The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality, \dfrac{y}{x}
x
y

start fraction, y, divided by, x, end fraction ?

The Graph Below Shows A Proportional Relationship Between Xxx And Yyy.What Is The Constant Of Proportionality,

Answers

Answer 1

Answer:

k = 3.5

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Divide both sides by x , then

k = [tex]\frac{y}{x}[/tex]

Using the point (1, 3.5 ), then

k = [tex]\frac{3.5}{1}[/tex] = 3.5

Answer 2

The constant of proportionality [tex](\(\frac{y}{x}\))[/tex] for the given proportional relationship is 3.5.

To find the constant of proportionality [tex](\(\frac{y}{x}\))[/tex], we can use the two given points (0, 0) and (1, 3.5) on the graph, which represent the proportional relationship between x and y.

The constant of proportionality [tex](\(\frac{y}{x}\))[/tex] is the ratio of y-coordinates to x-coordinates for any pair of corresponding points in a proportional relationship.

Let's calculate it using the points (0, 0) and (1, 3.5):

[tex]\(\frac{y}{x} = \frac{3.5}{1} = 3.5\)[/tex]

So, the constant of proportionality is 3.5.

To know more about proportionality, refer here:

https://brainly.com/question/17793140

#SPJ2


Related Questions

Click here to answer the questions, thanks ​

Answers

Answer:

a) 3/5=12/20

b) 5/6=25/30

Step-by-step explanation:

a.) To find the answer you would first find how much it took to get to 20. 5  times 4 is 20. Then to find the numerator you would do 3 times 4 and that would be 12.

b) To find the answer you would first find how much it took to get to 30. So 30/6 is 5. Then you would divide 25 by 5 and you would get 5.

find the value of variable y using appropriate identity (y-5)2-(y-3)2=12

Answers

Answer:

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow (y-5)2-(y-3)2=12 [/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-10-2y-6=12[/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow 2y-2y-10-6=12 [/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow -16=12 [/tex]

[tex]\\\qquad\quad\displaystyle\sf {:}\longrightarrow y's\:value\:is\:undefined [/tex]

Answer:

[tex] {(y - 5)}^{2} - {(y - 3)}^{2} = 12 \\ = ( {y}^{2} - 10y + 25) - ( {y}^{2} - 6y + 9) = 12 \\ = {y}^{2} - 10y+ 25 - {y}^{2} + 6y - 9 = 12 \\ = - 4y + 16 = 12 \\ = - 4y = 12 - 16 \\ = - 4y = - 4 \\ = y = \frac{ - 4}{ - 4} \\ = \boxed{y = 1}[/tex]

y=1 is the right answer.

HELP please :)
a laptop costs $899 how much will it be with a sale of 24% off

Answers

Answer:

683.24

Step-by-step explanation:

Im pretty sure PLEASE give BRAINLIEST I NEED IT

All you have to do is 899 times .24 and then get that answer and subtract

Answer:

its $683.24

as we first took out 24%of $899 i.e215.76 then we subtracted it from $899

Find the cube root of 512

Answers

Answer:

8

Step-by-step explanation:

[tex] \sqrt[3]{512} = (512) {}^{ \frac{1}{3} } = 8[/tex]

please help me with these three ​

Answers

13) parallel because they have a same gradient of 4

14) neither because the gradients multiply together to only get 1

15) perpendicular because the gradients multiply together to get -1

Write the new function if the parent function f(x)=-2x-5 is translated 2
units left. please help

Answers

Answer:

f(x) = -2x-15

Step-by-step explanation:

f(x) = -2(x+5)-5 = -2x-15

Find the 89th term of the arithmetic sequence -16, -3, 10, ...

Answers

Answer:

uhm, i'm pretty sure it would be 1,128 because between each term is 13 units, and the first three terms are given. and 89-3 is 86. and 86*13=1,118. since the last term was 10, you need to add 10 to that, making your answer 1,128

What is cos theta when sin theta = sqrt 2/3

Answers

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]

And , we know the identity of sine and cosine as ,

[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]

Using , this identity we have ;

[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]

what is the solution

Answers

Answer:

m =40

Step-by-step explanation:

m/4 -3 = 7

Add 3 to each side

m/4 -3+3 = 7+3

m/4 = 10

Multiply each side by 4

m/4 *4 = 10*4

m = 40

Need some help from the bois

Answers

Answer:

a

Step-by-step explanation:

big brain

There are 42 boys in the sixth grade. The number of girls in the sixth grade is 35. Lonnie says that
means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is
16:5.
Is Lonnie correct? Show why or why not.

Answers

Answer:

Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Step-by-step explanation:

First, create a ratio comparing the number of boys to girls:

42:35

This can be simplified since both numbers are divisible by 7:

42:35

Divide each number by 7:

6:5

So, Lonnie is incorrect because the ratio is 6:5 and not 16:5.

Answer:

incorrect i think

Step-by-step explanation:

the ration would be 6:5

Someone please help me, what is 13x + 5 - 8x - 3?

Answers

Answer:

5x  

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

thank you that answer is correct.

Answers

You're welcome? :3

I'm sorry if I don't understand what you are asking.

Have an amazing day, my friend!

Using the graph below solve the quadratic equation: x²+x-6- 0

Answers

Answer:

B. x =  -3 or x = 2

Step-by-step explanation:

frank decides to run 5 days a week. the first week he runs 5/6 mile each day. the next week, he runs 20% farther than the first week. the third week he runs 20% farther than the previous week. how many total miles did frank run in the 3 weeks?

Answers

Answer:

it is approximately 3.23333333

hope that helped and plz mark brainliest :D

1. Find the common factors of the given terms.

Answers

Step-by-step explanation:

[tex](ii)\\24y=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot\boxed{y}\\16xy=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{y}\\\\GCF(24x;\ 16xy)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=8y[/tex]

[tex](iii)\\14p^2=2\cdot\boxed{7}\cdot\boxed{p}\cdot p\\\\7pq=\boxed{7}\cdot\boxed{p}\cdot q\\\\28p=\boxed{7}\cdot2\cdot2\cdot\boxed{p}\\\\GCF(14p^2;\ 7pq;\ 28p)=\boxed{7}\cdot\boxed{p}=7p[/tex]

[tex](v)\\6a^3b^2c=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot a\cdot a\cdot\boxed{b}\cdot b\cdot\boxed{c}\\\\24ab^3c^4=\boxed{2}\cdot2\cdot2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot b\cdot b\cdot\boxed{c}\cdot c\cdot c\cdot c\\\\12abc=\boxed{2}\cdot 2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}\\\\GCF(6a^3b^2c;24ab^3c^4;\ 12abc)=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}=6abc[/tex]

[tex](vi)\\16x^3=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\\\\-40x^2=-\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{x}\cdot\boxed{x}\\\\32x^4=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\\\\GCF(16x^3;\ -40x^2;\ 32x^4)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{x}\cdot\boxed{x}=8x^2[/tex]

can you slove this
Brenda has $500 in her bank account. Every week, she withdraws $20 for expenses. Daryl has $650 in his bank account and withdraws $40 each week for expenses. How long will Daryl have less money than Brenda?

Group of answer choices

40x - 20x < 650 - 500

650 + 40x < 500 + 20x

650 - 40x < 500 - 20x

650 - 40x = 500 - 20x

Answers

Answer:

C. 650-40x<500-20x

Step-by-step explanation:

To withdraw means to take away (650-40x       500-20x)

Daryl, allegedly, has less money than Brenda (650-40x<500-20x)

Hope this helps. Have a nice day.

Answer:

650 - 40x < 500 - 20x

Step-by-step explanation:

Can somebody please help me with this question please?

Answers

Answer:

AB=AD

4x=x+15

3x=15

x=15/3

x=5

Answer:

x = 5

Step-by-step explanation:

In a kite, two disjoint pairs of sides are congruent, then

AB = AD , that is

4x = x + 15 ( subtract x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5



On Saturday, a local hamburger shop sold a combined total of 596 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on saturday?

Answers

Answer:

198 hamburgers

Step-by-step explanation:

Because the additive inverse of multiplication is division and since the cheeseburger are three times the number of hamburgers you should divide by three to get how many hamburgers were sold. Hope this helps

Last month, Grayson and Justine sold candy to raise money for their debate team. Justine sold 1 1/5 times as much candy as Grayson did. If Grayson sold 2/3 of a box of candy, how many boxes of candy did Justine sell?

Answers

Answer: 4/5 of a box of candy

Step-by-step explanation:

Justine sold 1¹/₅ times the ²/₃ of a box of candy that Grayson sold.

Justin sold;

= 1¹/₅ * ²/₃

= 6/5 * 2/3

= 12/15

= 4/5 of a box of candy

The graph below represents the system of equations
3x+4y=12 and 2x-y=8.
Which ordered pair is a solution to the system of
equations?
(0,3)
(3,0)
(4,0)
(0,4)
2
1 +
-5 -3 -2
1 2 3 4
1-24
-3
-4
-5

Answers

Answer:

(4, 0)

Step-by-step explanation:

3x + 4y = 12

2x - y = 8

8x - 4y = 32

11x = 44

x = 4

y = 0

Answer: the ordered pair is (4,0)

Step-by-step explanation:

n x 3 = 24
HELP Please answer in full steps.

Answers

Answer:

n=8

Step-by-step explanation:

What times 3 is 24?

In other words, 24 divided by 3, which is 8

Answer:
I’m not sure if you want me to write what is the missing variable but I’m going to do that

Explanation:

N would be 8
Since 8x3=24 or you can also do 24/3 which would give you 8

please help with both! :)

Answers

Answer:

Step-by-step explanation:

for table the equation is

A)   y = 2x + 5

for graph equation is

y = 1/2x -1

A model for a company’s revenue from selling a software package is R(p)=-2.5p^2+600p

Answers

Complete question is;

A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

Answer:

Price to maximize revenue = $100

Maximum revenue = $25000

Step-by-step explanation:

We are told that:

R = -2.5p² + 500p, where p is the price in dollars of the software.

The maximum revenue will occur at the vertex of the parabola.

Thus, the price at this vertex is;

p = -b/2a

Where a = - 2.5 and b = 500

Thus:

p = -500/(2 × -2.5)

p = -500/-5

p = 100 in dollars

Maximum revenue at this price is;

R(100) = -2.5(100)² + 500(100)

R(100) = -25000 + 50000

R(100) = $25000

Salvador reads 13 books from the library each month for y months in a row. Write an expression to
show how many books Salvador read in all. Then, find the number of books Salvador read if he read
for 5 months.

Answers

Answer:

a lot

Step-by-step explanation:

13*5=x
x would equal 65
So 13*5=65
Salvador read 65 books in five months.

Divisibility Am I Missing Something ? Or Am I Right Need Help ASAP

Answers

Answer:

the ones I will write doles not go with 180

so remove them ok

they are 3 and 9

if wrong correct me plsssssss

Mark me brainliest plsss

I will always help you understanding your assingments

have a great day

#Captainpower:)

180/2 is 90, so 2 is divisible

180/3 is 60, so 3 is divisible

180/4 is 45, so 4 is divisible

180/5 is 36, so 5 is divisible

180/9 is 20, so 9 is divisible

180/10 is 18, so 10 is divisible

All numbers are divisible by 180, so you are correct

100 middle school students take a survey that asked him about their food preferences 37 out of 100 students said they prefer pineapples to peaches how would you write this amount as a percent

Answers

Answer:

It would be 37%

1 student equals 1%.

Hope this helps! Have an awesome day <3

X - 12 = -2
I need to solve X

Answers

Answer:

X = 10

Step-by-step explanation:

This is an easy algebra equation that you may not know but the only thing you can do is to add 12 on both sides.  You should get 10 as a result.

Answer:

14

Step-by-step explanation:

14-12= -2

2 + 12=14

X=14 because if u subtract 14 and 12 u get -2 therefore the answer is 14

A VCR and TV were bought for 78.000 each. The shopkeeper made
loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss
percent on the whole transaction.​

Answers

Answer:

Profit % is 1.94% .

Step-by-step explanation:

The CP of both VCR and TV were same that is Rs 78,000 . So ,

[tex] => CP \ of \ the \ buyer \ = \ Rs78,000 \times 2 = Rs 156,000 [/tex]

As per Question , on one he made a loss of 4% and profit of 8% on the other .

And , the net SP would be ,

[tex] => Total \ SP \ = \ \dfrac{96}{100}\times Rs 78,000 + \dfrac{108}{100}\times Rs 78,000 \\\\=> Total\ SP = Rs 74,800 + Rs 84240 \\\\\boxed{\red{\bf => Total \ SP= Rs 159,040 }}[/tex]

So , here clearly SP > CP . So , there's a profit .Hence profit % would be :-

[tex] => Profit \% = \dfrac{ SP - CP }{CP}\times 100 \\\\=> Profit \% = \dfrac{Rs 159,040-Rs156,000}{Rs156,000}\times 100 \\\\=> Profit\% = \dfrac{3040}{156000}\times 100 \\\\\underline{\blue{\bf => Profit\% = 1.94 \% }}[/tex]

The equation of line v is y = -x + 9. Line w, which is perpendicular to line v, includes the
point (2, 3). What is the equation of line w?

Answers

Answer:

y=x+1

Step-by-step explanation:

In order to find the slope that is perpendicular to a given line, you have to take the fraction form (-1/1), flip it (1/-1), and give it an opposite sign (1/1).  Now since we now know our slope we can draw y=x to find what do we have to add.  Since y=x crosses (2,2), we know we have to add 1 to the equation in order to bring it to (2, 3).

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