Theater tickets to the Livingston Theater production cost $18 for students and $25 for non-students. If 320 tickets were sold, and the total sales of all of the tickets was $6719, how many student tickets were sold

Answers

Answer 1

The total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the x number of students tickets were sold and

y number of tickets were sold for non students.

Then we can frame two linear equations:

x + y = 320 ...(1)

18x + 25y = 6719 ...(2)

From equation (1) take the value of y and plug into the equation (2)

18x + 25(320 - x) = 6719

18x + 8000 - 25x = 6719

7x = 1281

x = 183 tickets

Thus, the total number of student tickets were sold is 183 if the theater production cost $18 for students and $25 for non-students.

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Related Questions

The runways at an airport are arranged to intersect and are boarded by fencing a security guard needs to patrol the outside fence of the runways once per shift what is the estimated distance she walks every shift

Answers

The estimated distance she walks every shift will be 18000 feet.

How to calculate the distance?

From the information given, it was stated that the

runways at an airport are arranged to intersect and are boarded by fencing a security guard.

The estimated distance she walks every shift from the complete information will be:

= 2(4000 + 5000)

= 2 × 9000

= 18000 feet.

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Answer:

the answer is 23,320 ft

Step-by-step explanation:

I hope it helps you

8x10^-3 is how many times as great as 4x10^-6

Answers

The value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

What are exponent values?

Exponents, also known as powers, are values that show how many times to multiply a base number by itself.

Here we have the values  [tex]8\times 10^{-3}[/tex] and [tex]4\times 10^{-6}[/tex]

Now to compare the value we will write [tex]4\times 10^{-6}[/tex] as [tex]0.004\times 10^{-3}[/tex]. We will divide the value  [tex]8\times 10^{-3}[/tex] by the value [tex]4\times 10^{-6}[/tex]  So it will give us 2000.That means that the value [tex]8\times 10^{-3}[/tex] is 2000 times them the value [tex]4\times 10^{-6}[/tex]

[tex]\dfrac{8\times 10^{-3}}{0.004\times 10^{-3}}=2000[/tex]

So value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

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Solve the system of the linear equations with three variables:
6x + 4y + z = 12
6x + 4y + 2z = 12
6x + 4y + 3z = 12

Answers

Answer:

z = 0

y = -3x/2 + 3

Step-by-step explanation:

6x + 4y + z = 12

6x + 4y + 2z = 12

6x + 4y + 3z = 12

Second equation minus first equation:

z = 0

If you plug in z = 0 in all the original equations, you get a single equation:

3x + 2y = 6

The best you can do is to solve for y in terms of x.

y = -3x/2 + 3

Answer:

z = 0

y = -3x/2 + 3

1. Emily wants to make 1, 000 paper cranes. She can make
eight cranes a day. If she has already made 304 cranes, how
many days are left till she makes the rest of the 1,000 paper
cranes?
CA
3-4

Answers

Answer:

87 days

Step-by-step explanation:

First if she already made 304 cranes and she makes 8 a day. Simply divide 304 by 8. You would then get 38. Next divide 1,000 by 8. You would get 125. You would subtract the total from how many days you need; 125, to how many days you already spent; 38. 125 - 38 = 87. 87 days are needed to make paper cranes.

Find the unknown dimension or volume of each rectangular prism.

V = _______

l = 4 cm

w = 4 cm

h = 11 cm

Answers

Answer:

176

Step-by-step explanation:

you multiply the numbers 4 4 and 11 to get 176

Volume= LxWxH. Therefor, we can plug our values into the formula, thus giving the equation: 4x4x11=176. Volume=176

There are 12 players on a baseball team. In how many different ways can the coach choose players for left field, right field, and center field?
A) 36
B) 220
C) 1320
D) 1728

Answers

The answer to your question is C) 1320

Find the mistake in the following set of steps in a student’s attempt to solve 5x+2≥x+2/5, for x. What is the correct solution set?
5x+2≥x+2/5
5(x+2/5)≥x+2/5 (factoring out 5 on the left side)
5≥1 (dividing by (x+2/5))
So, the solution set is the empty set.

Answers

Answer: x ≥ [tex]\frac{-2}{5}[/tex]

Step-by-step explanation:

I cannot see what the student did wrong in your question, so I solved for x in the equation...

[tex]5x + 2[/tex] ≥ [tex]x + \frac{2}{5}[/tex]

1. subtract x from both sides

4x + 2 ≥ [tex]\frac{2}{5}[/tex]

2. subtract 2 from both sides to isolate 4x

4x ≥ [tex]\frac{-8}{5}[/tex]

3. divide both sides by 4

x ≥ [tex]\frac{-2}{5}[/tex]

Stephanie spent $96 on trash cans, if each trash can was $24. How many trash cans did she get

Answers

Stephanie got 4 trash cans

Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data. A 3-row table with 10 columns. The first row is labeled essay rank with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. The second row is labeled essay score with entries 9. 7, 9. 5, 9. 5, 9. 0, 8. 9, 8. 9, 8. 5, 8. 4, 8. 2, 7. 0. The third row is labeled word count with entries 324, 352, 337, 318, 299, 304, 290, 291, 278, 250. How does the word count of an essay relate to its score in the contest? Word count tends to decrease as the score decreases. Word count tends to increase as the score decreases. Word count tends to remain constant as the score decreases. Word count has no apparent relationship to the score of the essay.

Answers

Answer:

D. word count has no apparent relationship to the score of the essay

Step-by-step explanation:

ya its D ANYWAYSSSSSS

4 days out of the past 20 days. What is the
estimated probability, based on relative frequency, that her ride will be late
tomorrow?
O A. 80%
B. 40%
O c. 20%
O D. 60%
Answer quickly please and thank you

Answers

I’m guessing you forgot to post the first half of the question here. Don’t worry though! 4 out of 20 is equal to 1/5, which out of 100, is 20%. Therefore, my answer is C, or 20%

help me pleaseee >:)

Answers

Answer:

Cylinder: [tex]V_c = 80 \pi \approx 251.33[/tex]

Rectangular prism: [tex]V_r = 384[/tex]

Total: [tex]V = 80\pi + 384 \approx 635.33[/tex]

Step-by-step explanation:

The volume of the cylinder:

[tex]V_c = \pi r^2 h\\V_c =\pi4^2 \times 5\\V_c = 80\pi\\V_c \approx 251.33[/tex]

The volume of the rectangular prism:

[tex]V_r = lwh\\V_r = 12 \times 8 \times 4\\V_r = 384[/tex]

The total volume:

[tex]V = V_c + V_r\\V = 80\pi + 384\\V \approx 635.33[/tex]

Which measurements of two similar triangles are the same?
A
the angles

B
the angles and legs

C
the lengths of all legs

D
the length of the hypotenuses

Answers

Answer:

A) the angles

Step-by-step explanation:

Similar triangles are triangles that have the same shape but different sizes.

Angles

Since similar triangles have the same shape, all of the angles must be congruent. If any of the angles are different sizes, then the shape of the entire triangle would change.

Sides

The sides of a similar triangle are not necessarily congruent. However, because all of the angles are congruent, the sides are proportionate. This means that if you are given the sides and angles of one triangle, you can find the sides and angles of any similar triangle.

the annual tuition and parent rating of 12 private schools is shown in the scatterplot the schools are waiting on a scale of 0 to 100.

Part A: describe the association shown in scatterplot
Part B: give an example of a data points that affects the appropriateness of using a linear regression model to fit all the data. Explain
Part C: give an example of a school that is cost-effective and rated highly by parents

Answers

There is no association in scatter plot of the annual tuition and parent rating of the 12 private schools

Part A: The association shown in scatter plot

We can see that the points on the scatter plot are scattered, and they do not follow a specific pattern.

This means that there is no association in scatter plot

Part B: A data points that affects the appropriateness of using a linear regression model

A point that would affect the appropriateness is a point that is relatively far from other data points i.e. an outlier

An example of this point is the point between x = 8000 and 10000 and y = 0 and 10

Part C: A school that is cost-effective and rated highly by parents

This school would have a high rating and a medium or not so high cost

From the scatter plot, an example of a school that has this feature have a tuition close to $6000 and rating close to 90

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PLEASE HELP i already asked this question but no one helped.

Answers

All of them are correct

how many 3 servings are in ounces

Answers

Answer:
depends on the food type! you never said the unit of mass either so..
servings recommended:
Grains: 6 ounces (oz) per day. Serving sizes = ½ cup cooked rice, pasta or cooked cereal; 1 oz. dry pasta or rice; 1 slice bread; 1 cup ready-to-eat cereal flakes.
Vegetables: 2 ½ cups per day. Serving sizes= 1 cup equivalent of vegetables is 1 cup raw vegetable or vegetable juice, 2 cups leafy salad greens.
Fruits: 2 cups per day. Serving sizes =1 cup equivalent is 1 cup fruit or ½ cup of 100% fruit juice (orange juice, etc.) or 1/3 cup of a fruit juice blend.
Protein foods (meat, poultry, fish, dry beans and nuts): 5 ½ oz. per day. Serving sizes = 3 oz. cooked lean meat, poultry or fish; 2 egg whites or 1 egg; ¼ cup cooked beans; 1 tbsp. peanut butter; ½ oz. unsalted nuts/seeds. Note that ¼ cup cooked beans = 1 oz. protein equivalent but ½ cup cooked beans = 1 vegetable.
Fat-free or low-fat dairy foods (milk, yogurt and cheese): 3 cups per day. Serving sizes: 1 cup equivalent is 1 cup milk or yogurt, 1½ oz. natural cheese such as cheddar cheese, or 2 oz. processed cheese.

It depends on the size of the portion and you divide that size by 3 and the result comes out

Rewrite in simplest radical form 1 over the quantity x to the negative three sixths end quantity. show each step of your process.

Answers

Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].

What is the Property of Exponents?

The property of exponents that can be used to solve this problem are:

[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]

Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:

[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]

Reduce the fraction

[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]

Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]

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Please help me.

I will give you Brainliest, if you answer correctly

Answers

Answer:

9(5x^3-1)

Please Vote Me Brainliest. Thank You.

IXL percent of change

Answers

Answer:

What? I think you forgot to attach the picture.

Español Use the equation below to find y, if m=4, x=8, and b=12. y=mx-b​

Answers

Answer

[tex]y=4* 8 -12\\[/tex]

Step-by-step explanation:

4 x 8 = 32

y=32-12

y=20

what’s the area and perimeter for this problem?

Answers

Answer:

the area of the triangle is 41

the perimiter of the triangle is 33.25

Step-by-step explanation:

round to the nearest hundreth

Answers

is it asking for area? perimeter?

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y= -6x^2 + 600x - 5726

Answers

The maximum amount of profit the company can make is 9274

What is  differentiation?

Differentiation is the rate of change of one quantity with respect to the other.

It is the ratio of the change in one quantity, usually the dependent quantity to the change in another related quantity, usually the independent quantity.

Analysis:

y= -6x^2 + 600x - 5726

differentiating the equation,

dy/dx = -12x + 600

for maximum selling price, dy/dx = 0

-12x + 600 = 0

12x = 600

x = 50

The maximum selling price is 50, so substituting x to find y

y = -6(50)(50) + 600(50) - 5726 = 9274

In conclusion, the maximum amount of profit the company can make is 9274.

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Martin ordered a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in the area of the two pizzas?

Question 1 options:

50 inches2

113 inches2

201 inches 2

452 inches 2

Answers

Answer:

B: 113 inches2

Step-by-step explanation:

16inch diameter=201

20inch diameter=314

314-201=113


Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'
Sarah's claim is not true. Give the two possible answers for the third side of the right triangle. Leave your answer
as a square root unless it can be simplified

Answers

The answers: 3•sqrt34 and 12

Depending on the theorem of Pythagoras
Answer N1: sqrt(9^2 + 15^2)
Answer N2: sqrt(15^2 - 9^2)

The two possible answers for the third side of the right triangle are 6 and 24.

What is the triangle inequality theorem?

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'

The two possible answers for the third side of the right triangle are;

[tex]\rm 15-9 < x < 15+9\\\\6 < x < 24[/tex]

The possible length of the third side of a triangle.

For checking the possible length:

15 + 9 > 7 (a+b>c)

9 + 7 > 15 (b+c>a)

7+ 15 >9(a+c>b)

Which satisfy the triangle inequality theorem.

Hence, the two possible answers for the third side of the right triangle are 6 and 24.

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If you are at school 8 out of the 24 hours every weekday what percent of the time are yoou at home every weekday

Answers

Answer:

Rounded it is 66.7%

Step-by-step explanation:

24-8=16

Then find the percentage of 16 out of 24.

Answer:

33.33333%

Step-by-step explanation:

24 divided by 8=3

6. Allie used the $1,200 she got from her
graduation party to open a savings account.
If the account earns 1% interest each
month and she makes no additional deposits,
how much money will be in the account in 5
years?



URGENT:!!!!!!!!!!!

Answers

Answer:

$1261.21

Step-by-step explanation:

$1,261.21 is your answer hope it helps!

How many ways can you fold the square so one half? How many ways an you fold the letter G one half fits exactly on top of the other half?

Answers

There are four ways to fold the square into half and the number of ways to fold the letter G is 0

Folding a square?

A square has 4 lines of symmetry.

Each line of symmetry divides the square into half

This means that the square can be folded in any of its line of symmetry to get one half

Hence, there are four ways to fold the square into half

Folding the letter G

The letter G has no line of symmetry.

This means that the letter cannot be folded so that the halves fit perfectly

Hence, the number of ways to fold the letter G is 0

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i need help pleaseeeeee

Answers

Answer:

answer is X= 175

Step-by-step explanation:

all you had to do is to get rid off both 5 on left which would leave you with x and on right side the answer to 35×5 is 175

Can someone please help?? This is sooooo hard!!!

Answers

Answer:

Step-by-step explanation:

1) [tex]\overline{AC}[/tex] bisects [tex]\overline{BD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex] (given)

2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)

3) [tex]\angle BCE \cong \angle EAD[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

4) [tex]\angle CBE \cong \angle EDA[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

5) [tex]\triangle BEC \cong \triangle DEA[/tex] (AAS)

How many square feet of glass is used to create the window

Answers

Answer:108

mark me brainliest

Step-by-step explanation:8 pieces of glass uses 1 sqft. glass window. 864 sqin. required = = 108 pieces. Number of pieces required for 864 sq.inches = 108 pieces.

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