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.

After Gwen, Tristan, And Keith Finish Exercising, They Go To The Fair. At The Fair, They Each Pay The
After Gwen, Tristan, And Keith Finish Exercising, They Go To The Fair. At The Fair, They Each Pay The
After Gwen, Tristan, And Keith Finish Exercising, They Go To The Fair. At The Fair, They Each Pay The
After Gwen, Tristan, And Keith Finish Exercising, They Go To The Fair. At The Fair, They Each Pay The
After Gwen, Tristan, And Keith Finish Exercising, They Go To The Fair. At The Fair, They Each Pay The

Answers

Answer 1

Answer:

Part A:

Gwen equation

x + 10y = 30

Part C:

Keith equation:

x + 10y = 30

Part B:

Tristan equation:

x + 15y = 40

Part D:

You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.

Part E:

Multiply the second equation by -1, then add the equations together.

(x+10y=30)

-1(x+15y=40)

Becomes:

x + 10y = 30

-x - 15y = - 40

Add these equations to eliminate x:

-5y = -10

-5y/5 = -10/5

so y = 2

Now lets find x, so lets plug it in x + 10y = 30.

x + 10(2) = 30

x + 20 = 30 ( do 30-20)

x = 10

We used elimination to solve this problem.

The entree fee is $10 and each ticket costs $2.

Part F:

For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.

Step-by-step explanation:

I really hope this helps you!!!! :D Mark brainliest if it does!!!!

Answer 2

Answer: Part A:

Gwen equation

x + 10y = 30

Part C:

Keith equation:

x + 10y = 30

Part B:

Tristan equation:

x + 15y = 40

Part D:

You would use Keith's and Tristan's equation, because Gwen and Keith have the same exact equation so you can just use Keith's equation.

Part E:

Multiply the second equation by -1, then add the equations together.

(x+10y=30)

-1(x+15y=40)

Becomes:

x + 10y = 30

-x - 15y = - 40

Add these equations to eliminate x:

-5y = -10

-5y/5 = -10/5

so y = 2

Now lets find x, so lets plug it in x + 10y = 30.

x + 10(2) = 30

x + 20 = 30 ( do 30-20)

x = 10

We used elimination to solve this problem.

The entree fee is $10 and each ticket costs $2.

Part F:

For this part search graph tool and go on the app, then put Keith's and Tristan's equation in Graph Tool. Once you do that just screenshot it and paste it to Part F, then your answer should be Yes, you get the same solution when it is solved algrebraically.

Step-by-step explanation:

I really hope this helps you!!!! :D Mark brainliest if it does!!!!

Step-by-step explanation:


Related Questions

A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6. 57 each for two potted begonias and $2. 60 each for three tomato seedlings, how much did you save? a. $3. 83 b. $5. 31 c. $6. 92 d. $9. 6.

Answers

Based on the markdowns and the number of each of the plants purchased, the amount saved is $9.06

Potted Begonias cost $6.57 when discounted by 27%. Their cost must be:

Discounted cost = Original cost x (1 - Discount)

6.57 = Original x (1 - 27%)

Original = 6.57 / 0.73

Original = $9.00

The savings here are therefore:

= 2 x (9 - 6.57)

= $4.86

The original cost of the Tomato seedlings is:

= 2.60 / ( 1 - 35%)

= $4.00

Savings would be:

= 3 x (4 - 2.60)

= $4.20

Total savings are therefore:

= 4.86 + 4.20

= $9.06

In conclusion, $9.06 was saved.

Find out more on this at https://brainly.com/question/25748983.

Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Answers

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

the small squares and circles around a selected graphic are called ____ handles.

Answers

the answer is sizing

Question is in picture please help will mark brainliest

Answers

Answer:

4+2(n-1)+5(n-1)

Step-by-step explanation:

We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).

That will result in

4+2(n-1)+5(n-1)

Please give brainliest! Thank you!

The sum of 6 and a number is 3

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

The other number is 3.....

Hope it helps!

Brainliest pls!

Follow me! :)

The answer is -3 because 6 + (-3) is equal to 3


The food you ordered at a restaurant costs $32.
lowa sales tax is 7%.
It was good service- You decided to tip 20%.
How much tax would be added to your bill?
What is the cost after tax?

What is the amount after the tip


Find the total cost you will pay

Answers

Answer:The food you ordered at a restaurant costs $32.

lowa sales tax is 7%.

It was good service- You decided to tip 20%.

How much tax would be added to your bill?

What is the cost after tax?

What is the amount after the tip

Find the total cost you will pay

Step-by-step explanation:

A pink paint mixture uses 3 cups of white paint for every 6 cups of red paint.
The table show different quantities of red and white paint for the same shade
of pink. Complete the table.




PLS HURRY

Answers

Answer:

1/2 white paint for 1 red paint

3/2 white paint for 3 red paints

12 red paint for 6 white paints

Step-by-step explanation:

I used the ratio form

Soln: 6 red paints : 3 white paint = 1 red paint : x

6/3 × 1/x

So we will cross multiply

6x/6 × 3/6

x = 1/2

A builder completed 65 houses in five months. At this rate, how many houses will the builder
complete in a year? (1 year = 12 months)
H
13 houses
L
130 houses
חד
F
780 houses
с
156 houses

Answers

Answer:

C. 156

Step-by-step explanation:

65/5

13 houses per month

13*12=156

An airplane flies 630 miles per hour for 2,400 miles with the wind in the same amount time it flies 2,100 miles against the wind. Find the speed of the wind.

Answers

Answer:

42 mph

Have a wonderful day! Please mark me as Brainliest!

In a telephone poll, 18 people said they like shopping and 27 people said they do not like shopping. What is the ratio of the number of people who like shopping to the number of people who do not like shopping?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

2/3

Step-by-step explanation:

18/27 simplified is 2/3

This diagram shows right rectangular ABCDEFGH. It also shows EB and HB.

Find the length of each diagonal shown in the diagram. If necessary, round your answers to the nearest tenth.

Answers

Answer:

17

18.4

Step-by-step explanation:

c² = a² + b²

EB² = 15² + 8²

EB = 17 cm

c² = a² + b²

HB² = HE² + EB²

HB² = 7² + 17²

HB² = 338

HB = 18.4 cm

what is the theoretical of flipping a coin and it lands on heads

Answers

There is a 50/50 chance that it could possibly land on heads, or tails.

Answer:

50/50

Step-by-step explanation:

Im not completly sure but when flipping a coin there is only two sides so theoretically if you are flipping a coin there is a 50/50 percent chance you will get heads

Heather earns $16
$
16
for each hour she works as a lifeguard.

Choose the equation that models the situation, where ℎ
h
represents the number of hours she works and
m
represents the money she earns.

Answers

Answer:

$128 a day

Step-by-step explanation:

if she works 8 hours a day/ aka full time then its different from what she earns half time/4 hours, most likely she's working fulltime so ure answer would be $128 a day

(I would be happy if u marked me brainiest) thank you

I need help, can someone explain #4,5,6 in full detail. (I'm very visual)

Answers

Answer

4= 55 and 3/4 5= 4 2/5    6= 6 and 1/2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I did #4 for you:

[tex]11\frac{8}{9}+5\frac{1}{2}[/tex]

[tex]11+5+\frac{8}{9}+\frac{1}{2}[/tex]

[tex]16+\frac{16}{18}+\frac{9}{18}[/tex]

[tex]16+\frac{24}{18}[/tex]

[tex]16+\frac{4}{3}[/tex]

[tex]16+1+\frac{1}{3}[/tex]

[tex]17\frac{1}{3}[/tex]

It really helps to break up the mixed numbers into parts and change the fractions so they have the same denominator. Try to do #5 and #6 the same way I did.

Is - 4 the absolute value of 3 – 7? Explain.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!

We can solve this problem in a single step, we just need to know more about absolute value.

Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.

Since we know that, we can solve the problem using algebra and our new logic we got.

[tex]|3-7|=-4?\\4\neq -4[/tex]

We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.

Cheers!

determine which graph shows Y is a function of x PLEASE HELP ASAPPP ​

Answers

Answer: The Horizontal line at 5

Step-by-step explanation: For Y to be a function, there cannot be different points on the same x value. The horizontal line is the only one that has one y value per x value.

Hope this helps!

Answer: C

Step-by-step explanation:

what is 1\2 x 1.25
ljl

Answers

Answer:

Step-by-step explanation:

1.25 = 1 1/4

1 1/4 = 5/4

1/2 * 5/4 = 5/8

(08.06 MC)
Based on the graph, what is one solution of the equation f(x) = g(x)?
f(x)
(
g(x)

A x=-3.5
b x=-1
c x = 0.25
d x=-2

Answers

Answer:

A:  X= -3.5  

I just took the test, and I chose -1 and got it wrong and I looked back on the answer and that's what the answer said. Sorry if I was late, but good luck.

2x+5+2x+3x no solution, 2x+5+2x+3x one solution, 2x+5+2x+3x infinitely many solutions

Answers

Answer:

Step-by-step explanation:

*From what I'm getting, many of the blanks have multiple numbers that would work.*

No Solutions:

First Blank: 7

Second Blank: Any number but 5

One Solution:

First Blank: Any number but 7

Second Blank: Any number

Infinitely Many Solutions:

First Blank: 7

Second Blank: 5

Mackenzie needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75. Write and solve an equation which can be used to determine x, the cost of the labor per hour.

Answers

Answer:

x=65

Step-by-step explanation:

Based on the given conditions, formulate: 157+3.75 X x=400.75

Rearrange unknown terms and Calculate the sum:

3.75x = 400.75 - 157

3.75x = 243.75

x=243.75 / 3.75

x=65

The cost of labour per hour is $65.

Given that, the technician at the store worked on the computer for 3.75 hours and charged her $157 for parts. The total was $400.75.

We need to write and solve an equation which can be used to determine x, the cost of the labour per hour.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now, according to question 157+3.75×x=400.75

⇒3.75x=400.75-157

⇒3.75x=243.75

⇒x=243.75/3.75

⇒x=65

Therefore, the cost of labour per hour is $65.

To learn more about a linear equation visit:

https://brainly.com/question/27664510.

#SPJ2

Consider the complex number 5 + 0.45i What is the real part of this complex number?

Answers

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A complex number in the form z = a + bi , then

the real part of z is a and b is the imaginary part

For 5 + 0.45i

where 5 is the real part

express 60 as the product of prime factors in ascending order in
index form

Answers

Answer:

2 is a prime number so we don't need to break the 2's down any more. Instead we break 15 down. 15 doesn't divide by 2 so we try the next prime number: 3 Divide 15 by 3 to get 15 = 5 x 3, and so 60 = 5 x 3 x 2 x 2. Now we collect the factors, so our final answer is 60 = 5 x 3 x 22.

Step-by-step explanation:

What factoring pattern can you use to solve x^2+14x+49=0

A (ax+√c)^2=0

B (√a*x+√c)^2=0

C (√a*x+c)(√a*x-c)=0

D (ax+√c)(ax-√c)=c

Answers

Answer:

  B  (√a*x+√c)^2=0

Step-by-step explanation:

It can be helpful to look a the expanded form of each of these factoring patterns.

  A (ax+√c)^2=0   ⇒   a^2x^2 +2a√c*x +c = 0

  B (√a*x+√c)^2=0   ⇒   ax^2 +2√(ac)*x +c = 0

  C (√a*x+c)(√a*x-c)=0   ⇒   ax^2 -c^2 = 0

  D (ax+√c)(ax-√c)=c   ⇒   a^2x^2 -c = c

If 'a' and 'c' represent the coefficients in the given equation, then choices A, C, and D can be eliminated. The expanded forms of those end up with a^2 and/or c^2 as coefficients, not 'a' and 'c'.

Choice B is the only sensible one, and fits the given equation.

  a = 1, c = 49   ⇒   √a = 1, √c = 7

  x^2 +14x +49 = (x +7)^2 = 0 . . . . . factored using Pattern B

On a set of steps, the first step from the base of the steps is labeled 111, the second is labeled 222, and so on. Each step has the same height. The table below shows the step number and step's height from the base of the steps.
Step number Height from the base (meters)
505050 101010
909090 181818
110110110 222222
Write an equation to describe the relationship between nnn, the step number, and hhh, the height from the base.

Answers

The equation that describes the relationship between n, the step number, and h, the height from the base is [tex]\mathbf{h = 0.2n}[/tex]

The sets of step are given as:

Step number (n)       Height from the base (h)

        50                                 10

        90                                 18

        110                                 22

The above table represents a linear relationship.

So, we start by calculating the slope (m)

[tex]\mathbf{m = \frac{h_2 -h_1}{n_2 -n_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{18 - 10}{90 - 50}}[/tex]

[tex]\mathbf{m = \frac{8}{40}}[/tex]

Simplify

[tex]\mathbf{m = 0.2}[/tex]

The equation is then calculated as:

[tex]\mathbf{h = m(n -n_1) + h_1}[/tex]

So, we have:

[tex]\mathbf{h = 0.2(n -50) + 10}[/tex]

Expand

[tex]\mathbf{h = 0.2n -10 + 10}[/tex]

Evaluate like terms

[tex]\mathbf{h = 0.2n}[/tex]

Hence, the equation that describes the steps is [tex]\mathbf{h = 0.2n}[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

Answer:

h=0.2n

Step-by-step explanation:

I'm too lazy to do a step-by-step but this is correct on khan academy.

A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.

Answers

Answer:

1.300 correct me if I'm wrong

Can someone please solve these 3 I DIDNT solve

Answers

Answer:

7: (3,9) 8:(-2,1) 6: (2,10)

Step-by-step explanation:

7) 2x+3=-2x+15

x=3

y=2(3)+3

y=6+3

y=9

8)x= -1(1+2y)/3

-4-2y=-6

y=1

x=-2(1+2(1))/3

x=-2

6)2x-16=-12

x=2

y=2+8

y=10

The length of a rectangle exceeds its width by four inches. Find the dimensions of the rectangle if its area is 96 square inches.

Answers

Answer:

the width is 8

Step-by-step explanation:

I know this because 12×8 is 96

and 12 exceeds 8 by 4, that's how I came up with it

Length-12 in

Width-8 in

Area-96 square inches


6. Which equation has infinite solutions?
A. 6x + 5 - 2x = 4 + 4x - 1
B. - 3+ 12x = - 3( 4x - 1)
C. 5 (x + 3) + 2 = 5x + 17
D. - 5 (x - 5) = - 25 + 5x

Answers

Answer:

C

Step-by-step explanation:

5x+15+2=5x+17

2 Simplify 5x+15+25x+15+2 to 5x+175x+17.

5x+17=5x+17

5x+17=5x+17

3 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

Write an expression that represents 42 is the product of 6 and y

No explanation needed, just tell me the answer :)

Answers

Answer:

[tex]6y = 42\\y = 7[/tex]

Step-by-step explanation:

6 times 7 equals 42. It is just 6x7-42

please help only answer if you're sure it right​

Answers

(B)

is my answer..........

Answer:

I think b is correct answer

Step-by-step explanation:

is correct answer

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