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:
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: 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
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:
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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
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
(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.
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!
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.
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
the small squares and circles around a selected graphic are called ____ handles.
Answers
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
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 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!
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what is the theoretical of flipping a coin and it lands on heads
Answers
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
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
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.
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
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:
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:
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!
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
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
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)
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.
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
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
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
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:
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
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:
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
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
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