Line KJ represents a proportional relationship. Point K lies at (12,14) as shown on the graph below.

Which ordered pair could represent the coordinates of point J?

Line KJ Represents A Proportional Relationship. Point K Lies At (12,14) As Shown On The Graph Below.Which

Answers

Answer 1

Given:

Line KJ represents a proportional relationship.

Point K lies at (12,14).

To find:

The ordered pair of the coordinates of point J.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

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

Where, k is the constant of proportionality.

It means, the ratios of y to x for all the point in a proportional relationship are same.

Line KJ represents a proportional relationship. Point K lies at (12,14).

So, the constant of proportionality is:

[tex]k=\dfrac{14}{12}[/tex]

[tex]k=\dfrac{7}{6}[/tex]

Similarly, find the ratio of y to x for all given points.

In option a,

[tex]\dfrac{3.5}{3}=\dfrac{3.5\times 2}{3\times 2}[/tex]

[tex]\dfrac{3.5}{3}=\dfrac{7}{6}[/tex]

In option b,

[tex]\dfrac{15}{17.5}=\dfrac{15\times 2}{17.5\times 2}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{30}{35}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{6}{7}[/tex]

In option c,

[tex]\dfrac{0}{2}=0[/tex]

In option d,

[tex]\dfrac{3}{3.5}=\dfrac{3\times 2}{3.5\times 2}[/tex]

[tex]\dfrac{3}{3.5}=\dfrac{6}{7}[/tex]

The ratio of y to x of point (3,3.5) is equal to the ratio of given point K(12,14). So, the coordinates of point J are (3,3.5).

Therefore, the correct option is A.


Related Questions

A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an average of $8,900 per policy holder in health care claims, what is the minimum average premium they should charge per policy holder?

Answers

Answer:

$7120 or $7565 is the minimum average premium they should charge per policy holder

Step-by-step explanation:

Small business can charge 80-85% of the total value of the policy as premium.

In this case the spending per policy holder is $8900

Hence, per policy holder has to pay a premium of

80-85% of $8900

$7120 or $7565 is the minimum average premium they should charge per policy holder

Type in the value of x.
12x - 2
130°

Answers

Answer:

Good question could someone answer it. I would like to know also

Which expression is equivalent to "4 times the sum of 3 and x"?
A 4(3x)
B, 4x + 3
C, 3 (x+4)
D. 4(x+3)

Answers

Answer:

D is the equivalent expression

it would be D because if it was 4 TIMES the SUM of 3 AND x it would make sense to multiply 4 by 3 and the x

Luanne and Fiona each made a salt water solution. Luanne mixed 3 cups of salt with every gallon of water. Fiona mixed 2 cups of salt with every 3 gallons water. Which of these statements is true?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Luanne

[tex]Salt = 3\ cups[/tex]

[tex]Gallon = 1[/tex]

Fiona

[tex]Salt = 2\ cups[/tex]

[tex]Gallon = 3[/tex]

The question is incomplete, as the options are not given.

However, possible comparison that can be made are

(a) The unit amount of salt

(b) Whose solution is more concentrated with salt

(a) The unit amount of salt

To do this, we divide the amount of salt by the number of gallons.

[tex]Unit = \frac{Salt}{Gallon}[/tex]

For Luanne

[tex]Unit = \frac{3}{1}[/tex]

[tex]Unit = 3 cups/gallon[/tex]

For Fiona

[tex]Unit = \frac{2}{3}[/tex]

[tex]Unit = 0.67cups/gallon[/tex]

(b) Whose solution is more concentrated with salt

By comparing the result in (a)

We have:

[tex]Unit = 3 cups/gallon[/tex] --- Luanne

[tex]Unit = 0.67cups/gallon[/tex] --- Fiona

Luanne unit amount implies that there are 3 cups in every gallon of water;

Fiona unit amount implies that there are 0.67 cups in every gallon of water;

[tex]3 >0.67[/tex]

Hence, Luanne solution is more concentrated with salt

Tim buys a jacket at $120.00. If he buys it during the Christmas sale,He will pay only 102.00. Calculate the percentage discount. Plz help and explain how to solve it l

Answers

Answer:

15% discount

Step-by-step explanation:

1 - (102/120)

1 - 0.85 = 0.15 = 15%

1. F(-5)=2x+1
2. F(-4)=2x+1
3. F(1)=2x+1
4. F(3)=2x+1
5. F(5)=2x+1

Answers

Answer:

1. F(-5) = -9

2. F(-4) = -7

3. F(1) = 3

4. F(3) = 7

5. F(5) = 11

Step-by-step explanation:

For each problem, F(x) is replaced with x.

An example is F(-5) = 2x + 1 (your first question).

To solve this, you replace x with -5.

This creates F(-5) = 2(-5) +1

We just simplify by multiplying -5 by 2 and then adding 1.

-5 times 2 equals -10. -10 plus 1 equals -9.

Your final answer for this example problem would be F(-5) = -9.

This applies to all problems as such -- F(x) where x inside the parentheses replaces all x values in the equation.

Hope this helped!!

notacion cientifica de 81,300

Answers

Answer:

hola!!thanks for the fact 81,300 from scientific notation

GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!

Answers

Answer:

The answer is option c....

Mark as brainliest

Doug worked out for 256 minutes.

Doug has an enemy named Cathy

Cathy worked out a total of 4 hours and 15 minutes.

Who worked out more? What was the difference in minutes?

Answers

Answer:

Step-by-step explanation:

Cathy worked 4 hours.

4 hours = 4 * 60 = 240 minutes

She worked an additional 15 minutes which brings her total up to 255.

Doug worked 1 minute longer than Cathy.

Answer:

a.) Doug worked more. b.)The difference is one minute.

Step-by-step explanation:

CAN BE DONE DIFFERENTLY

Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.

60

x4

240

Now adding the 15 it'll be 255.

DOUG WORKED MORE.

DIFFERENCE IS 1 MINUTE.

Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?​

Answers

Answer:

8 meters

Step-by-step explanation:

4x2=8

What is a perfect 5 pointed star

Answers

Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.

Step-by-step explanation:

√(4²×49)

__________________________________________

Answers

Hopes this helps:

Answer: 28

Please mark as brainlist

what is a irrational number minus a irrational number?

Answers

Answer:

They won't both be rational but that's about it. If one is rational and the other is not then the result is certainly irrational. Subtracting two irrational numbers might produce a rational value but it might also not. Consider: a=1+2–√, b=2–√ and a=3–√, b=2–√.

Step-by-step explanation:

Answer:

Rational number minus irrational number will result in an irrational number respectively : 2 - √3 is an irrational number. And it's consequent results [ Addition ] will also result the same : Aslike : 2 + √3 is also an irrational number. If you dig deep into the question it is similar to the basic odd minus odd or even minus even.

Hope this helps <3

what is this can someone please help ?

Answers

Answer:

The answer is most likely A

Hope this helps if t does please consider giving brainliest

Cya on the next one!

Step-by-step explanation:

On a trip, Gavin bought a ping-pong racket for $33. With the tax, he paid $36.96. What is the tax rate, in percent?

Answers

Answer:

12%

Step-by-step explanation:

Tax = 36.96 - 33 = 3.96

Tax rate = 3.96/33 * 100 = 12%

Sue and Bill share a 16-ounce box of cereal. By the end of the week, Sue has eaten 5 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?

Answers

Answer: 2 ounce

Step-by-step explanation:

Given

16 ounce of the box is shared by Sue and Bill

Sue has eaten [tex]\frac{5}{8}[/tex] of the box

Bill has eaten [tex]\frac{1}{4}[/tex] of the box

total cereal eaten by them is

[tex]\Rightarrow \dfrac{5}{8}+\dfrac{1}{4}=\dfrac{5}{8}+\dfrac{2}{8}\\\\\Rightarrow \dfrac{7}{8}[/tex]

So, they have eaten this much of the box. Amount left in the box is

[tex]\Rightarrow 1-\dfrac{7}{8}\\\\\Rightarrow \dfrac{1}{8}[/tex]

In ounce it is

[tex]\Rightarrow 16\times \dfrac{1}{8}\\\\\Rightarrow 2\ \text{ounce}[/tex]

the sum of three consecutive numbers is 45. what is the lowest

Answers

Answer:

Step-by-step explanation:

5,1, 9

Answer:

5,1 and 9 like said above sksksk

Step-by-step explanation:

I need this answered ASAP!

Answers

Answer:

29 sq.inches

Step-by-step explanation

2x2+5x3+5x2=29sq .inches

A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?

Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

1963.48

Step-by-step explanation:

25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=

π = 490.87 x 4= 1963.48

what is the correct answer??

Answers

Answer:

8 x 10 = 80

80 divided by 2 = 40

6 x 8 = 48

48 divided by 2 = 24

40 + 24 = 64 in2 is your answer.

Formula of a triangle:

B(base) x H(height) x 1/2(basically dividing by 2)

4/5 N= 2/3. N = ?

2/15
5/6
1 1/5
1 7/15

Answers

Answer:

N = 5/6

Step-by-step explanation:

4/5 N= 2/3.  Find N (solve for N).  

Isolate N.  To do this, multiply both sides of the equation by (5/4):

(5/4)(4/5)N= (5/4)(2/3)

becomes N = 10/12, or N = 5/6.

plz plz answer this question
NO LINKS :)

Answers

Answer:

did you forget a picture?

Step-by-step explanation:

Answer: first post the picture

Step-by-step explanation:

1. Take the picture

2. Post it on Brainly

3. Get your answer

Explain why the following statement IS NOT a statistical question. "How
much electricity did Home 2 use on Day 1?"

Answers

Answer:

Because it only has one answer and there are no variety of answers.

hope this helps

I really need help right now someone help pls!!!

Answers

the answer would be 120 degrees

hii! please help asap. i’ll give brainliest

Answers

It’s either the last or second to last one but I forget what the interquartile range means

Answer: Mean

Step-by-step explanation: the mean, is the average or the expected value that measures the central value of a data set. It is found by adding all of the values in the data set and dividing it by the number of values.

A kite and its tail total 48 ft in length. the tails is 7 times the length of the body. How long is the kite's tail?

Answers

Answer:

42 ft

Step-by-step explanation:

body = x

tail = 7x

x + 7x = 48

8x = 48

Divide both sides by 8

x = 6

Tail

7x = 7(6)

7x = 42

Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared ​

Answers

Answer:

50.24

Step-by-step explanation:

Area = pi*r^2

r = diameter/2

r = 4

Area = pi*4^2

Area = 3.14*16

Area = 50.24

Answer:

Step-by-step explanation:

The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.

Here, with the circle diameter being 8, we figure the radius to be half that, or 4.

Then the area of this circle is A = (3.14)(4 in)², or

                                                 A  =  50.24 in²

Can you please help me with this?

Answers

A town has a population of 10,000 and grows at 5% every year what will be the population after five years to the nearest whole number

Rays PQ and PS are perpendicular to each other.

What is the measure of LRPS plzzzzz

Answers

Answer:

m<RPS = 53 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram shown;

m<QPR + m<RPS = 90

Given that;

m<QPR = x

m<RPS = x+16

Substitute into the formula;

m<QPR + m<RPS = 90

x+x+16 = 90

2x+16 = 90

2x = 90-16

2x = 74

x = 74/2

x = 37degrees

Get m<RPS;

Since m<RPS = x+16

m<RPS = 37 + 16

m<RPS = 53 degrees

which fraction is not greater than 2/5
1/2
1/3
2/3
2/4

Answers

Answer:

1/2

Step-by-step explanation:

hope it helped u alot

Answer:

1/3 is not greater than 2/5

Step-by-step explanation:

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