REINFORCE Tickets to the zoo cost $18 for adults and $8.25 for children. One day, the zoo sold 2,300 tickets and collected $30,168 in ticket sales. How many children and how many adults attended the zoo that day? Write a system and solve it by graphing. Be sure to sketch you graph, give the solution, and define your variables.

Answers

Answer 1

Given:

The cost of adults ticket = $18

The cost of children's ticket = $8.25

Total tickets = 2300

Total revenue = $30,168.

To find:

The number of children and number of adults attended the zoo that day.

Solution:

Let x be the number of children and y be the number of adults.

Equation for tickets: [tex]x+y=2300[/tex]                  ...(i)

Equation for revenue: [tex]18x+8.25y=30168[/tex]        ...(ii)

Plot the graphs of the given equations on a coordinate plane as shown below.

From the graph it is clear that the graph of both equations intersect each other at (1148,1152).

It means the number of adults is 1148 and the number of children is 1152.

It can be solved algebraically as shown below:

Substitute the value of y in (ii) from (i).

[tex]18x+8.25(2300-x)=30168[/tex]

[tex]18x+18975-8.25x=30168[/tex]

[tex]9.75x=30168-18975[/tex]

[tex]9.75x=11193[/tex]

Divide both sides by 9.75.

[tex]x=\dfrac{11193}{9.75}[/tex]

[tex]x=1148[/tex]

Putting [tex]x=1148[/tex] in (i),  we get

[tex]1148+y=2300[/tex]

[tex]y=2300-1148[/tex]

[tex]y=1152[/tex]

Therefore, the number of adults is 1148 and the number of children is 1152.

REINFORCE Tickets To The Zoo Cost $18 For Adults And $8.25 For Children. One Day, The Zoo Sold 2,300

Related Questions

Mai put $4,250 in the bank for a rate of 4% simple interest per year. After
3 years, what will be the balance of her bank account?
0

Answers

Answer:

4760

Step-by-step explanation:

Simple interest formula:

PV(1+it)

4250(1+.04*3)=4760

PLS HELP ILL GIVE BRAINLIEST
What are the coordinates of the center of the ellipse?

Answers

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

True or False:
A cube root is when you think about what number multiplies by itself 4 times to give us that number.

Answers

Answer:

False. It's 3 times.

Step-by-step explanation:

Halla el volumen del siguiente prisma triangular...​

Answers

Answer:

El volumen del prisma triangular es 110 centímetros cúbicos.

Step-by-step explanation:

El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:

[tex]V = A\cdot z[/tex]

[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)

Donde:

[tex]b[/tex] - Base del triángulo, en centímetros.

[tex]h[/tex] - Altura del triángulo, en centímetros.

Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:

[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]

[tex]V = 110\,cm^{3}[/tex]

El volumen del prisma triangular es 110 centímetros cúbicos.

DESPERATE, PLEASE ANSWER FAST
(multiple choice answer)
Which associations best describe the scatter plot?

Select each correct answer.


Linear association

Nonlinear association

Negative association

Positive association

Answers

Answer:

Nonlinear association

Step-by-step explanation:

Who want points and brainlist just answer quick............

Answers

Answer: 1/16

Step-by-step explanation:

Rick buys a spatula costing $2.23. He gives the cashier $5.00. The cashier gives him his change using the least number of coins and bills possible. How many of each coin or bill does he receive?

Answers

Answer:

2 Dollar Bills

3 quarters

2 pennies

What can you say about the size of the angles of similar triangles?​

Answers

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

If a card is drawn at random from a standard 52-card deck, what is the probability that
the card drawn is:
Note: Give your answer as a fraction in simplest form or as a decimal rounded to the
nearest thousandths place.
a) a face card?
b) a red card?
c) a queen?
d) a club?
e) an Ace or 10?

Answers

Answer:

a) 12/52 = 3/14

b) 26/52 = 1/2

c) 4/52 = 1/13

d) 13/52 = 1/4

e) 8/52 = 2/13

Step-by-step explanation:

a) there are 12 face cards and 52 in the deck

b) half the cards are red, the other half black

c) one queen in each of four suits

d) the deck is broken up into 4 equal suits (hearts, diamonds, spades, clubs) so there are 13 of each.

e) like the answer in part C, there is one of each card in each of the four suits. that gives us four aces and four tens.

IM BEING TIMES HELPPPPPPPP THANK YOUUUUUUU

Answers

Answer:

1. make both equal, so...

-14/24 + 9/24

=-5/24

Step-by-step explanation:

Which expression is equivalent to v147?

Answers

7v3 is the radical simplified... to do this you can use multiple methods. I like to use a factor tree.

Here’s a link to a website that explains some different methods of solving:

http://m.moomoomath.com/?url=http://www%2emoomoomath%2ecom%2fsimplyfing%2dradicals%2ehtml#2653

Determine the period.

Answers

Answer:

the period is the to top points of the highest points on top of the crests

The period of function is,

P = 5

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 10/2

P = 5

Because there is two wave are shown.

Therefore, The period of function is,

P = 5

Learn more about the function visit:

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Please help!
Factor 4x^2-16x

Answers

4x (x-4) Hope this at least helps!

Answer:

Step-by-step explanation: 3 because 4x2=8  so you would have to do 8x4 =32

Every 3 months, homeowners in boise pay $46.00 for services provided by the city. How much do homeowners pay in one year? (1 year = 12 months)

Answers

Answer: 184.00

Step-by-step explanation: you have to see how many times are there 3 months in one year you divide 12 divided by 3 which equals 4 and 46 times 4

Answer: $184,00

Step-by-step explanation

The day before yesterday I was 25. The next year I will be 28. This is true only one day in a year. What day is my Birthday?

Answers

Yesterday was your birthday. (May 29)

A survey went out asking consumers about their shopping habits. The results showed that
165 people were more likely to go to a store if they had a coupon. This represents 66% of
the total number of people who took the survey
How many people took the survey?
F: 25
G: 109
H: 199
J: 250

Answers

Answer:

G

Step-by-step explanation:

In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.

[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109

G is your answer!! Hope this is right

One serving of Mike’s crackers has 150 calories and a mass of 30 grams.

How many calories are in 6 grams of the crackers?

Answers

Step-by-step explanation:

You need to times it, so 150 x 30, and then whatever it is, thata the answer

HOW TO DO THIS QUESTION ​

Answers

Answer:

8 : 2.5

Step-by-step explanation:

3√512:  Convert the decimal into an equivalent fraction You can also use a calculate to divide 1 by the fraction.

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

3.2 : 1

Step-by-step explanation:

Given

[tex]\sqrt[3]{512}[/tex] : [tex]\frac{1}{0.4}[/tex]

= 8 : 2.5 ( divide both parts by 2.5 )

= 3.2 : 1

write a point-slope equation for the line that has slope 4 and passes through the point (11.7)

Answers

Answer:

y-7=4(x-11)

Step-by-step explanation:

PLSSS HELP GIVING BRAINLIEST
Richard has a bag of blocks. Without looking in the bag, he selects a block, records its color, and puts it back in the bag. All blocks are equally likely to be chosen. He performs the process 50 times. In the 50 trials, he records the following colors of blocks from the bag. Number of times a yellow block was chosen 12 Number of times a red block was chosen 11 Number of times a green block was chosen 16 Number of times a blue block was chosen 5 Number of times a orange block was chosen 6 Based on the data Richard collected, what is the estimated probability, in simplest form, of choosing a green block from the bag? 8 25 O B. 16 100 C. 25 D. 8 100​

Answers

Answer:

C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is c 16/100

A square is rotated clockwise about center point P.
Click on all the degrees of rotation that will carry the square onto itself,
45

900
120
135
180
225
240
270
315
360

Answers

The degrees of rotation that will carry the square onto itself are,

⇒ 90°, 180°, 270°, 360°

Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.

Given here:

A square is rotated clockwise about center point P.

Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.

So if you take 360/4 you get 90 degree rotations to each consecutive vertex.

or more specifically;

= 360/4

= 90

Hence, the square will coincide itself after every integral multiple of 90.

Thus, 90°, 180°, 270°, 360° are the required angles of rotation.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

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Nell writes the expression (3.6x +6)-4. She rewrites the expression using the associative property. Which expression could Nell have written using the associative property?

A.) 5.6x
B.) 9.6x-4
C.) 3.6+(6-4)
D.) 3.6(x+6)-4

Answers

Answer:

C.)  3.6 + (6 - 4)

Step-by-step explanation:

It cost $16.80 for a half dozen cookies. How much does one cookie cost?

Answers

i think it’s 36 cents or .357
I hope this answer is right.
A half dozen= 6
So 16.80/6 = $2.80
Please mark me brainliest if I got it correct:)

Which of the following correctly combines these terms? 3a + 6b - 7a + (-3b) + 9c
F. 8abc
G. 4a " 3b + 9c
H. 8 + abc
I. -4a + 3b + 9c

Answers

Answer:

I

Step-by-step explanation:

We have to added up the like therms

like therms are therms with the same literal parts

3a - 7a = -4a

6b-3b= 3b

-4a + 3b+ 9c

Select the correct answer.
Find the value of g(7) for the function below.
g(x) = zur

Answers

Answer:

B

Step-by-step explanation:

To evaluate g(7) substitute x = 7 into g(x) , that is

g(7) = [tex]\frac{7}{8}[/tex] × 7 - [tex]\frac{1}{2}[/tex]

      = [tex]\frac{49}{8}[/tex] - [tex]\frac{4}{8}[/tex]

      = [tex]\frac{45}{8}[/tex] → B

Please help me find the mean and the range.

Answers

mean: 5.5 hours

range: 7.9 hours

Can anyone help on this i don't understand it
the chooses for the choose is
15
12
10
14
11
13
9

Answers

median means the middle number and mode means which number appears the most

Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values of x outside the range of the observed data is called

Answers

Answer:

Extrapolation

Step-by-step explanation:

Given

[tex]x \to[/tex] Explanatory variable

[tex]y \to[/tex] Response variable

Required

Predicting y outside range of x is called

This is referred to as extrapolation.

Take for instance, the range of x is: 1 - 9

You have extrapolated when, 10 is assumed to be the value of x and this value is entered in an equation to predict y.

Why are 1966 pennies worth almost $20?

Answers

Answer:

its because 1966 pennies are made from 95% copper and 5% zinc but they are mainly worth 10 to 20 cents each penny.

Step-by-step explanation:

Please help me I will give 30 points

Answers

Answer:

a, c, & d

Step-by-step explanation:

-6,1 , 0,5 , 1,7 hope this help

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