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

Someone pleaseee help me out with this question!!!

Answers

Answer:

51.2%

Step-by-step explanation:

I just reduced 20% each time starting with 100, so it became 51.2/100 or 51.2%

Answer:

c 48.8%

Step-by-step explanation:

the % of price reduction = 1-80%×80%×80%

=48.8%

Solve for n: 9^(n-1) = (1/3)^(4n-1) Show your work.

Answers

Answer:

n=1/2 after being simplified

Step-by-step explanation:

Use Division Distributive Property:

9^n-1=1/3^4n-1 then convert both sides to the same base

3^2(n-1) = 3^-(4n-1)

cancel the base of 3 on both sides

2(n-1) = -4n+1

then expand 2n-2=-4n+1

add 2 to both sides 2n=4n+1+2

simplify: -4n+1+2 to -4n+3

2n=-4n+3

add 4n to both sides: 2n+4n=3

simplify: 2n+4n to 6n

6n=3

divide both sides by 6

n=3/6

simplify and n=1/2

What is thissss someone help

Answers

Answer:

1. Neither

2. Odd

3. Odd

4. Even

Step-by-step explanation:

Graphically, an equation is even if it is symmetrical across the y-axis.  An equation is odd if it is symmetrical after folded over y and x.  An equation is neither if it fulfills neither requirement.

Algebraically, an equation is even is f(x) = f(-x), and an equation is odd if f(-x) = -f(x).

Hope it helps :) and let me know if you want me to elaborate.

How can I find 75% of any number?

Answers

Answer:

75% can be converted into a decimal, any percentage can.

Once converted, 75% is actually .75

At this point you can move the decimal place two place up, and put it over 100, in a fractal form

75/100  

You can then simplify this to

3/4  

You can then use this fraction as a conversion factor with any number, for example if we took the number 8

8∗3/4  

2∗3/1=6

Divide it into 75 groups

Consider the line with equation y=-2x + 2.
Can you write the equation of a line through
point (3,-4) that is perpendicular to the given line?

Answers

Answer:

[tex]m_{1} \times \frac{1}{m_{2}} = - 1 \\ m_{2} = \frac{1}{2} \\ \frac{1}{2} = \frac{y + 4}{x - 3} \\ 2y + 8 = x - 3 \\ 2y = x - 3 - 8 \\ 2y = x - 11 \\ y = \frac{1}{2} x - \frac{11}{2} [/tex]

11 3 ​ ×3 4 1 ​ =
Help please

Answers

Answer:

Exact Form:

77/ 3

Decimal Form:

25.6

Mixed Number Form:

25  2/3

Step-by-step explanation:

the thing is 11/3 times 3 4/1

Use this information to answer parts A, B, C, and D.
A 5-pound bag of carrots costs $2.69, and a 2-pound bag costs $1.89.

A) Which bag provides a greater weight per dollar spent?

B) How much does 10 pounds of carrots cost when purchasing 5-pound bags?

C) How much does 10 pounds of carrots cost when purchasing 2-pound bags?

D) What is the difference in price between each option when purchasing 10 pounds of carrots?

Answers

Answer:

A) la que cuesta $1.89

B)$5.68

C)$5.68

Step-by-step explanation:

3. (04.03 LC)
Identify the domain of the exponential function shown in the following graph: (2 points)

Answers

Answer:

x is greater than or equal to 0.

Step-by-step explanation:

The domain is just your X value. In contrast, the range is your Y value. Since we start at and include 0 on the X axis, we continue forever from there. Therefore, X is greater than or equal to 0.

Allen's score in a video game was changed by -75 points because he missed some targets. He got -15 points fro each missed target. How many targets did he miss?

Answers

He missed 5 targets in total
He missed 5 targets 75 divided by 15

Solve the inequality and graph the solution on the line provided. 3x+13<28

Answers

Answer:

x<5

Step-by-step explanation:

3x+13<28

Subtract 13 from each side

3x+13-13<28-13

3x < 15

Divide each side by 3

3x/3 <15/3

x < 5

There is an open circle and 5 and a line going to the left

HELP PLEASE!!
What is the value of x

Answers

X=-8 is your answer for this problem

please help me it's an 8 grade question​

Answers

It’s the third answer choice ✨

Write an equation of the line containing the given point and parallel to the given line.
(2, -3); 2x – 3y = 8

Answers

Answer:

I am not able to see your attachment

0.5 of what number is 12 and what is the equation to represent this problem? Include a variable

Answers

.5 means half. 12 x 2 is 24. so, your equation would be x/2=12

Ms. Janis teaches math to 254 students each day. she grades one paper for each student each day. if Ms. Janis teaches for 25 days this month, how many papers does she grade?

please help me​

Answers

Answer:

6,350

Step-by-step explanation:

254 times 25 is 6,350

Answer:

6350 Papers

Step-by-step explanation:

254 x 2 = 508

508 x 10 = 5080

(This is basically 254 x 20)

254 / 2 = 127

127 x 10 = 1270

(This is basically 254 x 5)

5080 + 1270 = 6350

Expand and simplify

3(x-y)+4(x+2y)​

Answers

Answer:

3x-3y+4x+8y

The answer is: 7+5y

Step-by-step explanation:

Step-by-step explanation:

3x-3y+4x+8y

3x+4x-3y+8y

7x+5y Ans

Only like terms can be simplified

???????????I need help

Answers

Answer:

17. first box- 88

second box- 176

18. first box- 9

second box- 5 5/8

Step-by-step explanation:

See photo.

Which of these sets of angle measures could be the three angles in a triangle? a 40, 50, 60 b 50, 60, 70 c 60, 70, 80 d 70,80, 90

Answers

Answer:

It’s going to be B. 50+60+70=180 which is how many degrees are in a triangle.

It would be B because 50 + 60 + 70 is 180

CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)

Answers

Answer:

3. 3/2

4. -1/3

5. -3.5

6. -6and 2/3

7. -18and 13/24

8. 1/18

9.-2.6

10.-1.83

11. 14.963

Step-by-step explanation:

HOPE THIS HELPS, if not see me in the comments

BRANILIEST PLZZZ

Which one of the following values of k makes the trinomial 9x^2 + kx + 64 a perfect square

a 24
b 48
c 16
d 42

Answers

Answer:

it is C 16

Step-by-step explanation:

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8)(x - 8)

 Foil (or distribute) to get: x² - 16x + 64 The k-value is 16

Can you help me find the missing sides and calculate the perimeter?

Answers

The bottom side is 1m and the side on the right is 2m because looking at the other sides all of the sides should be 10.

Step-by-step explanation:

pls help! reporting fake answers!! :)

Answers

Answer:

for #1... 5 cups of yellow paint

Step-by-step explanation:

If 2 blue need ten yellow then 1 blue would need half what 2 needs so 5 yellow for 1 blue

How to divided 2.1 by 12.6

Answers

Answer:

0.1666666666666667

Step-by-step explanation:

2.1/12.6

Answer 0.16666666666666667

A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.

Answers

Answer:

14

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 

 Width is 4 cm less than the length, so w = L-4

 

  36 = 2L + 2(L-4)

 

 36 = 2L + 2L - 8

 

 36 = 4L - 8

 

44 = 4L

 

 L = 11

 

w = 7

 

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7

PLSSSSS HEEEELP MEEEE :<

Answers

Answer:

x=22

Step-by-step explanation:

From the theorem of Z angles you can find that the sum of both given angles must equal 180.

So solve: 2x-26 + 7x+8 = 180

Simplify:

9x -18 = 180

9x = 198

x = 198/9 = 22

please help i do not get it

Answers

your starting temperature was 29 degrees. it drops 5 degrees every hour. let the hours be X.

so, 29-5x would be the equation.

answer: 29-40 = -11. :)

explanation: multiply 5 times 8, because 9am to 4pm is 8 hours. this is 40. take your starting temp, 29 minus 40.

hope this helps

Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

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

Geometric proofs. I just don’t understand it and my teacher isn’t helping.

Answers

The midpoint of a line can be represented by the point that is in the very center of the line. A line segment such as AT also represents half of the line. The symbol of the tilde with the equal sign underneath represents congruence meaning the two segments are the same. Therefore each equation shows the same true statement in a different form

Simplify: A. 35/6 B. 29/6 C. 12/5 D. 1/6

Answers

Answer:

[tex] \frac{49 - 3}{6} + \frac{24 - 17}{3} = \frac{46}{6} + \frac{7}{3} = \frac{46 + 7 \times 2}{6} = \frac{60}{6} = 10[/tex]

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