After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.

Part B
Write an equation representing how much Tristan paid.

Part C
Write an equation representing how much Keith paid.
Part E
Solve the system you found in Part D. Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost?


Part F
What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

Answer 1

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2


Related Questions

True or false: Least squares regression problems always have a unique solution, since they are modelled by the normal equation

Answers

Answer: (((trueeee))))

Since the least squares problem always has a unique solution. Therefore, the given statement is true.

The given statement is "Least squares regression problems always have a unique solution since they are modelled by the normal equation".

Do least squares always have a unique solution?

The least squares problem always has a solution. The solution is unique if and only if A has linearly independent columns. S equals Span(A) := {Ax : x ∈ Rn}, the column space of A, and x = b.

Therefore, the given statement is true.

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A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?


The building is meters tall.

Answers

Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5  

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

solve pls brainliest

Answers

Answer:2 3/4 for mixed                11/4 for  improper

Step-by-step explanation:

Compare î and by converting each fraction to a decimal. Which is larger? 3 O A. î (or 0.27) is the larger number. OB. (or 0.2727...) is the larger number. 11 C. 3 12 (or 0.312) is the larger number. O D. (or 0.25) is the larger number.​

Answers

Answer:

A

Step-by-step explanation:

Hope it can help you lovelots

Answer: B. 3/11 (or 2.2727...) is the larger number.

To join the speech and debate club, there is a $28.90 initial fee and a $2.20 yearly fee. Write an equation in slope-intercept form where x represents the number of years enrolled in the club, and y represents the total amount of fees paid.​

Answers

First off, initial is your y intercept. Your starting point, with that being said. Your slope is the “yearly fee”. You can solve from there

The equation that represents the total cost of the club will be y = 2.20x + 28.90.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

To join the discourse and discussion club, there is a $28.90 beginning charge and a $2.20 yearly expense.

Let 'x' be the number of years and 'y' be the total cost. Then the equation is given as,

y = 2.20x + 28.90

Where the number 2.20 represents the slope and the number 28.90 represents the y-intercept of the line.

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The area of a triangle is 30 cm and its base
is 10 cm. What is the perpendicular height,
in cm, of the triangle?

Answers

Step-by-step explanation:

area of triangle,=1/2*base*height

30=1/2*10/h

h=6cm

Answer:  Height=6cm

Step-by-step explanation:

Area of triangle =30cm²

Base=10cm

Height=?

Area=1/2*base*height

30=1/2*10*height

Height=30*2/10

Height=6cm

You have already saved $75 dollars for a new TV. You are
week from now on. Write an equation to model the amount of your savings.
If the TV costs $250, how many weeks will you need to save?

Answers

U will need to save 3 and a half weeks so 3 weeks and 3 days and u will have probably a little over 250
How much are you gaining each week? You need to know that to be able to make an equation, but it looks like that part cuts off

Select the correct answer. You’re laying a new kitchen floor with square tiles that are one yard by one yard. Your rectangular kitchen is 24 feet by 33 feet, and each tile costs $54. You determine that the tiles will cost you $3,960. If you made a mistake in your pricing estimate, what most likely occurred?
A. You determined the number of tiles was 19 instead of 88.
B. You multiplied the number of tiles by $45 instead of $54.
C. You calculated the dimensions of your kitchen to be 3 yards by 4 yards instead of 8 yards by 11 yards.
D. No mistake was made.

Answers

Answer: Your estimate is wrong, and it should be $4,752

Step-by-step explanation:

We are given that:

Size of tile = 1yard by 1yard

Let convert yard to feet, so as to find the covered by the tile in feet.

Since 1yard = 3feet

Size of tile = 3feet by 3feet

Area cover by tile = 3x3 = 9ft²

Size of kitchen floor = 24ft by 33ft

Area covered by floor = 24 x 33 = 792ft²

Total number of tile needed for the kitchen floor = Area of kitchen/Area of tiles

= 792/9

= 88 tiles

Given that each tile cost $54

Total cost of 88 tiles = 54 x 88 = $4752

Therefore the answer is

B. Your estimate is wrong, and it should be $4,752

8.
What is the distance between the two points?
(-5,7)
(7,2)

Answers

Answer:

13

Step-by-step explanation:

Use the distance formula to solve for the distance between two points.

[tex]d=\sqrt{(x2-x1)^2 + (y2-y1)^2[/tex]

Plug in your coordinate points.

[tex]d=\sqrt{(7-(-5))^2 + (2-7)^2[/tex]

[tex]d=\sqrt{(12)^2 + (-5)^2[/tex]

[tex]d=\sqrt{144 + 25[/tex]

[tex]d=\sqrt{169[/tex]

d= 13

simpllefie this ansewer 10c–7c

Answers

Answer:

3c

Step-by-step explanation:

10c - 7c = 3c

James is following this recipe to make flapjacks.
James uses 330 mL of syrup.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
100 g sugar
110 mL syrup
220 g oats
165 g margarine
30 g sultanas

Answers

Answer:

24 flapjacks

Step-by-step explanation:

330 / 110 = 3

8 *3 = 24

What is the result of adding these two equations?
5x - y = 6
-2x + y = 8

Answers

Answer:

3x = 14

Step-by-step explanation:

Given the two linear equations, 5x - y = 6 and -2x + y = 8:

We can add both equations the same way we add integers.  The only difference is that we add the terms with the same variables.

    5x  - y   =  6

+  -2x + y   =  8  

   3x + 0y = 14  or  3x = 14

Therefore, the sum is 3x = 14.

HELP I WILL GIVE BRAINLEST

Answers

Answer:

the answer is A

Step-by-step explanation:

Sin is for a and in this picture a is y

Describe the location of the point having the following coordinates.


nonzero abscissa, negative ordinate



O Quadrant l or Quadrant IV

O Quadrant III or Quadrant IV

O Quadrant II or Quadrant IV

O Quadrant lor Quadrant II​

Answers

Answer:

Quadrant III or Quadrant IV

Step-by-step explanation:

i Hope it's helpful for you

Quadrant Ill or Quadrant IV

what is the value x in following sequences 3,12,x,48,75,...​

Answers

Answer:

30

Step-by-step explanation:

12-3= 9

75-48= 27

This is quadratic because it is like saying what is in between 9 and 27.

So the pattern is 9, 18, 27

so 12-3= 9

30-12= 18

48-30= Also 18

75-48= 27

Hope this helped :)

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8

Answers

Answer:

Step-by-step explanation:

y - 4 = -2(x - 6)          It might be easier to do if we removed the brackets and collect like terms.

y - 4 = -2x + 12          Add 4 to both sides

y = - 2x + 4 + 12        Combine

y = - 2x + 16

It's not one because -6*-2 + 16 = 28 for y.

It's B

y = -2 * 6 + 16

y = - 12 + 16

y = 4

(6,4) is the answer.

c: doesn't appear to be right. Any minus sign is going to make the number in front of x  + which only adds to 16 making bigger.

d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8

7/8 rounded to the nearest thousand​

Answers

7/8= 0.875
no rounding necessary

Isaac buys a used dirt bike that he pays for in monthly payments. He pays $218.21 each month. If he makes 12 monthly payments, how much does Isaac spend on the dirt bike in all?

Answers

Answer:

$2618.52

Step-by-step explanation:

we multiply each monthly payment by the total amount of monthly payments to figure out the overall cost

218.51*12 = 2618.52

Helppppppppppppppp meee

Answers

X ≤ 15

Multiply both sides of the inequality by

Move the constant to the right-hand side and change its sign

the reciprocal of 4 is​

Answers

the answer of ur question is 0.25

1/4

Explanation:

4 as a fraction would be 4/1. Any whole number that you want to represent as a fraction goes over 1. When finding the reciprocal, we flip the numerator (number on top of the fraction bar) and the denominator (number on the bottom of the fraction bar.) Therfore, it would be 1/4. Hope this helps :)

pls help ill give brainliest lolz​

Answers

Answer:

t =5

Step-by-step explanation:

-7(2-t)=21

-14+7t=21

7t=35

t=5

help with my math plz

Answers

Answer:

Step-by-step explanation:

The side is S= 5 cm , and the area is A= S² = 5²= 25

If the side would be doubled will be S= 5*2 = 10 cm, and the area A= 10²=100

Compare the area of S=5 to area of S=10 , 100 = 4*25

Conclusion:

If we double the side the area is 4 times greater.

Anna has £10 savings, Ben has £3.

Each week, Anna saves £2.50 and Ben saves £3.

How many weeks will it take for Anna and Ben's
savings to be in the ratio 5:4?

Answers

Answer:

6

weeks

Step-by-step explanation:

Help me solve this-> g(x) = 2x + 3



g(7) =

Answers

Answer:

17

Step-by-step explanation:

it's sufficient to set x=7

g(7)=2×7+3=14+3=17

Answer:

g(7)=2.7+3=17

This is a multi-part question you will refer back to this and other finished parts to help answer this and future questions

In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a
Johnny was asked how long it will take the population to reach
complete sentence) Please help.

Answers

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

The given parameters are:

[tex]\mathbf{a =10000}[/tex] --- the initial population

[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate

Population are always modelled using exponential function.

This is represented as:

[tex]\mathbf{y = a(1 - r)^x}[/tex]

Where y represents the population in x years.

So, we have:

[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]

[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]

[tex]\mathbf{y = 10000(0.997)^x}[/tex]

When the population reaches half, then y = 5000.

So, we have:

[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = 0.997^x}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]

Apply law of logarithm

[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]

Make x the subject

[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]

[tex]\mathbf{x = 230.7}[/tex]

This means that the population will become half the original population in 230.7 years.

The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.

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A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.

Answers

Answer:

standard deviation on edge

Step-by-step explanation:

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

What is a standard deviation?

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

The standard deviation is the statistic that should be used to compare the spread of two sets of data.

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.

By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.

Thus,

The statistic should he use to compare the spread of the two sets of data is the standard deviation.

Learn more about standard deviation here:

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Which of the ratios below has a unit rate of 5? Select all that apply. A) 10:5 B) 4:16 C) 15:3 D) 25:5 E) 40:8

Answers

Answer:

C D E

Step-by-step explanation:

15:3=5

25:5=5

40:8=5

Pls solve this I don't get it

Answers

I think it’s B, not sure

What is 564.2+3.006-1.6?

Answers

Answer:

565.606, is shown step by step in the picture

PLEASE HELP ME OUT! Thank you!

Complete the two-column proof using the answers in the bank.
Given: Point B is the midpoint of DC and EA Prove: ∆BDE ≅∆BCA

Answer Bank:
Definition of a midpoint
EB ≅ AB
Given
Point B is the midpoint of DC and EA
Side-Angle-Side (SAS)
Vertical Angle Theorem

FILL THE BLANKS

Statement Reason
1.__________ 1. Given
2. DB ≅ CB 2._________
3.________ 3. Definition of a midpoint
4. ∠EBD ≅ ∠ABC 4.__________
5. ∆BDE ≅∆BCA 5._________

Answers

Answer:

Step-by-step explanation:

1. B is midpoint of DC and EA              1. Given

2. DB ≅ CB                                            2. Definition of midpoint

3. EB ≅ BA                                              3. Definition of midpoint

4. ∠EBD ≅ ∠ABC                                  4. Vertically opposite angles

5. ΔBDE ≅ ΔBCA                                  5. S A S congruent

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