Which relationships have the same constant of proportionality between y and x as in the equation y = 1/3 x?
Answers
Answer:
C
Step-by-step explanation:
The x is 3 and the y is 1 so if you divide the x by 3 it is 1 which is the y.
The relationships which have the same constant of proportionality between y and x as in the equation y = 1/3x are C and E.
What is the slope of a line?The slope of a line is the ratio that determines the steepness as well as the direction of the line.
How to find the slope of a line?Let the two points on a line be [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2} , y_{2 )[/tex]. The slope can be found as follows:
[tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]
The constant of proportionality in the given problem can be understood as the slope of the line. Thus the lines with their slopes as 1/3 will have the same constant of proportionality as the equation y = 1/3 x.
We can observe the graphs given and find their respective slopes. It can be done as follows:
Graph A:(3 - 0)/(0 + 3) = 1
Graph B:(3 - 0)/(1 - 0) = 3
Graph C:(1 - 0)/(3 - 0) = 1/3
Graph D:(29.1 - 4.8)/(9.7 - 1..6) = 3.111
Graph E:(0.8 - 0.5)/(2.4 - 1.5) = 1/3
Therefore, graphs C and E have relationships that have the same constant of proportionality between y and x as in the equation y = 1/3 x.
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Related Questions
Amazon Prime has movies on sale. If yoi just paid $5 for a movie that originally cost $12, what was the percent discount?
Answers
Answer:
Discount Percent = 58.33 %
Discount Amount = $ 7.00
Step-by-step explanation:
Answer:
41.66666667%
Step-by-step explanation:
What is the Mean Absolute Deviation of the following set of numbers?
16, 21, 17, 22, 16, 16
A) 2.15 B) 2.28 C) 2.33 D) 2.47
Answers
Answer:
B 2.28
Step-by-step explanation:
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Answers
Answer:
60x + 42y
Step-by-step explanation:
6(10x + 7y)
Use distribute property and multiply 6 to everything inside the parenthesis:
6 x 10x = 60x
6 x 7y = 42y
SO, 60x + 42y is the correct answer
Answer:
60x + 42y
Step-by-step explanation:
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Answers
Answer:
(12, 0) & (3, -1) & (0, -3/4)
Step-by-step explanation:
x - 9y = 12
Plug in the point and solve:
12 - 9(0) = 12
12 = 12
3 - 9(-1) = 12
3 + 9 = 12
12 = 12
0 - 9(-3/4) = 12
12 = 12
Answer:
(12,0), (3,-1), and (0,-4/3)
Step-by-step explanation:
Just replace x and y in the equation with the coordinates.
12-9(0)=12
solve to see if it is true. First solve 9(0) which is 0. Which leaves us with 12-0=12 and this is true because it fits.
Now with (3,-1)
3-9(-1)=12
Solve to see if true. First solve 9(-1) which is -9. this leaves us with 3-(-9)=12
3-(-9) does equal 12 so this one is true as well.
Same thing with (0,-4/3)
Emma types one-third of a paper for History class in 34 hour. What part of the paper can she type in one hour?
Answers
Answer:
What part of the paper can she type in one hour. The hours cancel out, leaving us with: 1/3 x 4/3 paper/hour Multiplying the numerators and denominators, we get: 4/9 paper/hour So Emma can type 4/9 of a paper in one hour.
Thank you for submitting!
I need help and this is due at 11:59 please
Answers
Answer: The y-intercept (b) is 10.
Step-by-step explanation:
Use the slope and the point to help you. Plot the point (-3,4) on graphing paper or use geometry software. I use geometry software, it's easier.
You'll need to understand that the slope 2 can also be written as 2/1 (rise/run). Go up 2 units and go to the right 1 unit, then plot a point. Keep going until one of the points lies on the y-axis. The y-coordinate of that point is the y-intercept. So, the y-intercept (aka "b") is 10.
You're welcome, and I have a nice day! :D
Answer:
10.
Step-by-step explanation:
When you go shopping, you love to purchase new shirts. In your closet you notice that 2/6 are red shirts, 2/4 are shirts blue, 4/5 are green shirts and 1/10 are yellow shirts. You choose a shirt without looking, what color shirt are you MOSTLY likely to choose?
A
green
B
red
C
yellow
D
blue
Answers
The mass of the blue copper sulfate crystal is two-thirds the mass of the red fluorite crystal. Write an equation you can use to find the mass m (in grams)of the blue copper sulfate crystal.
plz :(
Answers
which of these would be a helpful first step in solving the equation? check all that apply. 7x - 9 = 2x + 21
Answers
Answer: E. Subtract 2x
Step-by-step explanation:
Subtracting 2x would remove a bit from both equations, giving us 5x - 9 = 12. This would make it easier now that we only have one number on a side.
Hope this helps!
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Answers
Answer: The 3 answer
Step-by-step explanation:
Its just a feeling
There is an attachment below. Pls help me!
Answers
Answer:
square = 8
Step-by-step explanation:
x = square weight
4 + 2x = 3(4) + x
simplify:
4 + 2x = 12 + x
subtract 4 and x from each side of the equation:
x = 8
Graph the two equations on the line
Answers
Answer:
Check the attachment
Step-by-step explanation:
Approximately 52 percent of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is
Answers
Please help and explain I need this done pronto!!!
Answers
Answer:
1.) Mean= 136
Median=133
2.) Mean=136
Median=133
Answer: Landers
Mean = 136
Median = 133
Skakalski
Mean = 130
Median = 133
Step-by-step explanation: to find the mean add all the numbers then divide it by how many numbers there are.
To find the median write all the numbers from smallest to largest then cancel the number at the end until you reach the “middle” number.
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Answers
it is equal to 2 1/2
Step-by-step explanation:
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Answer:
2 1/2
Step-by-step explanation:
only this the answer
Monday- Simple probability
Use the image above to answer the following questions. Find each Probability and write your answer as a FRACTION, DECIMAL and PERCENT.
P(B)
P(Q or R)
P(Vowel)
P(T)
Answers
Write the equation of the line in slope-intercept form using y=mx+b
Answers
Answer:
y=x-400
Step-by-step explanation:
Which sample size of a population of 200 is most likely to give a reliable conclusion?
30
10
50
80
Answers
Answer:
In my opinion 50
Step-by-step explanation:
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The perimeter of the triangle below is 42 units.
What is the value of x?
A. 18
B. 14
C. 30
D. 10
Answers
Answer:
x=10
Step-by-step explanation:
10+5=15
10+7=17
10
= 42
No links, no I dont knows, math home work review sheet 2
please atleast try to awnser 2-3
Answers
Use your answer from Question #5 and the coordinates of P to find the coordinates of P’. Explain your work, including how the scale factor was used to determine the answer.
Answers
Answer:
Scale factor is used to find the coordinates depending upon whether the scale factor value is less than one or more than one.
Step-by-step explanation:
A scale factor is a number which scales, or increases, some amount. In the condition y = Cx, C is the scale factor for x. C is likewise the coefficient of x, and might be known as the steady of proportionality of y to x.
An object is augmented if the scale factor is more noteworthy than 1. An article is decreased if the scale factor is a division, under 1. To discover the expanded picture, we initially should know the directions of our unique picture. At that point we basically increase the arrange by the scale factor to discover the widened picture.
a 4000 pound car driving at 40 miles/hour has how many times the kinetic energy of another 4000 pound car driving at 10 miles/hour.
Answers
Explain = do 4,000 five by 40 then get a answer of 100 and then do 4,000 divid by 10 and get 400 do you see the similarities of both of these question they are the same question but just written in different ways just by adding a zero.
The comparison of the kinetic energy of the given bodies is required.
The first car has 16 times more the kinetic energy of the second car.
Kinetic energym = Mass of car = 4000 pound
[tex]v_1[/tex] = Initial velocity of car = 40 miles/hour
[tex]v_2[/tex] = Final velocity of car = 10 miles/hour
The mass of the car is constant so we have the relation
[tex]K\propto v^2[/tex]
Thus,
[tex]\dfrac{K_1}{K_2}=\dfrac{v_1^2}{v_2^2}\\\Rightarrow K_1=K_2\dfrac{40^2}{10^2}\\\Rightarrow K_1=16K_2[/tex]
Learn more about kinetic energy:
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I need help i will give brainliest and 20 pts. thanks
Answers
Answer:A
Step-by-step explanation:
Markers make up what percent of the school supply inventory?
Answers
Answer:
Markers make up 15% of the inventory.
Step-by-step explanation:
There are 60 total items and 9 of them are markers. 9 is 15% of 60
____n/-6=-4____
__=___
SOLVE STEP 1 EQUATIONS
Answers
turn the integer positive.
-4+6=2
n=2
What is the median of the data set? 6, 7, 11, 14, 20, 30, 35.
O A. O B. 14 O c. 6 O D. 35
Answers
Answer:
simple you just need to,there are lot ways ok don't get hurry just listen answer is 35 done
Answer:
The median is 14
What is 2.75 years in months?
Answers
Answer:
About 33.
Step-by-step explanation:
In 1 year, there are 12 months. We have 2 years here, so we do 12x2, which is 24. We also have .75.
Well, .5 (half) of the year would be 6. A quarter of the year would be 3.
.75 is equal to 3 quarters, so we do 3x3, getting 9.
24+9=33
Answer correctly please and explain correctly
Answers
Attachment Below: Pls help me!
1. How far (in miles) is the campsite from their car?
2. After how many hours will the hikers be 16 miles from their car?
Answers
Answer:
i dont know this one it hard
Step-by-step explanation:
You are standing at the top of the mountain 1,500 feet above sea level and your brother is a scuba diving in the ocean 10 feet below sea level. Write an expression using absolute values to determine the difference between the 2 positions.
Answers
Answer:
To find the absolute value remove abt negative sign in front of a number and to think of all numbers as a positive
Step-by-step explanation:
The expression using absolute values to determine the difference between the two positions is → d = x + |y| , where : x = +1500 and y = -10.
What are expressions?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Given is that you are standing at the top of the mountain 1,500 feet above sea level and your brother is a scuba diving in the ocean 10 feet below sea level.
For 1500 feet above the sea level, we can write -
{x} = + 1500 ft
For 10 feet below the sea level, we can write -
{y} = - 10
Assume the difference between the two positions is equal to {d}. So, we can write -
d = x + |y|
d = 1500 + |- 10|
d = 1500 + 10
d = 1510 ft
Therefore, the expression using absolute values to determine the difference between the two positions is → d = x + |y| , where : x = +1500 and y = -10.
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