which table shows a proportional relationship between x and y ?

Which Table Shows A Proportional Relationship Between X And Y ?

Answers

Answer 1

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

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

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

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

[tex]k = \frac{4}{2}[/tex]

[tex]k = 2[/tex]

x = 4, y = 9

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

[tex]k = \frac{9}{4}[/tex]

[tex]k = 2.25[/tex]

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

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

[tex]k = \frac{4}{3}[/tex]

[tex]k = 1.33[/tex]

x = 9, y = 16

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

[tex]k = \frac{16}{9}[/tex]

[tex]k = 1.78[/tex]

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

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

[tex]k = \frac{12}{4}[/tex]

[tex]k = 3[/tex]

x = 5, y = 15

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

[tex]k = \frac{15}{5}[/tex]

[tex]k = 3[/tex]

x = 6, y = 18

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

[tex]k = \frac{18}{6}[/tex]

[tex]k = 3[/tex]

This shows a proportional relationship because all values of k are the same for this table


Related Questions

Identifica la base y el exponente; entonces halla el valor
53
Base
Exponente

Answers

hmm, la base el 5. la exponente el 3?

See attached picture

Answers

Answer:

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 8 - x^2[/tex]

Required

Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]

First, we calculate f(x + h)

[tex]f(x) = 8 - x^2[/tex]

[tex]f(x+h) = 8 - (x+h)^2[/tex]

[tex]f(x+h) =8- x^2-2xh-h^2[/tex]

So, we have:

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]

[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]

How many 50p’s are in £6

Answers

Answer:

12

Step-by-step explanation:

2 of, 50 pence, = 1 pound. So multiply 6 by 2, you get 12. Your answer should be 12.

Hope this helps!

Maybe brainliest?

An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers
3,056
Thunder Ridge
4,125
The markup for both swing sets is 20%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,

Answers

Answer: The answer is 3674.84

The selling price of Adventurers swing set is $3,667

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Example:

50% = 50/100 = 1/2

We have,

Adventurers swing set wholesale selling price = $3056

Markup means the amount increased.

20% Mark up on the price:

= 20% of 3056

= 20/100 x 3056

= $611.2

The selling price of Adventurers swing set:

= $3056 + $611.2

= $3,667.2

Rounding to the nearest cent:

= $3,667

Thus the selling price of Adventurers swing set is $3,667

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what is a triangle with 75° 40° 65° classify as?

Answers

Answer:

scalene triangle

Answer:

Acute scalene triangle

Step-by-step explanation:

An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.

An adult human body contains about 10 pints of blood. How many fluid ounces is the equivalent of 10 pints?

Answers

Answer:

160 ounces (im pretty sure sorry if im wrong)

Answer:

160 US fluid ounces

Step-by-step explanation:

A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.

Answers

Answer:

If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

Step-by-step explanation: pls brain list

HELP IT IS 5th GRADE ONLY PLEASE I GIVE ALL STARS AND BRAINLY

Answers

Answer:

the height is 15

Step-by-step explanation:

Divide the area of the base and volume to get the height

which is the best estimate for the sum of 2 7/8 + 2 4/5=

Answers

Answer:

6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6

use the box- and whisker plot to identify the five number summary ​

Answers

Answer:

Min = 11

Q1 = 13

Median = 15

Q3 = 17

Max = 22

Step-by-step explanation:

The five-number summary that is displayed by the box plot above are:

The minimum value: the data value at the start of the whisker to your left = 11

The Q1 value: the data value at the beginning of the edge of the rectangular box = 13

The Median value: the data value at the vertical line that divides the rectangular box into two = 15

Q3 value: the data value at the end of the rectangular box = 17

Max: 22

Solve the inequality below:
-3x +5-16
ALGEBRA

please help

Answers

Answer:

The answer is -14x

Step-by-step explanation:

5 - 16 = -11

-3 + -11 = -14

(all we have left is the x)

-14 + x = -14x

Answer:a

Step-by-step explanation:

Common denominator of 3, 4, 5.

Answers

Answer:

The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .

Step-by-step explanation:

Answer: 60

3 x 4 x 5 = 60

The area of the white square is 64 square units. The diagonal of the square was extended to point A until the length of segment AB was double the length of the diagonal of the square. What is the area of the gray part?

Answers

Answer:

Area of the gray region = 64 square units

Step-by-step explanation:

Area of the white square = 64 square units

Length of a side of the given square = [tex]\sqrt{\text{Area}}[/tex]

                                                             = [tex]\sqrt{64}[/tex]

                                                             = 8 units

By Pythagoras theorem,

Length of diagonal DB = [tex]\sqrt{BC^2+CD^2}[/tex]

DB = [tex]\sqrt{8^2+8^2}[/tex]

     = [tex]8\sqrt{2}[/tex]

AD = DB = [tex]8\sqrt{2}[/tex] [Given]

OD = OC = [tex]\frac{1}{2}(DB)[/tex]

               = 4√2

Therefore, AO = AD + OD = 8√2 + 4√2

                                           = 12√2

Area of ΔACD = Area of ΔAOC - Area of ΔCOD

                        = [tex]\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)[/tex]

                        = [tex]\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2][/tex]

                        = [tex]\frac{1}{2}[96-32][/tex]

                        = 32

Therefore, area of gray part = Area of ΔACD + Area of ΔAED

                                               = 32 + 32

                                               = 64 square units

Answer:

64 square units

NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28

Answers

Answer:

d. 28

Step-by-step explanation:

7x = 3x + 16

subtract 3x from both sides: 4x = 16

divide both sides by 4: x = 4

plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28

Please help me this I’m running out of time

Answers

Answer:

I chose 7 as the base and 2 as the Exponent

Step-by-step explanation:

7^2 . 7 is the base and 2 is the Exponent.

Standard Form: 7^2

Expanded Form : 7 • 7 = 49

Can some one help me with this question

Answers

Answer:

180

Step-by-step explanation:

It is always 180 for a angle like this.

Write a plan to prove that angle 1 is congruent to angle 2

Answers

Answer:

alternate interior angles

Step-by-step explanation:

<1 is congruent to <2 by alternate interior angles


Serves 4 people
200 g flour
4 Problem-solving Here is a recipe
for pancakes for four people.
Sophie makes pancakes for 14 people.
She has 800 g of flour, 1200 ml of
milk and 10 eggs.
Does she have enough ingredients?
350 ml milk
2 eggs​

Answers

Answer:

ghjug,yhfgugug kuul

Step-by-step explanation:

8. Which diagram correctly depicts the expression below? -5 - 2 F. G. -6 -4 -2 2 4 -12 -10 -8 -6 -2 0 H. J. -8 -6 -4 -2 0 2 4 -2 4 6​

Answers

Answer:

the sender is 23 I don't no if I am right tho

can anyone help me get the surface area of
2cm
5cm
8cm

Answers

Answer:

according to your question 2cm is length of the rectangle and 5cm width and 8cm height.

so the surface area of rectangle=2(lb+bh+hl)

surface area=2(2×5+5×8+8×2)

SA=2(66)

SA=132cm²

if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.

Find the value of x in each case: (See picture)

Answers

Step-by-step explanation:

180-124=56°

180-56-2x-(180-6x)=0

180-56-2x-180+6x=0

-56+4x=0

4x=56

x=14°

........

2x=28

6x=84

Find the surface area of the prism.
8 m
13 m
12 m
5 m
The surface area is

Answers

Answer:

2,240

Step-by-step explanation:

13*12=156

156*5=280

280*8=2,240

If my math is correct

The height of a rectangle is increasing at a rate of 11 centimeters per hour and the width of the rectangle is decreasing at a rate of 9 centimeters per hour. At a certain instant, the height is 3 centimeters and the width is 8 centimeters. What is the rate of change of change of the area of the rectangle at that instant?​

Answers

Answer:

-39 cm²/h

Step-by-step explanation:

The area of the rectangle is A = hw where h = height and w = width.

So the rate of change of area with respect to time is

dA/dt = d(hw)/dt

dA/dt = hdw/dt + wdh/dt

Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)

So, dA/dt = hdw/dt + wdh/dt

dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)

dA/dt = 33 cm²/h - 72 cm²/h

dA/dt = -39 cm²/h

What is the number of degrees the minute hand of a clock moves between 10:21 pm and
10:34 pm on the same day?

Answers

Answer:

13

Step-by-step explanation:

Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got

Answers

Answer:

1 1/2 cups

Step-by-step explanation:

The point
P
is on the unit circle. If the y-coordinate of
P
is

3
5
, and
P
is in quadrant IV , then

Answers

If the y-coordinate of P is −3/5, and P  is in quadrant IV, then x = 4/5

How to find the coordinate of a unit circle?

In Trigonometry, the unit circle is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.

Now, we are told that the point P is on the unit circle and also we know that the length of the line from P to the origin is exactly 1 unit.

We're also given a y-coordinate as, y = -3/5.

The y-coordinate denotes the length of a perpendicular line from point P to the x-axis.

If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:

x² + y² = h²

Making x the subject gives;

x = √(h² – y²)

Plug in the relevant values h = 1 and y = -3/5 to get;

x = √(1)² – (-3/5)²

x = √1 – 9/25

x = √16/25

x = 4/5

We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such  x is positive.

Thus, x = 4/5

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DJ Jacqueline is making a playlist for an internet radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 7 hip-hop, 14 pop, and 22 blues songs, and she wants to play an equal number of hip-hop, pop, and blues songs, how many different playlists are possible

Answers

Answer:

Probability of selecting two songs from each category

= (22C2)*(14C2)*(7C2)*6!

Step-by-step explanation:

The total songs in the playlist will be 6

Two songs from each playlist

Number of ways of selecting playlist

= N(select 2 from each category and then arrange the selected 6)

Probability of selecting two songs from each category

= (22C2)*(14C2)*(7C2)*6!

If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.

Answers

Sink, because waters density is 1g/cm3, and heavier density things sink

Answer:

The object will sink

Step-by-step explanation:

I) The density of water is 1g/cm³.

II) The object's density is greater than 1g/cm³, thus it will sink.

I want to withdraw 400.00 for 9 years at 8%. How much do I need to deposit

Answers

Answer:

The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.

Step-by-step explanation:

Given

Total accrued Amount A = 400.00 (Let say $)Time period t = 9 yearsInterest rate r = 8% = 0.08

To determine

Principle P = ?

Using the formula

P = A / (1 + rt)

substituting A = 400.00, t = 9 and r = 0.08 in the formula

P = 400 / ( 1 + (0.08 × 9))

P = $232.56

Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.

1st drop down answers are
1. NOT VALID
2. VALID
2nd drop down answers are
1. BIASED
2. UNBIASED
3rd drop down answers are
1. APPROPRIATE
2. INAPPROPRIATE

Answers

Answer:

uhhh i think all postive.

Step-by-step explanation:

conclusion drawings

It has to be not valid if you were choose other you would get wrong
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