The admission fee at an amusement park is $2.25 for children and $6.80 for adults. 288 people entered the park, and the admission fees collected totaled 1194 dollars. How many children and how many adults were admitted?

Answers

Answer 1

Answer: Number of children  = 168

Number of adults = 120

Step-by-step explanation:

Let x = Number of children and y = Number of adults

As per given,

x+y=288          (i)

2.25x+6.80y =1194       (ii)

Multiply 2.25 on both sides in (i)

2.25x+2.25y= 648       (iii)

Eliminate (iii) from (ii)

4.55y=546

[tex]\Rightarrow y=\dfrac{546}{4.55}\\\\\Rightarrow\ y=120[/tex]

Put y= 120 in (i)

x+120=288

⇒ x=288-120

⇒ x= 168

Hence, Number of children  = 168

Number of adults = 120


Related Questions

What is the answer to this?
-72 = 8d

Answers

Answer:

-9 = d

Step-by-step explanation:

Answer:

d= -9

Step-by-step explanation:

PLEASE HURRY 45 POINTS!!! which function is best represented by the graph A. g(x)=(1/3) B. g(x)=6(3) C. g(x)=6-(1/3) D. g(x)=6-(3)​

Answers

Answer:

it is d. i had that question and i got it right

Step-by-step explanation:

The given line in the graph is represented by the equation g(x) = 6 - (3). The correct option is D.


What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the given graph the straight line is represented by the function g(x) = 6 - ( 3 ). The graph of the line is matched with the answer below.

To know more about the graph follow

https://brainly.com/question/25020119

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5x + 27 = -48

x=

whats x ?

Answers

Answer:

-15

Step-by-step explanation:

5x+27= -48

    -27= -27

5x= -75

5  =   5

x= -15

Answer:

x=-15

Step-by-step explanation:

5x+27=-48

    -27   -27

5x=-75

x=-15

Write the equation of the line, in point-slope form. Identify (x1 y2) as slope (-2,2). Use the box provided to submit all of your calculations and final answers.

Answers

Answer:

y + 2 = -1(x - 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-2, 2)

Point (2, -2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-2-2}{2+2}[/tex]Subtract/Add:               [tex]m=\frac{-4}{4}[/tex]Divide:                          [tex]m=-1[/tex]

Step 3: Write equation

Point-Slope Form:   y + 2 = -1(x - 2)

And we have our final answer!

8. Evaluate the expression for x = 2
and y = 3.
16x0 + 5x2•y1

Answers

Answer:

The answer is 60.

Step-by-step explanation:

16(2)0 + 5(2)2•(3)1

(16)(2)(0)+(5)(2)(2)(3)(1)

16×2=32×0=0 + 5×2=10×2=20×3=60×1=60

0+60=60

Which number is less than 9 5/8

Answers

Answer:

9 1/10

Step-by-step explanation:

Which statement is an example of heat transfer by convection?

Jane's feet burned as she walked across the hot beach sand.

Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze.

The black asphalt of the parking lot was much warmer than the green grass surrounding the lot.

People were scattered across the beach, sitting on chairs and towels, warming themselves in the bright sunshine.

GIVING BRAINLIEST!!

Answers

Answer: Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze.

Step-by-step explanation:

sorry it's late but hopefully it will help others

what is 10 times smaller than 0.6

Answers

Answer:

0.06

Step-by-step explanation:

The answer is 0.06 because you are moving the number behind the decimal 10 times

Which equation represents line E, shown in the accompanying diagram?
A.)y=2x+3
B.)y=1/2x+3
C.)y=3x+1/2
D.)y=3x+2
Please help!!!!

Answers

Answer:

First, find the slope:

The slope is 1/2.

Now we have this much of the equation:

y = 1/2x + b

Plug in the point (0,3) to find the value of b

3 = (1/2)(0) + b

b = 3

Your final equation is y = 1/2x + 3.

Step-by-step explanation:

The equation of the line is y = x/2 + 3 which is passing through the points (-4, 1) and (0, 3) option (B) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The straight line is shown in the coordinate plane.

The equation of the line passing through the points:

(-4, 1) and (0, 3)

From the two-point we can find the equation of the line:

y - 3 = (3-1)/(0+4)[x]

y = 2/4[x] + 3

y = x/2 + 3

Thus, the equation of the line is y = x/2 + 3 which is passing through the points (-4, 1) and (0, 3) option (B) is correct.

Learn more about the linear equation here:

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Helppp!!!
37.37 x 7.6

Answers

Answer:

284.012

Step-by-step explanation:

Hope this awnsers your question!

Answer:

284.012

Step-by-step explanation:

HELPPPPPPPP!!!!!!!!!!

Answers

Answer:

answer is b your welcome

what's the c ??
easy question solve it and get points...
hints : a is 116 and b is 64​

Answers

Answer:

64 degrees

Step-by-step explanation:

It is the same amount of degrees as the original one.

Alexis has a rectangular piece of red paper that is 4 centimeters wide. Its length is twice its width. She glues a rectangular piece of blue paper on top of the red piece measuring 3 centimeters by 7 centimeters. How many square centimeters of red paper will be visible on top?

Answers

Answer:

11cm^2

Step-by-step explanation:

4x2=8 the missing width

4×8= 32

3×7=21

32-21=11

so it would be 11cm^2

What should I write for the explanation??plz help

Answers

Answer:

y = - 2 + [tex]\frac{1}{3}[/tex] x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (6, 0) ← 2 points on the line

m = [tex]\frac{0+2}{6-0}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = [tex]\frac{1}{3}[/tex] x - 2 , or

y = - 2 + [tex]\frac{1}{3}[/tex] x

Answer:

Proof

Step-by-step explanation:

"The y-intercept is - 2" and now I think the best way to prove the gradient is to prove it mathematically taking coordinates of the line and using:

[tex]m = \frac{y - y}{x - x} [/tex]

So I'll take the coordinates (6,0) and (0,-2) and substitute them in the formula for the gradient.

[tex]m = \frac{ - 2 - 0}{0 - 6} = \frac{ - 2}{ - 6} = \frac{1}{3} [/tex]

I hope this helps.

1/2(8x-20)=1/4(12x+32)

Answers

Answer:

x=18

Step-by-step explanation:

4x-10=3x+8

4x-3x

x-10=8

8+10

which Expression is equivalent to 11 + 22q + 22 - 5q?​ if correct, I'll reward brainlest

Answers

Answer:

I think it would be 33+27q

tell me if this helps! :)

Sorry if it doesn't though :(

Which inequalities have -0.5,2.5, and 4 as part of the solution set select all that apply? Z>-3 z<5 z<4 z_< 4 z>0

Answers

Answer:

Step-by-step explanation: 1 . z>-3

2. Z<5

Z<=4 the answer are 1,2,4

y-3x=-2 and 7x- 2y=8​

Answers

Answer:

thx for the free

Step-by-step explanation:

1. Slope intercept form is 2
2. Slope intercept y=7/2x-4


If you cut 10 ounces of butter into 2/5 ounce pieces, how many
2/5 pieces of butter will you have?

Answers

2/5 plus 2/5 is five so we can assume if we multiply it by 4 it will be 10! 2/5 times 4 equals 10!!! Hope this helps! :D

16/12 = x/3 what's x​

Answers

Answer:

16/12 = x/3

x = 4

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

16/12 = x/3

Cross multiply on both side

16×3=12x

48=12x

X=48/12

X=4

Value of X is 4

(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a state senate race. Let p represent the proportion of registered voters who would vote for the Republican candidate. Consider testing 0:=.50 H 0 : p = .50 :>.50 H a : p > .50 (a) The test statistic is z =

Answers

Answer:

The test statistic is Z = 1.157

Step-by-step explanation:

Given that:

The sample size n = 1200

The sample proportion of those that will vote for the Republican candidate is represented by [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{620}{1200}[/tex]

[tex]\hat p =0.5167[/tex]

The null and the alternative hypothesis can be computed as:

[tex]H_o: P=0.50 \\ \\ H_a :P>0.50[/tex]

The formula for the one-sample Z-test for the population proportion can be expressed as:

[tex]Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}[/tex]

[tex]Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}[/tex]

[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}[/tex]

[tex]Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}[/tex]

[tex]Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}[/tex]

Z = 1.157

Testing the hypothesis, from the information given, it is found that the test statistic is z = 1.157.

The null hypothesis is:

[tex]H_0: p = 0.5[/tex]

The alternative hypothesis is:

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.5, n = 1200, \overline{p} = \frac{620}{1200} = 0.5167[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.5167 - 0.5}{\sqrt{\frac{0.5(0.5)}{1200}}}[/tex]

[tex]z = 1.157[/tex]

The test statistic is z = 1.157.

A similar problem is given at https://brainly.com/question/24166849

Milan bought 13 pounds of rice for $7. How many dollars did he pay per pound of rice?

Answers

Answer:

$1.86

Step-by-step explanation:

You would do 13/7 which is 1.85714... which when rounded to the nearest hundredth is 1.86

Hope this helps!

Answer:

About $0.54 per pound

Step-by-step explanation:

7  ÷  13 = 0.538461

Heather claims that she can tell exactly how long a family was at the museum by how much the family pays for parking. Is Heather correct? Explain.​

Answers

Yes because they pay on how long they’ve been parked

can someone help me with this?

Answers

Answer:

X = 25

Step-by-step explanation:

As, 2x + 60° + 4x = 180° (bc they r supplementry)

So, 6x + 30° = 180°

6x = 180° - 30°

6x = 150°

x = 150/6

x = 25

Therefore, answer = 25

Please help me with this!!

Answers

Answer:

its B

Step-by-step explanation:

Six students bought exactly enough pens to share equally among themselves. Which of the following could be the number
of pens they bought?

Answers

Answer:

6 12 18 24 30 36 42 48 54 60

Step-by-step explanation:

Answer:

b. 48

i found the answer key lol

In ΔNOP, o = 3.6 cm, ∠N=119° and ∠O=5°. Find the length of n, to the nearest 10th of a centimeter.

Answers

Answer:

36.1

Step-by-step explanation:

Just did it on delta math

2. 3 2/5 ÷ 4/5
HELP PLS I NEED THE ANSWER

Answers

4.25 is DECIMAL FORM

17/4 is exact form

4 1/4 is mixed form

HOPE THIS HELPS :)

Emily bought 2 burgers and 4 drinks for $20. Deja bought 2 burgers and 2 drinks for $14. What was the cost of each burger and each drink? HURRY IN TEST RN

Answers

Burgers cost $4
Drinks cost $3

What is the volume of the figure?
10 cm
5 cm
8 cm
2 cm

Answers

78 .................
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