Which equation shows a proportional relationship between x and y?


A. y = 9

B. y = 3x + 1

C. y = −3x − 2

D. y = 4x


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Answers

Answer 1

B. y=3x+1

Step-by-step explanation:

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Answer 2

A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y thus option (D) will be correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

A proportional relationship is given as,

A ∝ B

Removing proportionality

A = kB

Here, k is the constant of proportionality.

As per the given in last option,

y = 4x

x = (1/4)y

Removing constant.

x ∝ y

Hence "A proportion relationship is a direct relationship between two variables thus y = 4x will be the proportional relationship between x and y".

For more information about ratios and proportions,

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Kristy uses 9 oranges.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:(x - 4)(2x + 3)

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F -- so multiply first terms in each set....(x)(2x)

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Step-by-step explanation:

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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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Answer:

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Step-by-step explanation:

Write properties of function: Write properties of function:

x intercept/zero:  x = 0

Answer: Write properties of function:

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Answers

Answer:

Step-by-step explanation:

h = 3 ft

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

nearest tenth

......

24= 20

311=310

107=110..........

How do you solve for x and y. Thanks!!




Kinda urgent sorry..

Answers

Answer:

x= 17.5

y= 35

Step-by-step explanation:

Steps are in attachment.

Answer:

• For x (Acute angle property)

[tex]{ \rm{(2x + 10) \degree + 30 \degree + 6x=180 \degree}} \\ \\ { \rm{8x + 40=180}} \\ \\ { \rm{8x = 140}} \\ \\ { \boxed{ \underline{ \rm{ \: \: x =17.5 \: \: }}}}[/tex]

• For y ( Interior angle sum of triangles )

[tex]{ \rm{(y + 10) \degree + 6x \degree + 30 \degree = 180 \degree}} \\ \\ { \rm{y + 10 + 30 + (6 \times 17.5) = 180}} \\ \\ { \rm{y +145 = 180 }} \\ \\ { \boxed{ \underline{ \rm{ \: \: y = 35 \: \: }}}}[/tex]

how to solve

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Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]

Answer:

[tex]\boxed {x=-4}[/tex]

Step-by-step explanation:

[tex]2(x+6)=4[/tex]

Divide both sides by 2 :

[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]

Subtract 6 from both sides:

[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]

______________________

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Answers

Answer:

2a^2

Step-by-step explanation:

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Answers

Answer:

<1=23

Step-by-step explanation:

If WXZ contains both <1 and <2, and <2 is 4 times <1, then we can set this up as x + 4x = 115

This is easily simplified to 5x = 115

Divide both sides by 5 and you will get x=23

. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?

Answers

Answer:

330 day passes, 367 tournament passes

Step-by-step explanation:

The number of day passes sold is 330, while the number of tournament passes sold is 367.

What is a System of equations?

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.

Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.

y = x + 37

Also, The number of tournament passes sold was 37 more than the number of days passes sold.

20x + 30y = 17610

20x + 30(x + 37) = 17610

20x + 30(x+ 37) = 17610

20x + 30x + 1110 = 17610

50x = 16,500

x = 16,500 / 50

x = 330

y = x + 37

y = 330 + 37

y = 367

Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.

Learn more about the System of equations here:

https://brainly.com/question/12895249

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