The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival. She only spent her money on ride tickets and admission into the festival. The price of admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation to calculate the cost for anyone who only pays for festival admission and rides
(c) Explain your answer to Part B. PLEASE HELP ITS DUE TODAY!!!

Answers

Answer 1

X= amount of rides

Y=total price (33.50)

Equation: 0.75(18) + X = 33.50

                     13.50+ X=33.50

                    -13.50      -13.50

                                X=20.00

Admission=20.00

Answer 2

Answer:

Part a) [tex]x=18\ tickets[/tex], [tex]y=\$33.50[/tex]

Part b) [tex]y=0.75x+20[/tex]

Step-by-step explanation:

Let

x------>  the number of ride tickets.

k-----> constant that represent the cost for festival admission

y----> the total cost

we know that

[tex]y=0.75x+k[/tex]

we have that

[tex]x=18\ tickets[/tex]

[tex]y=\$33.50[/tex]

substitute the values

[tex]33.50=0.75(18)+k[/tex]

solve for k

[tex]k=33.50-0.75(18)[/tex]

[tex]k=\$20[/tex]

The linear equation to calculate the cost for anyone who only pays for festival admission and rides is equal to

[tex]y=0.75x+20[/tex]


Related Questions

What is the value of x?



3x−8=8x+4/2



Enter your answer in the box.

Answers

Answer:

x = -2

Step-by-step explanation:

3x -8 =8x +4/2

3x -8 =8x +2

3x -3x -8 = 8x -3x +2 (subtract 3x both sides )

-8 = 5x +2

-8-2 =5x+2 -2  (subtract 2 both sides )

-10 =5x

-10/5 = 5x/5 (divide 5 both sides)

-2 = x

Someone please help, it will be so appreciated!

Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)



Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

Answers

Hello,

Question:

Keisha solved the following equation:

4x − 2x + 8 = 6(x + 4)

Which step has an incorrect justification? (Make sure to type only the number of the step into the blank: 1, 2, 3, 4 or 5)

Correct Solution:

x − 2x + 8 = 6(x + 4)

4x + −2x + 8 = (6) (x) + (6) (4) (Distribute)

4x + −2x + 8 = 6x + 24

(4x + −2x) + (8) = 6x + 24 (Combine Like Terms)

2x + 8 = 6x + 24

2x + 8 = 6x + 24

Subtract 6x from both sides.

2x + 8 − 6x = 6x + 24 − 6x

−4x + 8 = 24

Subtract 8 from both sides.

−4x + 8 − 8 = 24 − 8

−4x = 16

-4 x -4 = 16

x = -4

Answer:

Where keisha went wrong was forgeting to subtract 6x to both sides.

Incorrrect step is #3


The solution to the equation is correct.

on the line - 4x + 8 = 24 to the next line

- 4x = 16

4 should be Subtraction property of equality and not addition property of equality


Jeff found that 13 bag of popcorn weighed 14 pounds. How many pounds will one full bag of popcorn weigh? Express your answer in simplest form. a 112 lb b 17 lb c 37 lb d 34 lb

Answers

Answer is approximately 1.07 lbs, You divide 14 pounds into the 13 bags of popcorn to get the weight of each bag

Suzy puts 2 slices of cheese on each sandwich. she makes 4 cheese sandwich. how many slices of cheese does Suzy use in all

Answers

If she puts 2 slices in 4 sandwiches, the answer would be 8.

(4 x 2)= 8.


Hope this helps & good luck. :)

if she has 4 sandwhiches and 2 slices of chesse on each you can multiply

4*2=8

Please Help ASAP 20 points

Find the slope of the line through the given points.
(−1, 2) and (−5,10)
(1,3) and (0,−9)
(18, 6) and (−7, 7)
(−7, 10 ) and (1, 10)

Answers

The answers to the questions

What is the expanded equivalent of cos(a – b)?

Answers

cos(a-b) = cos(a)cos(b)+sin(a)sin(b)

A line contains (34,12) and (32,48) what is the slope of the line in simplified form? HELP ASAPl

Answers

Answer:

[tex]m=-18[/tex]

Step-by-step explanation:

1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

2. When you substitute values into the formula, you obtain:

[tex]y_{2}=48\\y_{1}=12\\x_{2}=32\\x_{1}=34[/tex]

[tex]m=\frac{48-12}{32-34}\\m=\frac{36}{-2}\\m=-18[/tex]


HHELLLP IDEK HOW TO DO THIS THIS IS DUE TODAY!!!!!

Answers

The slope is 8/5 because you are increasing 8 units in the y axis and 5 units in the x direction. So the equation here would be d = 8/5t which means for every increase in t by 1, d will increase by 8/5.

Let f(x) = cos(x). Find the x-intercepts of f(x) on [0, 2π).

Answers

the x-intercepts of cosx are

[tex]\frac{\pi }{2}[/tex] and [tex]\frac{3\pi }{2}[/tex] on [0, 2π )


Final answer:

The x-intercepts of the function f(x) = cos(x) on [0, 2π) are π/2 and 3π/2.

Explanation:

The x-intercepts of the function f(x) = cos(x) on the interval [0, 2π) can be found by setting f(x) equal to zero and solving for x.

cos(x) = 0

To find the values of x for which cos(x) equals zero, we need to determine when the cosine function equals zero on the given interval. The cosine function equals zero at every multiple of π/2. Therefore, the x-intercepts of f(x) are π/2 and 3π/2.

Learn more about x-intercepts here:

https://brainly.com/question/12791065

#SPJ2

Can someone help me with this question?

Answers

Try this solution:

1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;

2. m∠B=m∠M=35° and m∠C=m∠N=95°;

3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°

answer: 50°

PLZ HELP GEOMETRY BELOW

Answers

c (16, 7 )

the transformation which maps KLMN to K'L'M'N' is a translation < 10, 3 >

Applying the same translation to STUV

T(6, 4 ) → T'(6 + 10, 4 + 3 ) = T'(16, 7 )


My friend needed help with this and I found the height through the theorem but can't figure out how to get the base of the overall triangle

Answers

You found CD from the Pythagorean theorem to be ...

... CD = √(5² -2²) = √21

Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:

... AC/AD = AB/AC

... AB = AC²/AD

... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle

_____

Then the area (A) is ...

... A = (1/2)bh

... A = (1/2)(12.5)(√21) ≈ 28.64 square units

_____

As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...

... ADC ~ CDB ~ ACB

You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.

Please see attached below. Please explain

Answers

Answer:

8 years

Step-by-step explanation:

The formula for the computation of simple interest is ...

... I = Prt

where I is the interest amount, P is the principal amount, r is the rate, and t is the number of years.

Fill in the given numbers and solve for t.

... 5704 = 15500×0.046×t

... 5704/713 = t = 8 . . . . . . divide by the coefficient of t

It takes 8 years to earn $5704 on that investment at 4.6% per year.

use subtraction 14 x 25 x 4

Answers

Answer:

The correct answer would be -15

Step-by-step explanation:

Although you have the multiplication symbols here, if we were to use subtraction as your instructions indicate, we would just complete the operations from left to right.

14 - 25 - 4

-11 - 4

-15

The quotient of 5 times a number and 7 is equal to 10. What is the number?

A. 12
B. 13
C. 14
D. 15

Answers

D.15 because 15 divided by 5 is 3 and 3+7 is equal to 10. Hope that helped

The number when the quotient of 5 times a number and 7 is equal to 10 will be 15. The correct option is D.

What is a quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

It is given that the quotient of 5 times a number and 7 is equal to 10. The number will be calculated as below:-

15 divided by 5 is 3 and 3+7 is equal to 10.

Therefore, the number when the quotient of 5 times a number and 7 is equal to 10 will be 15. The correct option is D.

To know more about quotient follow

https://brainly.com/question/673545

#SPJ2

Find the angle complementary to the angle 80°.

Answers

The answer is 10 degrees since 90 - 80 = 10

the angle = 10°

Complementary angles sum to 90°

the complement of 80° is 90° - 80° = 10°


chest volume is 8100 cubic inches the length is 30 inches and the width is 15 inches how tall will the chest be

Answers

The volume of a cuboid is given in terms of length, width, and height by ...

... V = LWH

Filling in the given numbers, we can solve for the height.

... 8100 in³ = (30 in)(15 in)H

Dividing by the coefficient of H, we have ...

... (8100 in³)/(450 in²) = H = 18 in

The chest will be 18 inches tall.

A window frame has a length of (5x + 3) inches and a width of (x + 6) inches. The area of the glass in the window is (4x² + 26x + 15) square inches.

What is the area of the trim around the glass in the window?

A. (x²+3x+7) square inches
B. (9x²+33x+59) square inches
C. (x²+7x+3) square inches
D. (9x²+59x+33) square inches

Answers

C

the area (A ) of the trim is the area of the window frame subtract the area of glass

area of window frame = (5x + 3)(x + 6) = 5x² + 33x + 18

A = 5x² + 33x + 18 - (4x² + 26x + 15)

   = 5x^2 + 33x + 18 - 4x² - 26x - 15 = x² +7x + 3 inches²


PLZ HELP ME WITH GEOMETRY

Answers

B a counterclockwise rotation about the origin of 90°

under a counterclockwise rotation about the origin

a point ( x , y ) → (- y, x)

figure Q to figure Q'

( 4,2 ) → (- 2, 4 )

(7, 5 ) → (- 5, 7 )

(3, 7 ) → (- 7 , 3 )

(2, 4 ) → (- 4, 2 )

(5, 4 ) → (- 4, 5 )

the coordinates of the original points of the vertices of Q map to the corresponding points on the image Q'



PLZ HELP ME WITH GEOMETRY

Answers

You just need to use your test-taking skill to eliminate the wrong answers here.

There is no such thing as a "Congruent Angles Postulate," so the last two choices can be eliminated.

The AA Similarity Postulate refers to triangles, not angles, so the second choice can be eliminated.

That only leaves the (correct) first choice.

Compare 9.36 to 9.359

Answers

9.36 is 0.001 more than 9.359

Both numbers round to the same value.

9.359 has greater precision.

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4. Work out the value of k.

Answers

The straight line joining the points A(3,-5) and B(6,k) has a gradient of 4.

Gradient is the slope

So the slope of the line joining the points A(3,-5) and B(6,k) is 4

Slope of line joining two points = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

A(3,-5) and B(6,k) are (x1,y1)  and (x2,y2)

slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

slope = [tex]\frac{k-(-5)}{6-3}=\frac{k+5)}{3}[/tex]

We know slope =4

 [tex]\frac{k+5)}{3}=4[/tex]

Cross multiply  and solve for k

k + 5 = 12

k = 7

The value of k = 7

the function h(x)=g(x+2)-1, what is the value for h(2) and h(-2)

Answers

Put 2 where x is:

h(2) = g(2+2) -1 = g(4) -1

_____

Put -2 where x is:

h(-2) = g(-2+2) -1 = g(0) -1

Which os larger 5.13 or 5.099? I think it's the 5.099?

Answers

5.13 is larger. Because it is closer to a whole number. That’s what I believe it is at least. Forgive me if I am wrong

5.13 is a bigger decimal than 5.099 since a bigger number on 5.13 is closer to the decimal (1 is bigger than 0)

PICK MORE THAN ONE ANSWER:
Eva earned the following test scores in science:

82, 100, 96, 90, 91

Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply.
After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data.
After adding the 0 test score, the mean would be affected.
After adding the 0 test score, the median would be the most appropriate measure of center to describe the data.
Before the missed test, Eva’s median score was 96.
Before the missed test, Eva’s median score was 91.
Before the missed test, Eva’s mean score was 91.8.

Answers

Answer:

The correct answers are "After adding the 0 test score, the mean would be affected.", ad "Before the missed test, Eva’s median score was 91".

Step-by-step explanation:

We know that the mean and median scores would not be helpful in determining Eva's abilities since the 0 is not a representation of how much she knows. However, it will affect the average as adding a 0 to the numerator and a 1 to the denominator will lower the average.

Finally, we can tell the median is 91 before added as when we line up the scores in ascending order, the middle number is 91.

82, 90, 91, 96, 100

Answer:

Statements that are true based on the data:

-After adding the 0 test score, the mean would be affected.

-After adding the 0 test score, the median would be the most appropriate measure of center to describe the data.

-Before the missed test, Eva’s median score was 91.

-Before the missed test, Eva’s mean score was 91.8.

Step-by-step explanation:

-After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data: NO, it won't because the data now has an extreme value that shifts the mean value significantly.

-After adding the 0 test score, the mean would be affected: YES, The mean value would be greatly impacted by adding the 0, (mean=76.5 with the 0; 91.8 without the 0),

-After adding the 0 test score, the median would be the most appropriate measure of center to describe the data: YES, because the median won't be affected as much as the mean by the extreme value.

-Before the missed test, Eva’s median score was 96: NO, the median score was 91 at that point.

-Before the missed test, Eva’s median score was 91: YES, the median score was 91, the median is defined as the value where 50% of sorted values are below and 50% are above

-Before the missed test, Eva’s mean score was 91.8: YES, the mean is defined as the sum of all values divided by the total number of values

The formula for calculating the median is:

-odd number of values: [tex]$ x_m = x_\frac{n+1}{2}[/tex]

-even number of values: [tex]$ x_m = \frac{x_\frac{n}{2}+x_\frac{n+2}{2}}{2}[/tex]

MEDIAN BEFORE ADDING THE 0: 82,90,91,96,100

[tex]$ x_m = x_\frac{5+1}{2}[/tex]=3 (third value)

MEDIAN AFTER ADDING THE 0: 0,82,90,91,96,100,

[tex]$ x_m = \frac{x_\frac{6}{2}+x_\frac{6+2}{2}}{2}[/tex]=average between the 3 and 4 values

[tex]$ x_m = \frac{90+91}{2}[/tex]=90.5

The formula for calculating the mean is: [tex]mean ={\frac{1}{n} \sum_{i=1}^n (x_i) $[/tex]

MEAN BEFORE ADDING THE 0

[tex]mean ={\frac{1}{5} \sum_{i=1}^5 (x_i) $[/tex]=[tex]\frac{459}{5}[/tex]=91.8

MEAN AFTER ADDING THE 0

[tex]mean ={\frac{1}{6} \sum_{i=1}^6 (x_i) $[/tex]=[tex]\frac{459}{6}[/tex]=76.5

Plz answer this ASAP! What is the x-coordinate of the solution for the system of equations? {y−x=910+2x=−2y Enter your answer in the box.

Answers

:) Here is your answer -7

Answer:

the answer is -7

Step-by-step explanation:

thxs person who answered before me :)

Given: ∠A ≅∠D, ∠B ≅∠E m∠C = x, m∠F = 2x−30° Find: m∠C
This is 2 seperate triangles
ABC is one triangle and DEF is a different triangle

Answers

Answer:

[tex]m\angle c = 30^\circ[/tex]            

Step-by-step explanation:

We are given the following information in the question:

ΔABC and ΔDEF

[tex]\angle A \cong \angle D\\\angle B \cong \angle E\\m\angle c = x \\m\angle F = 2x-30[/tex]

According to angle sum property of the triangle the sum of all angles of triangle is equal to 180 degrees.

Since two corresponding angles of the two triangle are equal, therefore the third angle is also equal.

[tex]x = 2x - 30\\\Rightarrow x = 30[/tex]

Thus,

[tex]m\angle c = 30^\circ[/tex]

The measure of the angle from the given information is m∠C = 2x - 30°

How to determine the measure of the angle?

Given the information, we have two separate triangles: ABC and DEF.

In triangle ABC, we are given that ∠A ≅ ∠D and ∠B ≅ ∠E.

In triangle DEF, we are given that m∠C = x and m∠F = 2x - 30°.

To find m∠C, we need to find the value of x.

Since ∠A ≅ ∠D, and ∠B ≅ ∠E, we can conclude that triangle ABC is congruent to triangle DEF by the Angle-Angle (AA) congruence criterion.

Using this congruence, we can determine that m∠C = m∠F.

Therefore, we have:

m∠C = m∠F

Since we know that m∠F = 2x - 30°, we can substitute this value into the equation:

m∠C = 2x - 30°

This gives us the measure of angle C in terms of x.

Learn more about measure of angles on https://brainly.com/question/32863307

#SPJ1

The table shows a linear function.

Which equation represents the function?

x f(x)
10 −1
5 2
0 5
−5 8

A)f(x)=−53x+5

B)f(x)=−35x+5

C)f(x)=53x+5

D)f(x)=53x−1

Answers

Answer:

B) f(x) = -3/5x +5

Step-by-step explanation:

There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located.

The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.

The slope, the change in y divided by the change in x for two points, is ...

... (-1 -2)/(10 -5) = -3/5

This is the slope and the coefficient of x in the linear equation.

Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:

... y = mx + b

... y = (-3/5)x + 5

Genes are responsible for:
A. all inherited traits of an organism.
B. all traits of an organism.
C. no traits of an organism.
D. all preferences of an organism.

Answers

A. all inherited traits of an organism.

Genes are something you inherit from a family and are passed on. Sometimes you might skip your parents and inherit a trait from a another past relative.

It is A
All inherited traits of an organsim

half the quotient of a number and 3 is ten. find the number.

Answers

call that number x.

[tex]\frac{1}{2}\frac{x}{3}=10\\\frac{x}{3}=20\\x=60[/tex]

Other Questions
A man is four times as old as his son. In 3 years time, the father will be three times as old as the son. How old is each now? In what diffrent ways can 440 be written as the product of two positve integers A school is building a rectangular soccer field that has an area of 6000 square yards. The soccer field must be 40 yards longer than its widht. Determine algebraically the dimensions of the soccer field, in yards Andy told Lena that he spent $16.33 on 4.6 pounds of ground beef at the grocery store. How much will Lena spend if she needs 3 pounds of ground beef?A.$3.55B.$5.44C.$10.65D.$23.93 Which statement is an accurate description of the Aztecs and their relationship with the Spanish? The Aztec's complex civilization was destroyed by the Spanish conquistadors. The Aztecs and the Spanish agreed to share the land of Mesoamerica. The Aztecs had the help of the people they had conquered to defeat the Spanish. The Spanish conquered Aztec territory and then adopted the Aztec's culture. Here are the numbers of times 14 people ate out last month. 7, 6, 5, 4, 3, 6, 5, 6, 5, 4, 4, 4, 6, 5 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode." In Illustration, which statement is not true? A. Examples need to be specific. B. Readers need to be able to identify with the examples. C. Examples should be drawn only from your reading. D. Examples need to support the essay's main idea. Can someone please help me with this? Narrative Short Story: Students will write a fictional short story based upon the theme of dangerous knowledge, monstrosity or love. They will include the following:Exposition: The text sets up the story by introducing the event/conflict, characters, and setting.Narrative Techniques and Development: The story is developed using dialogue, pacing, description, reflection and multiple plot lines.Organization and Cohesion: The text follows a logical sequence of events.Style and Conventions: The text uses sensory language and details to create a vivid picture of the events, setting, and charactersConclusion: Conclusion that follows from the course of the narrative. The conclusion provides a reflection on or resolution of the event. The following data show the number of candies in 15 different bags.35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48Represent the data set on a dot plot. A. B.C.D. What is an environmental impact study Which of the following situations is an example of how income affects supply, demand, and consumption?A.Grocers in Arizona and Texas stock a large supply of Mexican products, while grocers in New York stock many kosher products.B.Beef is extremely cheap in the US, where it is consumed often, but it is extremely expensive in Japan, where it is consumed less.C.Rice is a common staple in Asia, while potatoes are a common staple in America.D.Lobster and caviar are easily affordable in some neighborhoods, while hotdogs and coleslaw are easily affordable in others. which states were fashioned in their entirety from these territories What is the definition of a statistic? A. a numerical measurement describing some characteristic of a population B. a numerical measurement describing some characteristic of a sample C. the complete collection of all individuals to be studied D. a subcollection of members selected from a population (f g)(x) so if g(4) = 8 and f(8) = 22, then (f g)(4) = Molly hikes 1/6 miles everyday to hike a total of 11/6 she would have to hike for how many days Refer to Explorations in Literature for a complete version of this narrative.Read this excerpt from Mother Tongue by Amy Tan.Ive heard other terms used, "limited English," for example. But they seem just as bad, as if everything is limited, including peoples perceptions of the limited English speaker.I know this for a fact, because when I was growing up, my mothers "limited" English limited my perception of her.How does this detail develop the central idea? A. It reveals Tans reflections on judging her own mother because of her English. B. It depicts why so many people struggle to learn standard English. C. It conveys what her mother did to improve her limited English.Quiz:Authors Craft NonfictionAssessment itemsRefer to Explorations in Literature for a complete version of this narrative.Read this excerpt from "Mother Tongue" by Amy Tan.But it wasnt until 1985 that I finally began to write fiction. And at first I wrote using what I thought to be wittily crafted sentences, sentences that would finally prove I had mastery over the English language. Heres an example from the first draft of a story that later made its way into The Joy Luck Club, but without this line: That was my mental quandary in its nascent state. A terrible line, which I can barely pronounce.How does this paragraph from "Mother Tongue" by Amy Tan help to develop one of the authors key ideas about language? A. It shows that using complex words does not necessarily make one's language clearer or more understandable.B. It shows that even accomplished authors never truly master language . It gives a description of the authors current feelings about her mother. Under the separation of powers principle, laws can only be made by _____. the people the Congress the President the courts The ingredient label on a container of shortening indicates partially hydrogenated vegetableoil." This means that during processing the number of carbon-carbon double bonds in the oil was reduced. What is the result of decreasing the number of double bonds?a. The oil now has a lower melting point.b. There are more "kinks" in the fatty acid chains, reducing the membrane density.c. The fatty acid is modified from a diglyceride into a triglyceride.d. The oil now contains a higher percentage of carbohydrate.e. The oil is now more likely to be solid at room temperature. PLZ HELP IM GIVING AWAY 25 POINTSIndonesia Earthquake and Tsunami Death Toll Surpasses 830How does this topic relate to civics The element chlorine (Cl) has two isotopes: chlorine-35 and chlorine-37. 75.5% of chlorine atoms have 18 neutrons and 17 protons, and the other 24.5% have 20neutrons and 17protons. Using the isotopic composition provided, calculate the average atomic mass of chlorine.