x = -2

Answer:

(-2,1)

Step-by-step explanation:

Substitute the value of y (x+3) from one equation into the second equation (2x+5)

X+3 = 2x + 5

add -2x to both sides

-x+3=5

add -3 to both sides

-x=2

x=-2

substitute -2 for x in either equation to find y.

y=-2+3

y=1

Check your answer by substituting x and y into either equat to make sure it equals.

y=x+3

1=-2+3

1=1

or

y=2x+5

1=2(-2)+5

1=-4+5

1=1

find the radius of each circle with the given dimensions. d = 29 m

Answers

Answer:

14.5

Step-by-step explanation:

The radius is half the diameter.

29/2=14.5

The amount of​ money, y, pizzeria K makes by selling x pizzas can be modeled by the equation y = 13x. The relationship of the amount of money pizzeria L makes is shown in the following graph. Which pizzeria makes more money per​ pizza?

Answers

Answer:

Step-by-step explanation:

Complete Question:

The amount of money, y, pizzeria W makes by selling x pizzas can be modeled by the equation y = 15x. The relationship of the amount of money pizzeria L makes is shown in the following graph.

Which pizzeria makes more money per pizza?

A. Pizzeria L makes more money per pizza.

B. Pizzeria W makes more money per pizza.

C. They make the same amount per pizza.

Answer:

B. Pizzeria W makes more money per pizza.

Step-by-step explanation:

The proportional relationship showing how amount of money made(y) is related to the amount of pizzas sold (x) for pizzeria W is given by the equation y = 15x.

the constant of proportionality/unit rate, k = 15.

This represents the amount in dollars, made per pizza.

So, Pizzeria W makes $15 per pizza.

For Pizzeria L, using any point on the line, say, (2, 24),

k = y/x = 24/2 = 12.

This represents the unit rate, which is the amount Pizzeria L makes per pizza.

Thus, Pizzeria L makes $12 per pizza.

We can conclude that, Pizzeria W makes more money per pizza.

Answer:

L

Step-by-step explanation:

what is the diameter of a pond with a area of 4069.44

Answers

Answer:

72

Step-by-step explanation:

Formula: A= 3.14r^2

4069.44^2 = 3.14r^2

(divide both sides by 3.14)

1296=r^2

(find sqr root of 1296)

36=r

to find the diameter with the radius, multiply radius by 2... 36*2= 72

The diameter of a pond with an area of 4069.44^2 is 72!

Hope this helps anyone :)

A diameter is a chord.
True or false and why?

Answers

Answer:

true.

A chord that passes through the center of a circle is called a diameter and is the longest chord.

Step-by-step explanation:

A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.

i hope this helps you.      :)

GIVING BRAINLIEST please answer: Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 12.3 ft. long and 6.9 ft. wide. Carter's bedroom is 10.4 ft. long and 8.2 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your process for figuring out the area of the floor for each bedroom and determining your answer.

Answers

Answer:

Carter's bedroom

Step-by-step explanation:

Carley's bedroom :12.3 x 6.9 = 84.87 sq feet

Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet

Answer:

Step-by-step explanation:

Carley's bedroom :12.3 x 6.9 = 84.87 sq feet

Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet

Justin bought 3 shirts for $18 each, 2 pair of socks for $3.99 a pair, and a pair of
slacks for $45.00. The sales tax rate is 8.5%. How much did he pay?

Answers

The answer would be- P=$116.07 because you have to x all the numbers then add some

This is my last question if you understand this please answer my question.

Answers

Answer:

3. reflective property

4.AE=CE

5.<AED=<CED 5.SSS congruence

Please Help Me With This Problem (Math)

Zack delivers mail for the post office. Every day he walks a 7-mile route. How many miles does Zack walk in one month if he works 22 days that month?

Answers

Answer:

22*7= 154 miles

Step-by-step explanation:

Answer:

154 miles.

Step-by-step explanation:

7×22=154, just multiply

12x-4y=24 solve for y

Answers

-4y = 24 - 12x

4y = 24 + 12x

y = 6 + 3y

help.......................

Answers

Answer:

x=7

Step-by-step explanation:

HOPE THIS HELPS!!!

Write 175 as a product of its prime factors.Write your answer in index form

Answers

5 ^ 2x7

Have a good day

A university has 40,140 students. In a random sample of 210 students, 14 speak three or more languages. Predict the number of students at the university who speak three or more languages.

Answers

Answer:

2676 students

Step-by-step explanation:

Total number of students =. 40,140

During study:

Sample size = 210

Number of samples who speak 3 or more languages = 14

Proportion who speak 3 or more languages :

14 / 210 = 0.0666666

Applying the proportion to the total. Population :

0.0666666 * total number of students

0.0666666 * 40140

= 2675.997324

= approximately 2676 students

2.

Find the slope of the line.

A. 0
B. -2
C. Undefined
D. 2

Answers

Answer:

A. 0

Step-by-step explanation:

2-2/4-(-5)=0/9

Answer:

Answer: Undefined

Step-by-step explanation:

Its undefined because the line is vertical. This is also why the answer isnt zero.

Hope this helps (:

How many t-shirts could be made where the cost would be the same from both companies?

Answers

10 shirts could be made

Y=91 if x is 4 what is y

Answers

Answer:

y=91

.........???????

Carla's Plumbing charges $25 for a service call and $28 per hour, h, for labor for any repair. The total cost, t, for a repair can be calculated using the equation below. 28h+25=t Mr. Callahan paid a total of $165 for a repair. How many hours did it take to complete his repair?

Answers

Answer:

Step-by-step explanation:

2(b+c) please help me with this question.

Answers

Answer:

2b + 2c

Step-by-step explanation:

Use distributive property: 2b + 2c

Answer:[tex]\boxed{\boxed{\sf{2b+2c}}}[/tex]Solution Steps:

______________________________

1.) Use distributive property to multiply:[tex]2[/tex] × [tex]b=2b[/tex][tex]2[/tex] × [tex]c=2c[/tex]

So your answer is [tex]\bold{2b+2c}[/tex].

______________________________

I’m very confused please help!

Answers

Answer:

x=2, y=-2

Step-by-step explanation:

(9+10+1/1+1(1)-21+20)/2

Answers

Answer:

10

Step-by-step explanation:

(9 + 10+ 1/1 + 1(1) - 21 + 20)    / 2

(9 + 10 + 1 + 1 -21 +20)          /2

(21 - 21 + 20)              /2

(20) / 2

10

Hope this helps

PLZ MARK BRAINLIEST

The answer is 10
20/2-21+20/2
20/-19+20/2
20/1/2
20/2
=10
Hope this helps!

Multiply (2x + y = 20) by 5 and you get

Answers

Answer:

10x +5y = 100

Step-by-step explanation:

Ig not sure

PLEASE HELP! I WILL MARK BRAINLIEST IF CORRECT!

The chart below displays information regarding the number of picture frames sold by a store in a given month.
According to the chart, what fraction of the frames sold during the four-month period were sold in march? Hint: Determine the total number of frames sold and then write a fraction with March/total and simplify.
a. 3/10
b. 1/4
c. 1/5
d. 1/6
e. 1/10

Answers

In the chart, rectangle white inside is 100 and solid is 50. So they sold 250 in March out of 1,000 total in a 4 month period. Answer is b. 1/4

Answer:

1/4

Step-by-step explanation:

Calculate the frames of each month:

January = 350

February = 100

March = 250

April = 300

Solve

[tex]\frac{March}{Total} = \frac{250}{350 + 100 + 250 + 300} = \frac{250}{1000}[/tex]

Simplify

[tex]\frac{250}{1000} = \frac{25}{100}= \frac{1}{4}[/tex]

1. Determine the scale factor of the given dilation from point O
(image : pre-image)?
A) 3 : 2 B) 1.5 : 1 C) 5 : 2 D) 2 : 3

Answers

Answer: B

Step-by-step explanation:

0.9d-2.1f
Helpp!!❗‼️

Answers

Step-by-step explanation:

0.9(17) -2.7(3) =

15.3-8.1

=7.2

Other Questions
The table gives the mass of liquids with a volume of 5 cm. Density is the ratio of mass to volume.Density = mass/Volume what is the density of milk? Use the dropdown menu to complete the statementThe density of milk is _____ g/cmA. 0.98B. 1C. 1.03D 1.26 Which of the following bodies of water is an example of a shrunken lake?A.the HarirudB.the Aral SeaC.the Caspian SeaD.the Balkhash lake the expression 3(-2m + 5)-6(-4m-2) can be written in the form am + b what is the value of a + b in number form .......HI ..Jimmy had 5 cups of tea in the afternoon how many did he have if he drank 10 more? Which statement best describes the process of evolution?a. Populations can survive in different locations on earthb. Environmental conditions limit the number of species on Earth d. The traits of a species can change over timec. Populations grow when resources are abundantd. The traits of a species can change over time you have two bean burritos with the same ingredients. One burrito weighs 0.3 pounds, while the other weighs 0.5 pounds. After microwaving each of them for one minute, which burrito will be hotter? Explain your answer. how to tell what sexuality i am? PLS HELP WILL MARK BRAINLIESTJace has (n) nickels and (d) dimes. He has at most 20 coins altogether. Write this situation as an inequality. Which sentence contains an infinitive acting as an adverb?To walk to school that morning took about ten minutes.Fredericka wished to sleep in the next morning.I want to be alone so that I can finish my homework.She found it difficult to speak in front of an audience. Mitosis results in which of the following?A. Two cells with different genes.B. Two cells with identical genes.C. Four cells with different genes.D. Four cells with identical genes Which type of local government controls communities that are bigger than villages and smaller than cities? PLZZZZ HELP 20PTS plzzzzzzz I beg u multimodal texts definition Whats the key stages during expiration(breathing out) and during inspiration(breathing in)? Which phrase best helps explain the meaning of ousted?A. its alliesB. remove the TalibanC. the terrorist groupD. helped set up Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags? Write down the value of the 6 in the number 2693 what is unemployment Which expression is equivalent to 10x+9+10x+1010x+9+10x+10? Roy and two friends are at a game center. Each person buys hot dogs for $3, fries for $2.49, and a drink for $2.50. They also have a coupon for $1 off each drink. Write an expression to represent the total cost. Then find the total cost.