1. A drama club earned $662.50 from a production where 85 adult tickets were sold and 65
student tickets were sold. An adult ticket costs $2.50 more than a student ticket. Which
system of equations can be used to find a, the cost of an adult ticket, and s, the cost of a
student ticket?

Answers

Answer 1

Answer: The cost of adult ticket is $6.1 and that of student ticket is $2.44

Step-by-step explanation:

Let the cost of adult ticket be 'x' and cost of student ticket be 'y'

From the question, the equations formed are:

[tex]662.5=85x+65y[/tex]                .....(1)

[tex]x=2.5y[/tex]                                ......(2)

Putting value of 'y' from equation 2 to equation 1:

[tex]662.5=85(2.5x)+65y\\\\662.5=271.5y\\\\y=\frac{662.5}{271.5}=\$ 2.44[/tex]

Now, solving for 'x', we get:

[tex]x=2.5(2.44)=\$ 6.1[/tex]

Hence, the cost of adult ticket is $6.1 and that of student ticket is $2.44


Related Questions

FIND ALL THREE ANGLES

Answers

Answer:

Austin = 38

Atlanta = 89

Chicago = 89

Step-by-step explanation:

First, solve for x. All angles together equal 180. Set your formula up as

180 = 2x - 12 + 2x + 3 + 4x - 11

180 = 8x -20

180 + 20 = 8x

200 = 8x

200 / 8 = x

25 = x

Now substitute 25 in place of x

Austin

2x - 12

2*25-12 = 38

Atlanta

4x-11

4*25-11 = 89

Chicago

2x+3

2*25+3 = 53

Add all your angles together to check your work  

1. A resident lot has the shape of a parallelogram. Its base measures 20 meters. The distance between the
parallel sides is 8 meters. What is the area of the lot?​

Answers

Answer:

160 m²

Step-by-step explanation:

Given :

A parallelogram shaped lot :

Base of lot = 20 m

Distance between parallel sides, = height of lot = 8 m

The area of the lot can be obtained using the area formula of a parallelogram :

Area = base * height

Area = 20 m * 8 m

Area = 160 m²

Please help me with this math word problem

Answers

Answer: The cost of 16 pencils and 10 notebooks is $5.84.


Explanation: You can solve this using linear systems:

Let X be the cost per pencil, and let Y be the cost per notebook.

(1) 7x+8y=4.15
(2) 5x+3y=1.77

Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.

Equation 1 now becomes:

(3) 35x+40y=20.75

Equation 2 now becomes:

(4) 35x+21y=12.39

Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!

(3)-(4)

19y=8.36
y=0.44

Now that you have the value of Y, substitute that value into either one of the equations to get X.

Substitute y=0.44 in (1)

7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09

Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.

Almost done lol...

To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.

To find the total price, add these values together!

1.44+4.40=5.84

Therefore, the cost of 16 pencils and 10 notebooks is $5.84.

Hope that helps シ

Evaluate the expression when a = 7 and c= -4.
-a+5c
pls help

Answers

Answer:

-27

Step-by-step explanation:

a = 7 and c = -4

- a + 5 c

- ( 7 ) + 5 ( - 4 )

- 7 - 20

- 27

what is the slope of the line that passes through these two points?​

Answers

Answer:

The answer seems to be 3/1.

Step-by-step explanation:

Use the equation:

(y2-y1)/(x2-x1)

Question 14 of 14
Which expression gives the distance between the points
(1,-2) and (2, 4)?
O A. (1+23° +(2-47
O B. (1-2)*+(-2-4)
O c. 111-23 +4:32-47
O D. Hit+2y +(2-479

Answers

Answer:

c

Step-by-step explanation:

Does a even number have any related numbers that are odd like 3 or 7?

Answers

Answer:

I do not think that there is any even numbers related to odd numbers

CHECK MY ANSWERS PLEASE

Kevin's savings account balance changed from $1140 in January to $1450 in April. Find the average rate of change per month. Round your answer to the nearest dollar.


$78 per month

$50 per month

$310 per month

$103 per month*****

Answers

Answer:

yessss that's correct!

Step-by-step explanation:

It is $310 in total change, but then you have to divide by 3 for all 3 months. So the average rate of change is $103 more each month.

if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value

Answers

Answer = mean, the mean is an average of the data. On the other hand, the median accounts for the middle value of sets of numbers. It would make more sense if you would report the average of salaries for different occupations.

(3x^ - 6x +11) - (10x^ - 4x + 6)

Answers

Answer:

3x−6x+11−(10x−4x+6)

=5x10−10x7+3x5

         x10

=5x5−10x2+3

      x5

Step-by-step explanation:

i hope this helps and i hope you understand this, sorry if you dont understand

Which fraction is closest to 1/2?
A:1/6
B:3/8
C:3/4
D:-1/2

Answers

B. 3/8 is the answer




which statement is true? please help!

Answers

First one maybe I’m not too sure

Suppose that a population parameter is 0.3, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values? O A. 0.4 O B. 0.1 O C. 0.3 O D. 0.2 SUBMIT​

Answers

Using the Central Limit Theorem, it is found that the mean of the sample proportions would approach 0.3, hence option C is correct.

What does the Central Limit Theorem states?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

In this problem, we have that the parameter is p = 0.3, hence the mean of the sample proportions would approach 0.3 and option C is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

#SPJ1

Solve for X.
12x − 39 ≤ 9 AND −4x + 3 < −6
Choose 1 answer:
A. x ≥ 4
B. 9/4 < x < 4
C. x > -9/4
D. There are no solutions.
E. All values of X are solutions.

Answers

Answer: D.There is no answer.

Step-by-step explanation:

2. Graph on a coordinate plane or explain how to graph: x = 5

Answers

Answer:

x = 5 is a vertical line at x = 5

Twain's decision to end "The War Prayer" with the townspeople ignoring what
the stranger said is a good example of
A. irony
B. polyptoton
C. coincidence
D. parallelism
SUBMIT

Answers

I think the answer would be A, the meaning of irony is the expression of one’s meaning by using language that normally signifies the opposite, typically for humorous or emphatic effect.

Answer:

Irony

Explanation:

I just took the test

the graph of y= -2x + 11 is:

Answers

Answer:

D. a line that shows only one solution to the equation

Step-by-step explanation:

I hope this helps uwu.

which expression is equivalent to (4 - 3i) + (-2 + 10i)?

A. 9i
B. -9i
C. 2+7i
D. 2-13i

Answers

Answer:

C. 2+7i

Step-by-step explanation:

(4 - 3i) + (-2 + 10i)

Combine like terms

4-2   -3i +10i

2    +7i

Answer: The answer is C, 2 + 7i

Step-by-step explanation:

Without using mathematical table or calculator simplify 3 4/9 ÷(5 1/3 _ 2 3/4) + 5 9/10​

Answers

Answer:

[tex]{ \tt{3 \frac{4}{9} \div (5 \frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} }} \\ \\ = { \tt{ \frac{31}{9} \div ( \frac{31}{12} ) + \frac{59}{10} }} \\ \\ { \tt{ = \frac{4}{3} + \frac{59}{10} }} \\ \\ { \bf{ = \frac{217}{30} }} \\ \\ { \boxed{ \tt{answer : 7 \frac{7}{30} }}} \\ \\ { \underline{ \blue{ \tt{becker ⚜jnr}}}}[/tex]

Answer:

[tex]7 \frac{7}{30}[/tex]

Step-by-step explanation:

[tex]3 \frac{4}{9} \div ( 5\frac{1}{3} - 2 \frac{3}{4}) + 5 \frac{9}{10}\\\\\frac{31}{9} \div (\frac{16}{3} - \frac{11}{4} ) + \frac{59}{10} \\\\\\Solving \ using \ BODMAS\\\\First \ Solve \ expression \ inside \ Bracket \\\\\frac{31}{9} \div (\frac{(16 \times 4) - ( 11 \times 3)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div (\frac{64- 33)}{12}) + \frac{59}{10} \\\\\frac{31}{9} \div \frac{31}{12} + \frac{59}{10} \\\\\\ \\\\\\Next \ solve \ Dvision \\\\\frac{\frac{31}{9}}{\frac{31}{12}} + \frac{59}{10}\\\\[/tex]

[tex](\frac{31}{9}} \times {\frac{12}{31}) + \frac{59}{10}[/tex]

[tex]\frac{4}{3} + \frac{59}{10}\\\\ Now \ solve \ final \ expression \\\\\\\frac{(4 \times 10) + ( 59 \times 3)}{30}\\\\\frac{40 + 177}{30}\\\\\frac{217}{30}\\\\7 \frac{7}{30}[/tex]

1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2.
6
2
2
1
4
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."

Answers

Answer:

Step-by-step explanation:

What Jada needs is a tank which gives him a higher or greater probability of selecting an even number :

Tennis balls :

Total outcome = 10

Even outcomes = (2, 4) = 2

Golf balls :

Total outcome = 10

Even outcomes = (4,2,6,2,2,4,8) = 7

Probability = number of outcomes / number of trials

For tennis balls

P(even) = 2 / 10 = 0.5

For golf :

P(even) = 7/10 = 0.

Triangle B C D is shown. Angle C D B is a right angle. Altitude a is drawn from point D to point E on side C B, forming a right angle. B D is labeled c and C D is labeled D. The length of B E is 18 and the length of E C is 4.
What is the value of a?

6 StartRoot 2 EndRoot
9
8 StartRoot 3 EndRoot
36 StartRoot 2 EndRoot

Answers

Answer:

6√2

6 StartRoot 2 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem or leg geometric mean theorem :

The hypotenus = 18 + 4 = 22

Leg 1 = b

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

22 / b = b / 4

Cross multiply :

b * b = 22 * 4

b² = 88

b = √88 = √88 = √4 * √22 = 2√22

From Pythagoras :

a² = b² - 4²

a² = (√88)² - 16

a² = 88 - 16

a² = 72

a = √72 = √36 * √2 = 6√2

Answer:

A

Step-by-step explanation:

edge2021

can someone help me please

Answers

Answer:  104 square feet

=========================================================

Explanation:

The horizontal pieces are the parallel bases

b1 = 17 and b2 = 9

The height is always perpendicular to the base, so h = 8

The 4 ft portion won't be used in the next section, so we can ignore it.

---------

Plug the values mentioned into the trapezoid area formula below. Simplify.

A = h*(b1+b2)/2

A = 8*(17+9)/2

A = 8*26/2

A = 8*13

A = 104 square feet

We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.

----------

As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.

Explain how to do this and provide with an answer.

Answers

Answer:

V=480m^2

Step-by-step explanation:


Class 5A can complete a project in 15 days while class 5B needs twice that amount of time. To complete this project before the summer festival, both class 5A and class 5B need to work together. Due to other tasks, class 5A has to leave for 3 days while class 5B has to leave for 6 days. Knowing that both classes do not leave at the same time, and they do work together on some days, what is the total number of days taken to complete this project? ​

Answers

Answer:

it takne 23 days to complete it I hope it is clear add all the no

What is the slope of the line in the graph?

Answers

The easiest way to find slope is to look at your first point and count how many boxes it is going up and then to the side. It's always going to be the rise over run. The awnser to this question is 2/1 or just 2.

If Volume of a Prism=36 m3

, then what is the volume of a pyramid?​

Answers

Answer!12 m³Solution!

V(volume of pyramid) = ⅓ x V(volume of prism)

V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³

___________________________

And, to get the volume of prism, simply multiply the volume of pyramid by 3.

if volume of pyramid=12m³, then volume of prism is 36 .

Solution;:

V(volime of prism) = V(volume of pyramid) x 3

V(prism) = 12m³ x 3V(prism) = 36 m³

___________________________

Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.

Ayuda es para mañana plsss

Answers

Answer:

Divido es numero

Step-by-step explanation:

1. 1045.90

2. 579.60

3. 634.15

4. 1084.71

How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I will mark you the brainliest.

Answers

Answer:

Step-by-step explanation:

Problem-solving strategies are created as ways of making a problem easier to understand and this leads to it being easier to solve. For example, one strategy is known as compartmentalizing. This involves splitting a problem into various smaller problems. It makes solving these smaller problems easier and less stressful, and once the smaller problems are solved the bigger one is automatically solved as well. Such a strategy can be applied to any problem in any category including math.

Penny has a rectangular flower garden. The following polynomial gives the volume, V, of the garden with soil height, h.
V(h) = h3 + 5h2 – 24h
The product (h+8)(h-3) is a factor of the polynomial V(h). What does this product represent?

Answers

Answer:

30-24=  6h

Step-by-step explanation:

Find the value of x

(it needs to be 20 characters so don’t mind the extra ness ………..)

Answers

x=120

180-46-74= 60
180-60= 120
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which angle is adjacent to 9 ? I need help knowing what colors to use for a drawing. Which of the following is equivalent to the expression below?log_6^36+log_6^216 The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse. equivalent expression for 8 (y-7) Think of the many reasons people take multivitamins and other supplements, and then answer the following questions.What are the pros and cons of using these supplements?Are the pros and cons different for different people (for example, picky eaters, athletes, healthy adults, pregnant women, the elderly, or any other group)? Which of the following is not a term used to describe exercise that helps theheart work better?A. CardioB. Cardio-respiratoryC. AnaerobicD. Aerobic what is the meaning of the quadratic formula. write it down? Name the marked angle in 2 different ways Graph (x-4)^2/4 + y^2/9 = 1 This Type of chest pain occurs most frequently during exercisepls help define the chemical reaction? Give a definition of business? what is one example of people's rights being oppressed in the modern world? i would really appreciate anyone's help asap, thanks in advance! Question 7 of 21Which of the following expressions is equivalent to the one shown below?(-5. 43A. 158.12B. (-5)9.4C.-15.12D. -8.7SUBMIT please help i do not ave alot of points any time i put ten points it takes away 5 for every number anyways this is 9th grade pap spanish i need help i will crown and thanks Suppose that Italy and Switzerland both produce fish and stained glass. Italy's opportunity cost of producing a pane of stained glass is 4 pounds of fish while Switzerland's opportunity cost of producing a pane of stained glass is 10 pounds of fish.By comparing the opportunity cost of producing stained glass in the two countries, you can tell that production of stained glass and has a comparative advantage in the has a comparative advantage in the production of fish. Suppose that Italy and Sweden consider trading stained glass and fish with each other. Italy can gain from specialization and trade as long as it receives more than receives more than of fish for each pane of stained glass it exports to Sweden. Similarly, Sweden can gain from trade as long as it of stained glass for each pound of fish it exports to Italy Based on your answer to the last question, which of the following prices of trade (that is, price of stained glass in terms of fish) would allow both Sweden and Italy to gain from trade? a. 7 pounds of fish per pane of stained glass b. 4 pounds of fish per pane of stained glass c. 11 pounds of fish per pane of stained glass d. 6 pounds of fish per pane of stained glass Find the area of the circle. Round your answer to the nearest tenth. Suppose that you were interested in building a luxury apartment complex in your hometown. In your analysis of local demographics, you discover that the target market makes up only 5% (core market share) of the households that currently rent (or would be interested in renting) in this town. If market experts believe that a total of 5,000 apartment units will be rented in your entire hometown within the next year, what is the projected number of units the developer could expect to lease in year 1 if he is able to capture 20% of the market potential Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that: