Does the table show a proportional relationship, if so , what is the value of y when x is 10

Does The Table Show A Proportional Relationship, If So , What Is The Value Of Y When X Is 10

Answers

Answer 1
the table does show a proportional relationship, and the value of Y when X is 10 would be 3 1/3.
Answer 2

Yes, the given table shows a proportional relation with constant of proportionality  1/3.

What are proportional relation?

Two variables x and y are in proportional relation if the relation between  then is in the form y = k x, where k is the constant of proportionality.

Or we can say for all pairs ( x, y ) , y/x = k , k is constant then the table containing (x, y) values shows a proportional relationship.

From given table

When x= 5 , y =[tex]1\frac{2}{3}[/tex] =5/3

Then, y/x = (5/3)/5 = 1/3 =k

When x =6 , y =2

Then, y/x = 2/6 = 1/3 =k

When  x =  7 , y = [tex]2\frac{1}{3}[/tex] = 7/3

Then, y/x = (7/3) /7 = 1/3 =k

When x=8 , y =[tex]2\frac{2}{3}[/tex] = 8/3

Then , y/x = (8/3) / 8  = 1/3 =k

Thus for each pair (x, y) given in the table the ratio y/x is same , this ratio is say k = 1/3

Therefore, for the given table y/ x = k or y =k x with k = 1/3 , and the table  shows a proportional relation with constant of proportionality  1/3.

Also, Learn more about proportionality constant from the link below:

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Related Questions

CAN SOMEONE HELP THIS IS DUE

Hicham El Guerrouj of Morocco set a world record by running 1 mile in 3 minutes, 43.13 seconds on July 7, 1999. What was his time in miles per hour?

Answers

Answer:

His time in mph is 16.1 mph

What is the domain of the following function? Show work
f(x)=(2x-1)/((2x^2)-9x+10)

Answers

Step-by-step explanation:

f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10

= 2X-1 ) /( 2X- 5 ) ( x - 2 )

set of zeros of denominator are :

2X- 5 . = 0

X= 5/2

or

X-2=0

X=2

set of zeros of denominator = { 5/2 ,2 }

domain = R - { 5/2,2 }

Ronald measured a house and its lot and made a scale drawing. The front patio, which is 14 meters wide in real life, is 7 millimeters wide in the drawing. What scale did Ronald use?

Answers

Answer:

2 metre= 1millimetre

Step-by-step explanation:

From the measurement of the house The front patio, is 14 meters wide in real life, is 7 millimeters wide in the drawing

Real life= 14 meters

Drawing= 7 millimeters,

The scale he used is 2 metre= 1millimetre

Which means he magnify the drawing by scale of 2 metre to get the real life structure.

✓Let us clarify it

14 meters = 7 millimeters

2 metre= x millimeter

If we cross multiply

7 millimeters× 2 metre= 14 metre × X millimeters

Make X subject of the formula we have

X= 1millimetres

Graph the line
y=-2x=2

please hurry!

Answers

Answer:

-1,0

0,-2

slope is -2/1

Answer:

View the Screenshot that I have sent.

If 4(r + 2) – 13 = 11, what is the value of r?

Answers

r=8
Hope this helps:)

Given
f
(
x
)
=
1
2
(
8

x
)
, what is the value of
f
(

10
)
?

Answers

Answer:

3 Tell me if this help you

Here is a map of an island with cities A, B and C

Answers

not tryna be rude but theres no map

Step-by-step explanation:

a) The three figures are 480 km, 240 km, and 300 km.

b) Kenzi has driven 60 km further than Jafar.

We have,

a)

The three figures bearing B from A are:

1 cm = 200 km

This means,

AB = 2.4 cm

So,

2.4 x 200 = 480 km

And,

BC has two parts:

1.2 cm and 1.5 cm

1.2 cm x 200 km = 240 km

1.5 x 200 km = 300 km

The three figures are 480 km, 240 km, and 300 km.

Now,

Jafar distance.

= AB

= 480 km

Kenzi distance.

= BC

= 240 km + 300 km

= 540 km

The difference between the distance driven.

= 540 km - 480 km

= 60 km

This means,

Kenzi has driven 60 km further than Jafar.

Thus,

The three figures are 480 km, 240 km, and 300 km.

Kenzi has driven 60 km further than Jafar.

Learn more about expressions here:

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1) Dave is 9 years older than his brother.
Dave is also 9 years younger than twice
his brother's Ige. How old is each?

Answers

Answer:

Dave is 27. His brother is 18.

Step-by-step explanation:

Dave is 9 years older than his brother, so if his brother is 18, he is 27. If you doubled the brother's age (18) you would get 36. Then you subtract 36 by 9 and get 27. <3

Prove that sin(x) + tan(x) = 1 + sec(x)/csc(x) by using trigonometric identities.

Answers

Answer:

Step-by-step explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved

The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
HELPPP
PLEASSE
DONT SWIPE PAST:,(
I SAW THATTT
My b for accusing you:,)

Answers

Step-by-step explanation:

Percentage increase = (279 - 180)/180 x 100% = 55%

this is a topic on percentage. the above question requires a use of a kind of formula if you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I've already posted some notes on this topic and will be doing more on others and also I'll be providing tips on some topics as well!

Answer:

55% increase

Step-by-step explanation:

First I want to say I recommend using sites like Calculator soup, and finding the option "percent increase calculator", for problems like these instead of wasting any points that you could use later on, and Secondly (happy to help), oof and third:

1) subtract the final value minus the starting value

279 - 180= 99

2) Divide that amount by the absolute value of the starting value

99 divided by 180 equals .55

3) Multiply by 100 to get percent increase

changes to 55.00 (final answer 55%)

4) If the percentage is negative, it means there was a decrease and not an increase.

Percentage Increase Formula

7) Norachai spent $13 on a magazine and some erasers. If the
magazine cost $4 and each eraser cost $3 then how many erasers did
he buy?

Answers

Answer:

3

Step-by-step explanation:

Magazine $4

13-4=9

9/3=3

3 erasers and 1 magazine

COULD I PLS GET HELP WILL GIVE BRAINLIEST IF POSSIBLE

Answers

Answer:1. f(x) is translated 15 units to the left 2. f(x) is vertically stretched

Step-by-step explanation:

I took this class last year

Answer:

f(x) is translated 15 units to the left 2. f(x) is vertically stretched

Step-by-step explanation:

A tiny aeroplane accelerates at 35 m/s2 with a force of 20 N. What is the mass of the aeroplane?

Answers

Answer:

17/2

Step-by-step explanation:

what is the slope of the line, (-6, -8) and (2, 8)?

Answers

Answer:

Your slope would be 2.

Step-by-step explanation:

To find the slope, you would need to use the formula: y2-y1/x2-x1

In this case, the equation would be 8-(-8)/2-(-6)

8 - (-8) = 16

2 - (-6) = 8

16/8 = 2

Slope: 2

Help find domain and range

Answers

the answer is 2 because you plug 2 in 3x
Yo jus use desmos.com. It’s really good for graphing and tells you all the important intersecting points on a graph.

how many minutes are there in one monty​

Answers

Answer:

43200 minutes

Step-by-step explanation:

60×24×30=43200

Answer:

44,640??

Step-by-step explanation:

there is 24 hours a day multiply 24 to 31 answer is 744,

744× 60=44,640

d) A company increased the monthly salary of its employees by 20%. If an employee
gets Rs 6000 now, find his previous salary.​

Answers

Answer: 4800
______________
Explanation:

6000* 20/100= 1200
6000-1200= 4800

Solve - 2x - 7 > 5x + 14.
O A. x < -3
B. X > -3
C
C. x < -5
D. I > -5
please help

Answers

Answer:

hope this is not to hard to understand

Answer: Thanks for the points

Step-by-step explanation:

An element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?

Answers

9514 1404 393

Answer:

  43.2 grams

Step-by-step explanation:

The exponential equation for the decay can be written as ...

  amount remaining = (initial amount)(1 -decay rate)^t

  = 570(1 -0.18)^t

We want to find the amount remaining after 13 minutes. Evaluating this equation for t=13, we have ...

  amount remaining = 570(0.82^13) ≈ 43.2 . . . grams

30 POINTS What is the answer????

Answers

Answer:

Step-by-step explanation:

the third i think

If you study an extra 10 hours a week for a year (52 weeks) and you earn a four-year scholarship valued at $50,000, what is your hourly return on your investment in study time?

Answers

Answer:

 $96.15

Step-by-step explanation:

Step one:

given data

total number of weeks =52 weeks

study time per week is = 10 hours

total study time for the year = 52*10

=520 hours per year.

Step two:

given that the value of the scholarship for one year is $50,000.

we want to find the amount that an hour of study brings

so we have to divide the total scholarship by the amount of study time

50000/520

=$96.15

your hourly return on your investment in study time is $96.15

Label the number that is on the numberline

Answers

Answer:

0.4

Step-by-step explanation:

Since there are 5 spaces between the 1 and 0, each tick represents [tex]\frac{1}{5}[/tex] or 0.2 units. Counting up from 0 you get 0.4

Answer:

0.4

Step-by-step explanation:

1 divide by the number of lines:  1 / 5 = 0.20.2 multiply by the number of lines where the arrow is pointing at0.20 x 2 = 0.4

therefore, the answer is 0.4

Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

[tex]Length: 10\ in[/tex]

[tex]Width: 8\ in[/tex]

Required

Determine the possible dimensions of Rectangle B

The question has missing options; however, the question can still be solved.

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

[tex]Length: 15 in[/tex]

[tex]Width: 12 in[/tex]

Divide the corresponding lengths of B by A to get the enlargement ratio

[tex]Ratio = \frac{B}{A}[/tex]

For length:

[tex]Ratio = \frac{15}{10}[/tex]

[tex]Ratio = 1.5[/tex]

For width

[tex]Ratio = \frac{12}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

[tex]Length: 20\ in[/tex]

[tex]Width: 10\ in[/tex]

Calculate Ratios

[tex]Ratio = \frac{B}{A}[/tex]

For length:

[tex]Ratio = \frac{20}{10}[/tex]

[tex]Ratio = 2[/tex]

For width

[tex]Ratio = \frac{10}{8}[/tex]

[tex]Ratio = 1.25[/tex]

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy

Symplify the expession 71 2/3% helppp

Answers

Answer:

0.71(6)

Step-by-step explanation:

the ending of "6" is forever.

what are the solutions of the following system?

[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]

Answers

Step-by-step explanation:

x-2y=-6 ...(1)

-2x+4y=-3 ...(2)

Multiply equation (1) by 2

So,

2x-4y=-12 ...(3)

Now add equation (2) and (3).

-2x+4y + 2x-4y = -3+(-12)

0=-15

It means that there is no solution of the given equations.

la expresión que se muestra abajo re presenta la utilidad en la producción de una nueva libreta profesional ,¿para que el valor positivo "X" la utilidad resulta igual a cero?
a)10
b)10/9
c)770/9
d)670/9
ayúdenme porfavor​

Answers

Answer: a) 10

Step-by-step explanation:

Buscando en google, encuentro que la expresión es:

C(x) = 9*x^2 - 80*x - 100

Queremos encontrar el valor de x (positivo), tal que esa expresión sea igual a cero, entonces tenemos que resolver:

9*x^2 - 80*x - 100 = 0.

Para ello podemos recordar la ecuación de Bhaskara, que para una ecuación de la forma:

a*x^2 + b*x + c = 0

Las soluciones son:

[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2a}[/tex]

en este caso, tenemos:

a = 9

b = -80

c = -100

Entoces, las soluciones van a ser:

[tex]x = \frac{-(-80) +- \sqrt{(-80)^2 - 4*9*(-100)} }{2*9} = \frac{80 +- 100}{18}[/tex]

Entonces las dos soluciones son:

x = (80 - 100)/18 = -20/18 = -10/9

Esta solución la descartamos, pues es negativa. La otra solución es:

x = (80 + 100)/18 = 180/18 = 10

La opción correcta es a: 10

Honestly I don't know what to do at this point please help

Joe is working at the storage yard. It is 50 yards from the entrance (V) to the checkpoint (W). From there, it is 40 yards to the guard post (X). From his spot at the guard post, Joe notices a barrel tipped over 12 yards away (Z). The spill stretches to the fence (Y). If AXYZ is similar to AXVW, what is the distance d across the chemical spill? * zd Y 12 yd X 40 yd 50 yd W​

Answers

Answer:

15 yds

Step-by-step explanation:

40 divided by 50 equals 4/5, so the lengths of the other triangle have to match that ratio. 3 fits into 12 four times and 15 five times, which makes it a four to five ratio.

Perform the indicated operations. 2−26 −48−16 07−6 76 −200 −73 Arrow −48−16 07−6 −200 −73 1−13 −48−16 07−6 38 −200 −73 Arrow 1-13 07−6 38 −73

Answers

Not certain if this question is complete

Answer and Step-by-step explanation:

We perform the operations given, using the rules of subtraction and addition on the number line:

Two negative signs adds up to a negative result, one negative number and positive number may add up to a negative or positive value depending on which is bigger :

2-26= -24( the positive value 2 reduces negative value by 2 and we are left with -24)

-48-16= -64( two negative values add up to a negative value)

07-6= 1( seven is bigger than 6 hence positive result)

We use the above method to solve the given expressions

+76-200-73= -124-73=-192

-48-16=-64

+7-6-200-73=-199-73=-272

+1-13=-12

-48-16=-64

+07-6=1

+38-200-73=-162-73=-235

1-13=-12

07-6=1

38-73= -35

1, -1, 3, 38   &   0, 2, -2, -24

I need help with #22 & 23 ASAP!!!!please explain so I can understand

Answers

Answer:

22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)

Step-by-step explanation

22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.

23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.

Given: m || n and p is a traversal.
Prove: m<2=m<7
What is the missing reason in the proof?

Answers

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are congruent.

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