Which representation shows a proportional relationship between x and y?

Which Representation Shows A Proportional Relationship Between X And Y?

Answers

Answer 1

Answer:  D

Step-by-step explanation:

To have a proportional relationship, the value of y divide by x has to have the same constant value and if you were to graph it, it has to go through the origin.

A is not proportional because it is not going through the origin.

B is also not proportional because it is also not going through the origin.

Now to find out if C is proportional divide the y value by x so see if they all have a constant change.

8/2 =4

16/4 = 4

24/8 = 3

32/ 12 = 2.6  

This is also not proportional .

D. 3/2 = 1.5

   6/4 = 1.5

 12/ 8 = 1.5  

 18/12 = 1.5  

This represents a proportional relationship  because they all have a constant change

Answer 2

The proportional relationship between x and y will be given by option D.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let's check all the options:

Option A because the line has intercept.

Option B because the line is zero.

Option C:

The slope is given as,

Slope = (16 - 8) / (4 - 2) = 4

Slope = (24 - 16) / (8 - 4) = 2

Slope = (32 - 24) / (12 - 8) = 2

Option D:

The slope is given as,

Slope = (6 - 3) / (4 - 2) = 3/2

Slope = (12 - 6) / (8 - 4) = 3/2

Slope = (18 - 12) / (12 - 8) = 3/2

The proportional relationship between x and y will be given by option D.

More about the ratio and the proportion link is given below.

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Related Questions

Values of k for which the quadratic equation 2x - kx + k 0 has equal roots is
a)0only
b)4
c)8 only
d)0,8​

Answers

Answer:

The answer is D.

Step-by-step explanation:

We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: D = 0 ,a = 2,b = k,c = k[/tex]

[tex]0 = {k}^{2} - 4(2)(k)[/tex]

[tex] {k}^{2} - 8k = 0[/tex]

[tex]k(k - 8) = 0[/tex]

[tex]k = 0[/tex]

[tex]k - 8 = 0[/tex]

[tex]k = 8[/tex]

What is the profit percentage if the selling price is Rs 3000 and the cost price is RS 2000? * 5% 15% 50% 100%

Answers

3000/2000 = 1.5

3000 is 1.5 time as much as 2000. or 3000 is 50% bigger than 2000

answer: 50%

Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the lower 48 states, the percentage loss of wetlands per state is as follows:
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
The percentages are concentrated from 20% to 60% The percentages are concentrated from 60% to 90%
There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands.
These data are strongly skewed left.
These data are fairly symmetric, perhaps slightly skewed right.
There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
There are no gaps in the data.

Answers

Question Completion:

How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)

Answer:

1. The percentages are concentrated from 20% to 60%.

2. These data are strongly skewed left.

3. There are no gaps in the data.

Step-by-step explanation:

1. Data

Percentage loss of wetlands per state

46 37 36 42 81 20 73 59 35 50

87 52 24 27 38 56 39 74 56 31

27 91 46 9 54 52 30 33 28 35

35 23 90 72 85 42 59 50 49

48 38 60 46 87 50 89 49 67

2. Re-arrangement of

Percentage loss of wetlands per state (in ascending order)

9    20  23  24  27  27   28  30

31   33  35  35  35  36   37  38  

38  39  42  42  46  46   46 48

49  49   50  50  50  52   52 54

56 56   59  59  60  67   72  73  

74  81  85  87   87   89  90  91  

What is the difference between a tax credit and a tax deduction?
a. A tax credit represents money owed to you, while a tax deduction represents money you owe.
b. A tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
c. A tax credit is owed money that collects interest, while a tax deduction is money that you do not have to pay.
d. A tax credit occurs if you underpaid during the year, and a tax deduction occurs if you overpaid.
It is B

Answers

The difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.

What is Tax?

A financial charge that is imposed on a taxpayer in order to fund government spending and public expenditures is called tax. It is imposed by a governmental organization. It is a compulsory charge.

Given is tax credit and a tax deduction.

Tax credits and a tax deductions are same in a way that they will decrease what you pay in taxes. However, the method in which each of them work is quite different. Tax deductions lower your taxable income and will reduce what you'll pay in taxes, while tax credits reduce your tax bill dollar for dollar and may even increase your refund.

Therefore, the difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.

To solve more questions on tax credits and deductions, visit the link below-

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Answer: B

Step-by-step explanation:

trust

Order from least to greatest.


3.5, -2.1, square root of 9, -7/2, and square root of 5.

Answers

Answer:

-7/2,-2.1,√5, √9, 3.5

Step-by-step explanation:

The problem statements needs to be properly formatted

3.5, -2.1, √ 9, -7/2, and√5.

let us find all square roots given in the list

√ 9= 3

√5= 2.23

hence we have 3.5, -2.1, 3, -7/2, and 2.23.

Also let us convert all fractions to decimal numbers

-7/2= -3.5

3.5, -2.1, 3, -3.5 and 2.23.

from least to greatest we have

-3.5,-2.1,2,2.23,3,3.5

or

3.5, -2.1, √ 9, -7/2, and√5.

-7/2,-2.1,√5, √9, 3.5

k+a=500
how do i get k alone on one side of the equation ?

Answers

Answer:

k = 500 - a

Step-by-step explanation:

[tex]k + a = 500[/tex]

As we need "k" alone in one side of eqn. , we need to substract "a" on both the sides of the eqn. so that we can cancel "a" which on the left side.

[tex]k + a - a = 500 - a[/tex]

[tex] = > k = 500 - a[/tex]

Which angles are adjacent to each other?

Answers

The answer is HAI and EAD

Adjacent angles are when two angles have a common side and a common vertex and don’t overlap :)

Step-by-step explanation

dab and aeb

they are adjacent

5/4÷1/3 please help ​

Answers

Answer:

3.75 Or 15/4

 

Answer:

15/4 or 3.75

Step-by-step explanation:

[tex]\frac{5}{4} : \frac{1}{3} = \frac{5}{4} . 3 = \frac{5 . 3}{4} = \frac{15}{4}[/tex]


What is the quotient of 75,120 ÷ 16?

Answers

Answer:

4695

Step-by-step explanation:

Answer:

4,695

use long divison

Which of the following is not an example of a perfect square? a √9 b √200 c √4 d √64

Answers

Answer:

b= 200 is not an example of a perfect square

An ad for an above-ground pool states that it is 25 m2. From the ad, you can tell that the pool is a circle. If you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim? Express your answer in three significant figures.

Answers

Answer:

d ≈ 5.64 m

Step-by-step explanation:

We are told that the pool is circular and that the area is 25 m².

Now, the longest chord that connects two points in a circle is the diameter.

Thus, the longest distance d will be the diameter

Area of circle is given by the formula;

A = πr²

Thus;

25 = πr²

r² = 25/π

r = √(25/π)

r = 5/√π

Diameter is twice the radius. Thus;

d = 2 × 5/√π

d = 10/√π

d ≈ 5.64 m

At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean? (write your answer as a fraction)

Answers

Answer: 15/32

Step-by-step explanation:

The data that we have is:

5/8 of the vegetable sold where green.

of theses 5/8, 3/4 were string beans.

Then the 3/4 is applied to the 5/8 of green vegetables.

Then the fraction (of the total number of vegetables) that were string beans was:

F  = (3/4)*(5/8) = (3*5)/(4*8) = 15/32

y=-5x+6. y=3x-2 what do the values of x and y represent​

Answers

Answer:

x=1; y=1

Step-by-step explanation:

Step-by-step explanation:

Given:

y=-5x+6 ----------(1)

y=3x-2 ----------(2)

As L.H.S from equation 1 and 2 are equal R.H.S will also be equal

Therefore

-5x+6=3x-2

-5x-3x=-2-6

-8x=-8

x=1

put x=1 in equation (1)

y=-5×1+6

y=-5+6

y=1

Therefore , x=1 and y=1.

Alan sells electronics, earning a base wage of $320 for one week, and a commission equal to 5% of his sales. he needs to earn at least $600 each week to cover his expenses. set up and solve an inequality to determine what Alans sales can be in order to ensure his expenses are covered.

Answers

Answer:

320 +0.05s ≥ 600sales ≥ $5600

Step-by-step explanation:

For sales of 's', Alan's earnings will be ...

  320 +0.05s

He wants that to be at least 600, so the inequality is ...

  320 +0.05s ≥ 600

__

Its solution is found by subtracting 320 and dividing by 0.05.

  0.05s ≥ 280

  s ≥ 5600

Alan's weekly sales must be at least $5600 for his earnings to cover his expenses.

Help i dont understand Pls Help :( Given h(x)=4x-4h(x)=4x−4, solve for xx when h(x)=0h(x)=0.

Answers

Answer:

x=1

Step-by-step explanation:

So when it's h(5)= whatever equation you all the x in the equation to 5 and solve. When it says h(x)=0, it's asking you to find x for the equation to equal 0.

It's easy! all you have to do is set the equation to 0

so 4x-4=0

add 4 from both sides

4x = 4

divide

x=1

Use known logical equivalences to prove that a → (b → c) is logically equivalent to (a ^ b) → c.

Answers

Answer:-

a ∨ ( b ∨ c )    ⇔ (a ∨ b )∨ c ⇔ (a∧b)∨c ⇔(a∧b)→c

Step-by-step explanation:

Explanation :-

we know that   b→ c ⇔ b∨c

Replacing b→ c ⇔ b ∨ c , we get

               a → b ∨ c ,

By the same rule b→ c ⇔ b∨c

                     ⇒   a ∨ ( b ∨ c )

Now

 a ∨ ( b ∨ c )    ⇔ (a ∨ b )∨ c ⇔ (a∧b)∨c ⇔(a∧b)→c

the formula for the surface area of.a cube is S = 6x squared where x is the length of one side. find the length of the side of a cube with a surface area of 150 square imches HELP NOWwww!!!!!

Answers

Answer:

5 in

Step-by-step explanation:

S = 6x² is the formula and S = 150 in²

Therefore we have:

150 = 6x²x² = 150/6x² = 25x = √25x = 5 in

Side of the cube is 5 in

Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)

Answers

Answer:

The answer is

[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a given line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4, -9), (-6, -6)

The midpoint is

[tex]M = ( \frac{ - 4 - 6}{2} , \: \frac{ - 9 - 6}{2} ) \\ = ( - \frac{10}{2} , - \frac{15}{2} )[/tex]

We have the final answer as

[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]

Hope this helps you

what is the answer to 8x²+7y²-3x²+5y²=12​

Answers

Answer:

-5x/12y

Step-by-step explanation:

look at the attachment

Answers

Answer:

x=-6

For PA:  78-29=49

For AQ:  48+3=51

Step-by-step explanation:

The line is from left to right PAQ

It says PQ is 100 which is the whole line

PA +AQ is PQ so that means:

-13x-29-8x+3=100

-21x-26=100

-21x=126

x=-6

Plug in the x values to PA and AQ

For PA:  78-29=49

For AQ:  48+3=51

I NEED HELP PLEASE WITH PART 2, THANKS!

Answers

Steps to solve:

-6w - 8 + 15w = 2w - 8 + 7w

~Combine like terms

9w - 8 = 9w - 8

~Add 8 to both sides

9w = 9w

~Divide 9 to both sides

0 = 0

All real numbers are solutions.

Set builder notation: {x | R}

Best of Luck!

Solve for x. Show steps.

1. 3x = 2x + 2

2. 3x + 5 = 4x + 1

3. 6x + 3 = 3x + 12​

Answers

Step-by-step explanation:

3x = 2x + 2

3x - 2x = 2

x = 2

2. 3x + 5 = 4x + 1

4x - 3x = 5 - 1

x = 4

3. 6x + 3 = 3x + 12

6x - 3x = 12 - 3

3x = 9

x = 3

Give two ways to write the algebraic expression:
10s

Answers

Answer:

10 * s, 10(s), s(10), s * 10.

Step-by-step explanation:

Hope this helps

which equation has the same solution as x -12 = 40

Answers

Steps to solve:

x - 12 = 40

~Ad 12 to both sides

x = 52

Best of Luck!

Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas.
Both work at a constant rate. They work together for 6 hours and fill 126 boxes,
Adsila fills 9 boxes every hour. How many boxes does Carlos fill every hour?

Answers

Answer:

12 boxes an hour

Step-by-step explanation:

If Adsila made 9 boxes an hour for 6 hours,she made 54 boxes (9*6=54). Take how many she made away from the total (126-54=72). If Carlos made 72 boxes in 6 hours, divide 72 by 6 to get 12 (72/6=12). Carlos made 12 boxes an hour.

You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance

Answers

Answer:

17. . . . . . . . . . . . . . . "" " . . .

Answer:

$213

- $68

______

 $145

- $128

______

  $17

Step-by-step explanation:

If you start with $213 and withdraw $68 it would be $145 and then withdraw $128 you would only have $17 dollars left in your savings.

Write the coordinates of the vertices after a rotation 90° clockwise around the origin. If B=(-7, 0), C=(-1, 0), D=(0, 4), E=(-6, 4).

Answers

Answer:

hh8egu

Step-by-step explanation:

Hh8egu that’s the answer hope this helped

Distribute the negative sign: -(x - 6y)

Answers

Answer:

- x + 6y

Step-by-step explanation:

Step 1:

- ( x - 6y )

Answer:

- x + 6y            

To open up the parentheses you have to turn the negative into a positive.

Hope This Helps :)

i have 4 questions

1. Suppose point T is between points R and V on a line. If RT = 63 units and RV = 131 units, then what is TV? 131 194 68 80

2.Given point P is between M and N. If MN = 26, MP = x + 4, and PN = 2x + 1, what is the value of x? x = 3 x = 7 x = 12.5 x = 22

3.Given M is the midpoint of HJ, HM = 4x - 12, and MJ = 3x + 9. What is the value of x?

4.If D is the midpoint of CE, DE = 2x + 4, and CE = 6x + 2, then what is CD?

Answers

Answer:

1.   [tex]TV = 68[/tex]

2.  [tex]x = 7[/tex]

3.   [tex]x = 21[/tex]

4.    [tex]CD = 8[/tex]

Step-by-step explanation:

Solving (1):

Given

[tex]RT = 63[/tex]

[tex]RV = 131[/tex]

Required

Determine TV

To solve TV, we make use of the following formula;

[tex]RV = RT + TV[/tex]

Substitute values for RT and RV

[tex]131 = 63 + TV[/tex]

Make TV the subject of formula

[tex]TV = 131 - 63[/tex]

[tex]TV = 68[/tex]

Solving (2):

Given

[tex]MN = 26[/tex]

[tex]MP = x + 4[/tex]

[tex]PN = 2x + 1[/tex]

Required

FInd x

To solve x, we make use of the following formula;

[tex]MN = MP + PN[/tex]

Substitute values for MP, MN and NP

[tex]26 =x + 4 + 2x + 1[/tex]

Collect Like Terms

[tex]2x + x = 26 - 4 -1[/tex]

[tex]3x = 21[/tex]

Divide both sides by 3

[tex]x = 7[/tex]

Solving (3):

Given

[tex]HM = 4x - 12[/tex]

[tex]MJ = 3x + 9[/tex]

Required

Find x

Since M is the midpoint;

[tex]HM = MJ[/tex]

This gives

[tex]4x - 12 = 3x + 9[/tex]

Collect Like Terms

[tex]4x - 3x = 12 + 9[/tex]

[tex]x = 21[/tex]

Solving (4):

Given

[tex]CE = 6x + 2[/tex]

[tex]DE = 2x + 4[/tex]

Required

FInd CD

Since D is the midpoint;

[tex]CD= DE[/tex]

and

[tex]CE = CD + DE[/tex]

Substitute CD for DE

[tex]CE = DE + DE[/tex]

[tex]CE = 2DE[/tex]

Substitute values for CE and DE

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

Open Bracket

[tex]6x + 2 = 4x + 8[/tex]

Collect Like Terms

[tex]6x - 4x = 8 - 2[/tex]

[tex]2x = 6[/tex]

Divide both sides by 2

[tex]x = 3[/tex]

Recall that;

[tex]CD= DE[/tex]

So;

[tex]CD = 2x + 4[/tex]

Substitute 2 for x

[tex]CD = 2 * 2 + 4[/tex]

[tex]CD = 4 + 4[/tex]

[tex]CD = 8[/tex]

Solve the following equation for x: 2x + 5y = 8

Answers

X=4- 5y/2 and Y=8/5-2x/5

Answer:

x=4-5/2y

Step-by-step explanation:

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