Write an equation representing how much Keith paid.

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.

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

Step-by-step explanation:


Related Questions

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

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

A family needs to build fencing around their rectangular home and square swimming pool, depicted below

Answers

Answer:

160

Step-by-step explanation:

simpllefie this ansewer 10c–7c

Answers

Answer:

3c

Step-by-step explanation:

10c - 7c = 3c

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.

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


Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.

Answers

Answer:

  change = 100y -np

Step-by-step explanation:

The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.

The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.

Her change will be the difference between what she offered in payment and what she owes.

  change = 100y -np

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

The coefficient in the formula above tells us that there are?

Answers

Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)

Step-by-step explanation:

Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your recommendation for the best financial choice in their situation. Evaluate each of the three offers, compare and contrast their effectiveness, and explain the offer that works best. As you explain your answer, support it using reasons and evidence from the calculations you made based on the information provided in this guide for Analyzing Mortgage Options.

Answers

Answer:

Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.

Step-by-step explanation:

The best option will be option A which will be chosen by Demarco and Tanya.

What is finance?

Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.

The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.

Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.

Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.

So, The best option will be option A which will be chosen by Demarco and Tanya.

Learn more about finances;

brainly.com/question/9851444

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

Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms

Answers

Answer:

A

Step-by-step explanation:

Answer:

conversion from gram to kilogram

u divide the gram by 1000

which is 722/ 1000

=0.722kilograms

i.e answer is A

Help me on this mathwork please

Answers

Answer:

m∠I = 56°

m∠1 = 30°

Step-by-step explanation:

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:

The center of an inscribed circle is
formed by the construction of which
three segments?

Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters

Answers

Answer:

Angle bisectors, Perpendicular bisectors, and Circumcenters

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.

Using the formula find the slope of a line with the points (10,20) and (30,50).

Answers

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!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

Help with this and explain please

Answers

Answer:

Step-by-step explanation:

-6x + y  = -6                     Add 6x to both sides

y = 6x - 6                         So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x  = - 4

y = 0

0 = 6*(-4) + b                    Combine

0 = - 24 + b                      add 24 to both sides

24 = b  

Answer:  y = 6x + 24

divide: 994.14 ÷ 18.9

Answers

Answer:

52.6?

Step-by-step explanation:

Step-by-step explanation:

[tex] \\ 994.14 \div 18.9[/tex]

[tex] \\ = \frac{99414}{100} \div \frac{189}{10} [/tex]

[tex] \\ = \frac{49707}{50} \div \frac{189}{10} [/tex]

[tex] \\ = \frac{49707}{50} \times \frac{10}{189} [/tex]

[tex] \\ = \frac{263}{5} [/tex]

[tex] \\ = 52.6[/tex]

given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD

Answers

The Triangles are congruent by SAS Criteria.

The step by step explanation is there in the image I attached.

Hope it helps you....

Please mark as brainlliest!!!

Complete the table using the equation y = 8x + 8 ( helppp plsss)

Answers

Answer:

0, 8, 16, 24, 32

Step-by-step explanation:

plug in the values given for x into the 8x+8 equation

Example:

8(-1)+8

8(0)+8

Answer:

(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)

Step-by-step explanation:

To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,

y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)

6th Grade End-of-Module Review Part-xwhole Name Adam Robertson Date 1/12/21 1. Jazzlyn is applying for a job online. She has completed 12 questions. Throughout the application, a bar shows up to represent what percentage of questions she's completed. The progress bar currently shows 25%How many questions are there for the job application? Use a table, diagram, or equation to justify your answer.​

Answers

Answer:

48 questions.

Step-by-step explanation:

x is for the unknown variable, the number you are trying to figure out.

12= 25%x

if you convert to a fraction, 12 is 1/4 of x. if you then multiply your answer by 4, 12 is 25% of 48.

to figure this out you can also ask, 12 is 25% of what number?


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

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.

To learn more about least squares regression visit:

https://brainly.com/question/2141008.

#SPJ2

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:

https://brainly.com/question/23907081

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Someone plz help me I’m begging

Answers

Answer:

answer is D

pls I don't confirm sorry

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 :)

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.

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