Which of the coordinate points below will fall on a line where the constant of proportionality is 1/3? Select all that apply.

A) (5,8)

B) (3,1)

C) (9,3)

D) (12,4)

E) (18,6)

Answers

Answer 1

Answer:

The answer is B,C,D and E

Answer 2

The points that show the proportionality rate 1/3 are (3, 1), (9, 3), (12, 4) and (18, 6).

What is proportional relationship?

A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.

We have constant of proportionality is 1/3.

And the proportionality is represented as x/y = k, where x and y are two expressions and k is constant.

So, x / y = 1/3

A) (5,8)

x/y = 5/8 ≠ 1/3

B) (3,1)

x/y = 1/3

C) (9,3)

x/y = 3/9 = 1/3

D) (12,4)

x/y = 4/12 = 1/3

E) (18,6)

x/y = 6/18 = 1/3

Therefore, B, C, D and E are the answers.

To learn more about the proportional relationship;

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Related Questions

The ratio of chairs to tables at a certain restaurant is 20 to 3. If there are 120 chairs in the restaurant, how many tables are there?

Answers

Answer:

20

Step-by-step explanation: 20 divided by 3 is 6, so if you divided that 120 by 6 you get 20.

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Answers

Answer:

7

Step-by-step explanation:

3(2) + 1

3 x 2 = 6

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Answer:

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Step-by-step explanation:

3(2) + 1

6 + 1

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y - 3

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2x+2

x+11

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B. x = 14, y = 9; 11, 11

C. x = 14, y = 9; 6, 16

D. x = 9, y = 14; 6, 16

Answers

Answer:

So, the correct option is A. x = 9, y = 14 , Sides are 11 and 20

Step-by-step explanation:

P.S - the exact question is -

As given in the question ,

Side AB = Side AD

⇒y - 3 = x + 2

⇒y - x = 2 + 3 = 5

⇒y - x = 5                        .........(1)

Also, given

Side BC = Side CD

⇒2x + 2 = x + 11

⇒2x - x = 11 - 2

⇒x = 9

∴ equation (1) becomes

y - 9 = 5

⇒y = 5 + 9 = 14

⇒y = 14

∴ we get

x = 9, y = 14

Now,

as given ,

Side AB = y - 3

⇒ AB = 14 - 3 = 11

Side BC = 2x + 2

⇒ BC = 2(9) + 2 = 18 + 2 = 20

Side CD = x + 11

⇒ CD = 9 + 11 = 20

Side DA = x + 2

⇒DA = 9 + 2 = 11

∴ we get

The sides are 11 and 20

So,

The correct option is A. x = 9, y = 14 , Sides are 11 and 20

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Give a reason for your answer.

Answers

Answer:

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Step-by-step explanation:

Angle AOC= 180°

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or another way to explain is

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

EF/DF

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3820 and his stock in Company B was worth $2960. The stock in Company A has increased 15% since last year and the stock in Company B has increased 5%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

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Step-by-step explanation: Find new values:

3820(1+0.15)=\color{green}{4393}

3820(1+0.15)=4393

2960(1+0.05)=\color{blue}{3108}

2960(1+0.05)=3108

Last Year This Year

Stock A 3820 4393

Stock B 2960 3108

Total 6780 7501

\text{Find overall increase:}

Find overall increase:

6780(1+r)=7501

6780(1+r)=7501

\frac{6780(1+r)}{6780}=\frac{7501}{6780}

6780

6780(1+r)

=

6780

7501

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1+r=1.106342

r=0.106342

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\text{Final Answer: }10.6\%

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Answers

Answer:

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Answers

Answer:

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Attachment is attached below.

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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