The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 332
people entered the park, and the admission fees collected totaled 898.00 dollars. How many children and
how many adults were admitted?

Answers

Answer 1

Answer:

172 kids and 160 adults

Step-by-step explanation:

We can create two equations with the information given.

1.5x + 4y = 898

x + y = 332

We can then bring the x in the second equation over to the other side.

y = 332 - x

We can now plug this equation into the one before.

1.5x + 4(332 - x) = 898

We now do the distributive property on the equation and result with

1.5x + 1328 - 4x = 898

Then we can combine like terms and add 1.5x and -4x together and bring 1328 over by subtracting it from 898.

-2.5x = -430

-430 / 2.5x = 172

x = 172

x is defining how many children when to the park.

Now we just need to figure out y by subtracting it from the total amount of people (aka plugging it into the second equation)

y = 332 - 172

y= 160

We end up with

x = 172

y = 160

172 children and 160 adults


Related Questions

20+52x81/5 is the algebra question

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Answer:

The first person said it before I did :( Well, good luck with your studies! Hope you have a great day!

From: iOE

On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5

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Answer:

On the number line integers from 16 to 24 is the answer.

Answer:

Step-by-step explanation:

Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

2x - y = -4

-y = -2x - 4

y = 2x + 4

Since the 2 lines are parallel, they have the same slope.

Step 2: Define variables

Slope m = 2

Origin (x-int and y-int) (0, 0)

Step 3: Write parallel linear equation

y = 2x + 0

y = 2x

What does it mean for a function to have a root?

Answers

Answer:

Step-by-step explanation:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

Answer:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

sound travels 1129 feet per second air. how far can sound travel in 2 seconds when traveling through hair

Answers

Answer:

Sound travels 2258 feet in 2 seconds while travelling through air.

Step-by-step explanation:

Sound travels 2,258 feet per 2 second. or .428 miles
or 27.097 inches
or 752.6667 yards

Find all values of k such that the graph of the inequality (x-2)(x-5)(x-k) >= 0 consists of a single interval on the number line.

Answers

(x - 2)(x - 5)(x - k) >= 0

Let's set each term equal to 0

x - 2= 0

Add 2 to both sides

x = 2.

x - 5 = 0

Add 5 to both sides

x = 5

x - k = 0

Add k to both sides

x = k

Since x = 2 and 5, k = 2, 5

Let's plug our numbers into the inequality.

(2 - 2)(2 - 5)(2 - 2) >= 0

(0)(-3)(0) >= 0

0>=0

(5 - 2)(5 - 5)(5 - 5) >= 0

(3)(0)(0) >= 0

0 >= 0

This proves that 2 and 5 are equal to k

at home any hours of service do repair service s cost the same which equation could you use to solve​

Answers

Answer:

how many hours times repair service

Step-by-step explanation:

which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet

Answers

Answer:

ft is premeter of triangle

Pls helpppp meeee‼️‼️‼️‼️‼️‼️‼️

Answers

I think 9,6 is right answer

Answer:

2 yards because 3 is divided by 6

what is the difference between (5+3)x3 (5+3)x9

Answers

Answer:

If you were asking the difference as in subtraction then the answer is 18.

Please help, I don't understand, please
-8+(-3)=

Answers

Answer: -11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

= -8+ -3

= -11

Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?

Answers

Answer:

d does not have an inverse image

Step-by-step explanation:

From the question we are told that

    The  first set is    A (10, 11, 12, 13 )

     The  second set is     B (a, b, c, d)

      The function that from A to B is  f(10, a), (11,a), (12, b), (13,b))

Generally for a function defined by (x,y), y is the image of x while x is the inverse image  of  y

Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function

hence d does not have an inverse image  

       

A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. For how many hours should the bulbs be guaranteed?

Answers

Answer:

49.2 hours

Step-by-step explanation:

Use a chart or calculator to find the z-score associated with the probability.

P(Z < z) = 0.03

z = -1.88

Now find the x value.

z = (x − μ) / σ

-1.88 = (x − 61) / 6.3

x = 49.2

can ratios be thought of as fractions?

Answers

Yes
We can
Hence it’s true!
Totally it could be proper or improper fractions to

100 POINTS!! ASAP - Please SHOW WORK!!

Answers

Answer:

h = 435.779 m

Step-by-step explanation:

Step 1: Define variables

∅ = 5°

Hypotenuse (the road) = 5000 meters

We need to find height (or the vertical leg on the triangle) = h

Step 2: Use trig

sin∅ = opposite over hypotenuse

sin5° = h/5000

Step 3: Evaluate

5000sin5° = h

h = 435.779 m

Answer:

the increase of altitude is 435.8 m

Step-by-step explanation:

see attached

inclined road at 5°

after driving 5000 along the end road.

find:

increase of altitude (h)

let Ф = 5°

road = hypothenuse

using the formula Sin Ф = h ÷ hypothenuse

Sin(5) =      h      

              5000

h = Sin (5) x 5000

h = 435.8 m

therefore,

the increase of altitude is 435.8 m

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Answers

Answer:

I needed help on that question too

i guessing 7 because 2(3)+1. 6+1=7

is 1 (b+6) equivalent to (b+6)

Answers

Answer:

Yes.

Step-by-step explanation:

Step 1: Write out expressions

1(b + 6) = b + 6

Step 2: Distribute 1

b + 6 = b + 6

I need help on 13&14

Answers

Answer:

[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]

Simplifies to:

[tex]36i^2 + 3[/tex]

[tex]= 39[/tex]

What is the equation to the expression -2-3(-4)?​

Answers

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

Please help and do these asap no fake stuff please. Click on the paperclip to see problems

Answers

sorry, it's too blurry for me

Answer:

20 because that what I think

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Answers

Answer:

0.3

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0.273 rounded to the nearest tenth = 0.3

The sales tax on a used car priced at $4600 is $409.40. What is the sales tax rate?

Answers

Answer:

8.9%

Step-by-step explanation:

sales tax rate (in percentage) = 409.40÷4600*100=8.9%

32 as a single power of 2​

Answers

Answer:

1024

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

what is the square root of 2/8 as a decimal

Answers

The square root is 0.5

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Answers

Answer:

3.2

Step-by-step explanation:

what is -9/12 + 4/12=

Answers

Answer:

I think it would be -0.416 but I'm not real sure so make sure before using my answer! :3 Have a great day!

how many cookies can be made with 12 eggs ​

Answers

Answer:

It varies depending on the measurements of the other ingredients that are being used.

Step-by-step explanation:

Help!!to show your work!!

Answers

Y=-1/2x-7
Explanation:
-4y= 2x+28
Y=-1/2x-7

Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?



I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.​

Answers

Change everything into 10ths as follows:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.

21
4 = 420= 15 bracelets
7 28
20

(as a whole number there was no fraction or remainder to round off)

In 5 hours Arian can make 14 Bracelets.

What is unitary method ?

Unitary method is first obtaining the value of a single unit and then deriving any given unit given.

According to the given question Arian is making bracelets.

It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.

∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is

= 7/20 hours OR (7/20)×60 minutes = 21 minutes.

5 hours is = 5×60 = 300 minutes.

So, in 21 minutes he makes 1 bracelet.

In 300 minutes he can make  (300/21) Bracelets which is

= 14.28 Bracelets.

learn more unitary method here :

https://brainly.com/question/21648365

#SPJ2

I need to change the subject to x

Answers

Answer:

h) (x+4t²)/4= 3V

x+4t²= 4*3V

x+4t²=12V

x=12V-4t²

MN=√(3x-2)

(MN)²=3x-2

3x-2=(MN)²

3x=(MN)²+2

x= [(MN)²+2]/3

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