The admission fee at an amusement park is $15.50 for children and $20.00 for adults. One day 217 people entered the park and the total admissions fees collected was $3.782
Define your variables as
"C" = # of children
"a" = # of adults
Write a system of equations to represent this information solve the system to find out how many children and how many adults came to the amusement park that day.

Answers

Answer 1

Answer:

Children = 124

Adults = 93

Step-by-step explanation:

x = children

y = adults

x + y = 217

x = 217 - y

15.50x + 20y = 3782

15.50 (217-y) + 20y = 3782

3363.50 - 15.50y + 20y = 3782

4.5y = 3782 - 3363:50

y = 418.50/4.5

y = 93

x + 93 = 217

x = 217 - 93

x = 124


Related Questions

If x^2= 20 what is the value of x

Answers

x^2 = 20.

sqrt(x^2) = sqrt(20)

x = +- 2sqrt(5)

Answer:

2[tex]\sqrt{5}[/tex] and -2[tex]\sqrt{5}[/tex]

What is the solution to the equation?

3(x+9)^3/4=24

Answers

Answer:

The solution is x= 2 cubic root 4 -9 or -5.825

Step-by-step explanation:

3(x+9)^3/4=24

3(x^3 + 27)/4=24

3x^3+81/4=24

0.75x^3 +20.25=24

0.75x^3=2.75

x= 2 cubic root 4 -9 or -5.825

u=3b-2a+2 for a
please I need the answer step-by-step..
100 points

Answers

Answer:

u-3b-2 = a

     2

Step-by-step explanation:

Step by step:

u=3b-2a+2

u-3b=-2a+2

u-3b-2=2a

answer:

u-3b-2 = a

    2

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Let's solve for variable a ~

[tex]u = 3b - 2a + 2[/tex]

[tex]u + 2 a = 3b + 2[/tex]

[tex]2a = 3b + 2 - u[/tex]

[tex]a = \dfrac{3b - u + 2}{2} [/tex]

Identify the initial condition and the rate of change

y=−5x+32

Answers

the number next to x is rate of change, so in this case -5, and the number thats alone is the initial so 32. So ans A is correct.

for the given graph :

y = -5x + 32

rate of change = -5

Initial condition = 32

8 /13 convert the following rational number into decimal form​

Answers

Answer:  0.615

Step-by-step explanation:

actually do the division.

you will need a calculator most of the time.

8/13 = 0.615

Please someone help me with these! Mark brainliest !

Answers

Answer:

4.) Cost of cordless phone = $55

cost of each additional handset = $25  

Therefore, the overall cost of the cordless phone, including the 3 extra handsets is:

$55 + 3($25) = $55 + $75 = $130

5.) Given the function, f(d ) = .20d + 14, where:

f(d) = global temperature (in Celsius)

d = number of decades  

To evaluate the value of f (d ) at f(10), you'll have to substitute the value of d = 10 as input into the function:

f(10) = .20(10) + 14

f(10) = 2 + 14

f(10) = 16

6.) Value of f(10):

    In 10 decades, the predicted global temperature will be 16° Celsius.

7.) The correct answer is B. The global temperature f(d) depends on the number of decades, d.

Explanation: the independent variable is d →  it is the input of the function. The output primarily depends on the given value of input.

8.) Given the function, f(t ) = 0.2t

where t = represents number of days elapsed since the planting of the seed.

         Evaluate f(40):

        f(40) = 0.2(40)

        f(40) = 8

Context of f(40): The value of the function, f(40) = 8 represents the 8 centimeter height of the habanero plant after 40 days of planting its seeds.  

Please mark my answers as the Brainliest, if you find my explanations helpful :)

will give brainlist 2 best answer
Reflect (7, 3) in (a) the x-axis and (b) the y-axis.
a. x-axis reflection: ( , )
b. y-axis reflection: ( , )

Answers

Answer:

(a) (7, -3)

(b) (-7, 3)

Step-by-step explanation:

A teacher receives a monthly salary of $2800.00 What is her annual salary?​

Answers

Answer:

33600

Step-by-step explanation:

2800×12=33600....

Question
Which of the following values are in the range of the function graphed below?
Check all that apply.

A. 2
B. 1
C. O
D. 4
E-4
F. -1

Answers

Range means all y values of the function.

The answer is E. -4

Prove the following relations: 1) (1 - cos²A) (1 + tan²A) = tan²A​

Answers

Step-by-step explanation:

(1 - cos²A)(1 + tan²A) = tan²A

1 + tan²A - cos²A - cos²A · tan²A = tan²A

1 + tan²A(1 - cos²A) - cos²A = tan²A

1 - cos²A + tan²A(sin²A) = tan²A

sin²A + tan²A(sin²A) = tan²A

sin²A (1 + tan²A) = tan²A

sin²A (sec²A) = tan²A

sin²A (1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

Evaluate the expression
-2(12 – 2(-4))?

Answers

The answer is -40

-2(12-2(-4))
-2(12+8)
-2x20
-2x20 = -40

х

13

14

15

16

у

11

6 1-4

What is the slope

Answers

Answer:

6

Step-by-step explanation:

Hope this helps

Find the value of x.

Answers

Answer:

for this problem we use the sine function

[tex] \sin(x) = \frac{opp}{hyp} \\ \sin(38 ) = \frac{x}{100} [/tex]

multiply both sides of the equation by 100

[tex]100 \sin(38) = \frac{100x}{100} [/tex]

100 cancels on the right hand side of the equation

[tex]100 \sin(38) = x \\ x = 61.566\:ft[/tex]

why tHE F is MATH HARD KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

well it isn't hard

have a nice day

which of the following fractions is equivalent to 75%

Answers

Answer:

Where are the fractions?

Step-by-step explanation:

There's 3/4, 9/12, 27/36, etc

Answer:

3/4

Step-by-step explanation:

First you would take 75/100 and than simplify that down so you get 3/4

To isolate the variable in 1/4x multiply by _ or divide by _

Answers

Answer:  To isolate the variable in ¹/₄ x multiply by 4 or divide by 1

Step-by-step explanation:

              Let                  ¹/₄ x = a

multiply by 4:          4 (¹/₄) x  = 4 a

                                      1  x  = 4 a

divide by 1:                    ¹/₁ x  = ⁴/₁ a

                                          x  = 4a    [x is now isolated]

             

To isolate the variable in 1/4x multiply by 4 or divide by 1/4

How to isolate the variable in 1/4x

From the question, we have the following parameters that can be used in our computation:

Expression = 1/4x

To isolate the variable in 1/4x, we multiply by 4

So, we have

Expression = 1/4x * 4

Expression = x

OR

To isolate the variable in 1/4x, we divide by 1/4

Expression = 1/4x / 1/4

Expression = x

Read more about expressions at

https://brainly.com/question/30492964

#SPJ3

resolver el sistema x-y =6 y este otro 2x+5y= -2 porfaaaa es para mañana

Answers

Answer:

x =4

y = -2

Step-by-step explanation:

a) x - y = 6

b) 2x + 5y = - 2

a) x = y + 6

b) 2(y+6) + 5y = -2

2y + 12 + 5y = -2

7y = -2 -12

y = -14/7

y = -2

a) x - (-2) = 6

x +2 = 6

x = 6-2

x = 4

Pls help Evaluate (7-3) = 2

Answers

Answer:

2

Step-by-step explanation:

subtract the. divide it once

Answer: 4 = 2

Step-by-step explanation:

1. (7-3) = 4

2. 4=2

help me please WORTH 20 POINTS

Answers

Answer:

1

Step-by-step explanation:

7. Write the statements "If you add 3 to one-third of a number, you get 30"
in the form of equations:
(a) x + 3 = 30
(D) x + 3 = 30
(C) x + 3 = 30
(d) none of these

Answers

Answer:

???? none- they're all the same and there's no 1/3

How does a sequence of translations , relections , and rotations result in congreunt figures

Answers

Answer:

if the size (and shape) of the figure doesn't change then it's congruent

Step-by-step explanation:

What is the range of the function f(x) = 3x + 2
when the domain is {-2,-1,2}?

Answers

Answer:

Im going to give them as ordered pairs, you can pick out the range (Y values): (-2,-4), (-1,-1), (2,8)

Step-by-step explanation:

All that needs to be done for this problem is one thing: substitute the given domain values for the "x" in the equation. Domain is just a fancy way of saying x coordinate. All f(x) is is "function of x." This can still be your Y coordinate, or your range. I hope this process helps!

A line has slope −5/3. Through which two points could this line pass?


A: (11, 13) & (8, 18)

B: (12, 13) & (17, 10)

C: (16, 15) & (13, 10)

D: (0, 7) & (3, 10)

Answers

Answer:

A:

Step-by-step explanation:

[tex]m=\frac{18-13}{8-11} =\frac{5}{-3} =-\frac{5}{3}[/tex]

I hope this help you

For brainily please help :/

Answers

Answer: no

Step-by-step explanation: triangle inequality theory.

2.8+3.5 is not larger than 6.9 so this cannot be the sides of a triangle.

what does this q equal

Answers

Answer:

30 degrees

Step-by-step explanation:

Since all triangles' angles add up to 180 degrees, you can add the sum of the angles you already know and subtract it from 180.

126+24=150

180-150=30

so angle Q = 30 degrees

the answer to your question, the Q equals 30 degrees.

can you help me with these:
1: 2/3x=-8
2: -4.5= - 0.15p
3: 2 1/3c=2 1/10
4: 3m + 5 =14
5: -2k +7 = -3
6: 11 = 1/3a +2
ILL GIVE BRAINLY T WHOEVER DOES ALL THEM AND SHOWS WORK!

Answers

Answer:

1. x= -12

2.p= 30

3.c= 9/10 or c= 0.9

4.m= 3

5.k= 5

6.a= 27

Step-by-step explanation:

Please help me out I really can’t afford failing this test

Answers

Answer:

I'm not really sure but I think it's 2

Step-by-step explanation:

So here's what I did;

x³+3x-9=x - 1 +2x

x³+3x - x -2x = 9 - 1

x³= 8

x = ³√8

x = 2

I hope this helps

Factor the polynomial x^2 + 4x + 4 ​

Answers

x^2 + 4x + 4 = (x+2)^2

If you have 20 dollars how much more will you need to get to 43?

Answers

Answer: $23

Explanation: 43 - 20 = 23

Determine if (0,-5) is a
solution to the equation
y = -5x

Answers

Plug (0,-5) into the equation -

-5 = -5(0)

-5 times 0 is 0

-5 = 0

(0,-5) is NOT a solution to the equation.

Good luck!

Answer:

No, it is not the solution to the equation.

Step-by-step explanation:

(0, -5)

y = -5x

So we have to plug in the values for x and y. 0 is our x value and -5 is our y value.

-5 = -5(0)

-5 = 0

Therefore, (0, -5) is not a solution to the equation

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