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

Evaluate the expression.
5 - (-9)

Answers

Answer:

14

Step-by-step explanation:

5 - ( - 9 ) = 5 + 9 = 14

The double negative becomes positive.

-Chetan K

Answer:

14

Step-by-step explanation:

Because 5-(-9) equals 5-1(-9) and when you multiply two negatives you get a positive, to solve just add 5 and 9

Hope this helps!

Elena, Lin, and Noah all found the area of Triangle Q to be 14 but they reasoned about it differently, as shown in the diagrams below. Pick one of the three students and explain their way of thinking and why his or her answer is correct. Make sure you identify which student you are explaining.

Answers

Answer:

yes it is

Step-by-step explanation:

At the beginning of the year, Grayson had $45 in savings and saved an additional $19 each week thereafter. Jacob started the year with $90 and saved $16 every week. Let GG represent the amount of money Grayson has saved tt weeks after the beginning of the year and let JJ represent the amount of money Jacob has saved tt weeks after the beginning of the year. Write an equation for each situation, in terms of t,t, and determine the who has more money saved after 18 weeks.

Answers

Answer:

The will have the same amount $ 387

Step-by-step explanation:

Grayson: y = 19x + 45

Jacob: y = 16x + 90

Grayson: y = 19(18) + 45

342 + 45 = $387

Jacob: y = 16(18) + 90

288 + 90 = $378

What is
[tex] {3}^{ - 2} [/tex]
as a fraction?​

Answers

Answer:





1 1/2


hope it helps

Use the triangles shown. The graph with X-coordinate marks -2, 0, 2, 4, 6, 8, 10, and 12. Y-coordinate marks -2, -1, 0, 2, and 4. There is triangle ABC with coordinates A at (-1, 3), B at (5, 5), C at (4, -2). There is triangle XYZ with coordinates X at (12, 2), Y at (7, 5), Z at (6, -2). Segment BC is parallel to segment YZ. What is the best description of the relationship between triangle ABC and triangle XYZ?

Answers

YZX is sooooooooooooooooooooooooooo easy

Solve for the given variable.

3s - 17 = 19

Answers

Add 17 to both sides-

3s - 17 = 19

+17 +17

Now, divide both sides by 3-

3s/3 = 36/3

Which gives the answer of s = 12

hope this helps !! :)

Help me please i need help

Answers

C because I checked all of the other answers and they were wrong. Please mark Brainliest

15.38 x 10-2 in standard form

Answers

Answer:

[tex]15.38 \times {10}^{ - 2} = 0.1538[/tex]

I hope I helped you^_^

15.38x10^-2 isn't proper scientific notation.

The coefficient must be between 1 and 10.

Proper scientific notation would be

1.538 x 10^-1

Convert into standard form:

0.5138 is our answer.

And we're done!

Hope it helps you! :)

[tex]-GraceRosalia[/tex]

Question: All of the following trigonometric functions have the same value except

Answers: Pick one.
cos180°
sin270°
tan90°

Answers

Answer:

[tex]\tan{90^{\circ}}[/tex]

Step-by-step explanation:

Because [tex]\cos{x}[/tex] and [tex]\sin{x}[/tex] are defined for all [tex]x[/tex](i.e. their domain is [tex](-\infty, \infty)[/tex]), so they can never be undefined. However, [tex]\tan{90}=\sin{90}/\cos{90}=\sin{90}/0[/tex], which is undefined, because you can't divide by [tex]0[/tex]. So, the answer is [tex]\boxed{\tan{90^{\circ}}}[/tex]

what is 8x6huhvgjjjjhhjhojhkojkljfkgjkjkgjkdfjkfdjtjrjgjhghhjghtrht4khtrgvgjbhhjjhjhjj

Answers

Answer:

48

Step-by-step explanation:

The answer to 8x6 is 48.

the correct answer to 8x6 is 48

Please help me with this question

Answers

Answer:

B

Step-by-step explanation:

The equation of the line f is y =4/9x+3/2.Line g is perpendicular to f. What is the slope of line g?

Answers

Answer:

-9/4

Step-by-step explanation:

A perpendicular slope is on that is the negative reciprocal. current slope=4/9 and the negative recipocal is -9/4.

How can I sign up for one on one tutoring and what is the cost

Answers

when you click on the tutoring tab it will show you all the details


58
4 25
What is the mixed number of decimals

Answers

Answer:

fun fact : by reading what i just right u just lost 5 sec of your life

Step-by-step explanation:

7. Conser the following graph of an absolute value function
Port A: Define the domain
Port : Define the range.
Part C. Where is the graph increasing
(-4,1, -2,3)
Part D: Where is the graph decreasing
Part E: EIdentify any relative maximums.
Part F: Identify any relative minimums.

Answers

Answer:

Step-by-step explanation:

someone please help me on this

Answers

Answer:

5.3 yds

Step-by-step explanation:

12/9=1.3

1.3 x 4 = 5.3

hope this helps :)

please crown me brainliest!!!

Help me with this please

Answers

$4.24. $4.99-15%($0.74)= $4.24

A side of the triangle below has been extended to form an exterior angle of 135º. Find
the value of x.
xo
135
115

Answers

Answer:

X = 45

Step-by-step explanation:

x + 135 = 180  {Linear pair}  

       x = 180 - 135          {Subtract 135 from both sides}  

       x = 45

Round 38,451 to the nearest..
Ten thousand:
Thousand:
Hundred:
Ren:

Answers

Answer:

Ten Thousand: 40000

Thousand: 38000

Hundred: 38500

Ren: what is ren-?

Step-by-step explanation:

Ten thousand: 40,000

Thousand: 38,000

Hundred: 38,500

Ten: 38,450

When you round you have to look to the number to the right of the number your rounding.

For example, to round 38,451 to the nearest ten thousand you find the ten thousand place (3) and look to the right or it and find that number (8). It the number to the right is 5 or more you round up. If the number is less then 5 it stays the same.

Just try to remember this…

5 or more, raise the score

4 or less let it rest.

8 is greater than 5 so the 3 turns to a 4 and you make everything behind the 4 zeros.

Now let’s try 38,451 rounded to the thousand. Look to the right and see that the number is 4. 4 or less let it rest, so the thousands place (8) stays the same. But don’t forget to make everything behind it zero

Hope this helped!

Could you mark brainliest please?

Use the graph and the translation (x,y) (x+1,y+4) to answer parts a and b below

Answers

Answer:

Use the translation formula to determine the new points.

A' → ( 5 + 4, -8 + 2) = ( 9, -6 )

B' →  ( 1 + 4, -1 +2) = ( 5, -1 )

C' →  ( -7 + 4, -3 + 2 ) = ( 3, -1 )

A' = (9, -6)

B' = (5, 1)

C' = (-3, -1)

One way to build stairs is to attach triangular blocks to an angled support, as shown at the right. If the support makes a 32° angle with the floor, what must mâ 1 be so the step will be parallel to the floor? The sides of the angled support are parallel. *

Answers

Answer: m∠1 = 32°
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°

Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630

Answers

Answer:

x=81

z=99

y=68

Step-by-step explanation:

63+36=99

180-99=81

x=81

Angles in a triangle sum to 180

180-81=99

z=99

Angles on a line sum to 180

99+13=112

180-112=68

y=68

Angles in a triangle sum to 180

Need help #1-3 please

Answers

Answer:

69 squared

Step-by-step explanation:

-7(1 - 5 p) = -35 + 7 p

Answers

Answer:

-7(1 - 5 p) = -35 + 7 p

p = -5/3 = -1.6666.... = -1 2/3

Step-by-step explanation:

Consider the graph of f(x).
12
10
-6
- 4
120
2 4 6 8
Which statements are true about tthe function represented by the graph?
Select all that apply.
The y-interceptis (0.-2).
The x-interceptis (0,5).
The domain of the function is (-3.3)
The domain of the function is all real numbers.

Answers

Answer:

The domain of the function is all real numbers.

Step-by-step explanation:

The answer is not A because the y-axis is the vertical (straight up and down) axis, and it crosses of that at positive 5.

The answer is not B because the x-axis is the horizontal axis, and it crosses that at negative 2.

Don't let them confuse you by saying the intercepts of one is the other!

It is also not C because the answer is D, we know this because the arrows at each end of the arrow signify that the line keeps going infinitely in each direction.

Hope this helps!

The theater sells two types of tickets: adult tickets for $14 and child tickets for $8.
Last night, the theater sold a total of 159 tickets for a total of $1794. How many adult tickets did the theater sell last night?

Answers

Answer:

87 Adult tickets were sold

Step-by-step explanation:

This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.

So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.

Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.

Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.

So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:

[tex]14x + 8y = 1794\\-8x - 8y = -1272[/tex]

This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.

A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a
cost of p dollars each is given by the polynomial – 3p2 + 610p. Find the revenue received when p
dollars.
50

Answers

Answer:

50

Step-by-step explanation:

-3p2+610p     p=50

-3(50)2+610(50)

-3x50^2+610x50

50(-3x50+610)

50(-610+610)

50x0

50

Graph ​y=4/7x−2​

help asap

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

Graph in pic

(Credits: Symbolab)

Evaluate this question

Answers

The answer to this question would be
-1/27
Because its 3 to the 3rd power.

Draw two distinct parallelograms, both with areas of 18 square units. The two parallelograms should not be identical copies of each other.

Answers

Answer:

you would need a square and a rectangle to equal that

Step-by-step explanation:

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