What is the constant of proportionality?

What Is The Constant Of Proportionality?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

The equation of the following line looks like this:

[tex]y=x[/tex]

In this type of line, every single y value corresponds to the given x value. The slope of this line is considered to be positive one, as you can multiply x by one and still get the same number (Identity property)

A constant of proportionality originates from this type of equation:

[tex]y=kx[/tex]

K is the constant, and the number multiplied by x. It can also be recognized as the slope (m)

I hope I was of assistance! #SpreadTheLove <3


Related Questions

What is the slope of the line through the points (0,-3) and (2,1)?

Answers

Answer:

alright so you got 2 points! now this is the slope formula! y2-y1/x2-x1

okay let's label your points! (x1 0,y1 -3) (x2 2,y2 1)

let's follow the formula this makes it so we can solve! 1--3/2-0

I understand you may get a decimal but don't use 2.5 use a fraction because teachers seem to like fractions and general decimals can be hard to use (experience lol) 2.5 is 5/2 so this means your slope is 5/2

this formula works every single time and if you memorize it you can do any other problems with 2 points! please memorize y2-y1/x2-x1

Find the simple interest paid to the nearest cent for each principal, interest
Rate, and time.
$1,450, 2.5%, 2 years
and
$390, 3%, 5 years

Answers

Answer:

S I = PRT/100

=1450×2.5×2/100

=1455/100

=14.55

S I =PRT/100

390×3×5/100

5850/100

58.5

30 Willow trees are distributed over a geographic area consisting of 50 acres. what is the population density in terms of willow tree per acre?​

Answers

Answer:

There is 1 tree per 1.6 acre.

Step-by-step explanation:

Divide the number of trees from the number of acres. This will tell you how many acres are between each tree.

Answer:

0.6 acres.

Step-by-step explanation:

You divide the total population of the willow tree (30) by the areas they occupy (50 acres). Therefore, 30/50=0.6 population per acre.

Select all equations that have graphs with the same y-intercept.

Group of answer choices

y=3x - 8

y=3x - 9

y=3x + 8

y= 5x-8

y=2x -8

y=1/3x -8

Answers

y=3x-8,5x-8,2x-8,1/3x-8 how to find it is to look at the (x,y) if the equation have the same y (y-intercept)

Emily works at a pretzel shop and uses 3/4 pounds of flour to make 9 pretzels. Each pretzel was made with the same amount of flour. How much flour was used in each pretzel (expressed as a fraction)?

Answers

1/12 because 3/4 divided by 9 is 1/12.

Brenda has two pieces of string, one 28 feet long and the other 42 feet long. For an art project, she wants to cut them up to produce many pieces of string that are all of the same length, with no string left over. What is the greatest length, in feet, that she can make them?

Answers

Answer:

7 feet

Step-by-step explanation:

Length of one piece of string = 28 feet.

Length of the second string = 42 feet.

Since the number of required pieces was not given but many are required, the greatest length can be determined by;

If the maximum length is 7 feet, then:

the number of pieces from 28 feet long string = [tex]\frac{28}{7}[/tex]

                                                      = 4

Also,

the number of pieces from the 42 feet lone string = [tex]\frac{42}{7}[/tex]

                                                    = 6

Total number of 7 feet strings that she can make = 4 + 6

                                                    = 10

Since many pieces are required, the greatest length she can make is 7 feet. If she increase the length to 14 feet, the number of pieces would be 5 which limit the required number.

The point (1,0) is rotated (5π/4) about the origin. Find the coordinates of its image correct to three decimal places.

Answers

Answer:

The result can be shown in multiple forms.

(1,0),3.92699081 ...

A teacher has b boxes of pencils, with 10 pencils in each box. She gives away 4 boxes to the students in her class. How many pencils does she have left?

Answers

9514 1404 393

Answer:

  10b -40

Step-by-step explanation:

After giving away 4 of the b boxes she started with, she has (b-4) boxes remaining. Since there are 10 pencils in each box, the number of pencils she has left is ...

  10(b -4) = 10b -40

what is the greatest common factor of 4 and 22 ​

Answers

Answer:

2

Step-by-step explanation:

Factors of 4: 1, 2, 4

Factors of 22: 1, 2, 11, 22

GCF: 2

2 is the greatest common factor of 4 and 22.

What is Number system?

A number system is defined as a system of writing to express numbers.

We need to find the greatest common factor of 4 and 22 ​

Greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Factors of four and twenty two

We need to find the factors of 4 and 22

Factor of four are one comma two comma four

4: 1,2,4

Factors of twenty two are one comma two comma eleven comma twenty two

22: 1,2,11,22

2 is common greatest common factor of and  22

Hence, 2 is the greatest common factor of 4 and 22.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Thirty more than one half of the students at at canyon middle school are in band.Five less than three fifths of the students are in athletics.If the number of students who are in band is equal to the number of students in athletics how many students are enrolled in canyon middle school

Answers

Answer:

Students at canyon middle school = 350

Step-by-step explanation:

Students at canyon middle school = x

Band = 1/2x + 30

Athletics = 3/5x - 5

athletics.If the number of students who are in band is equal to the number of students in athletics

1/2x + 30 = 3/5x - 5

1/2x - 3/5x = -5 - 30

5x-6x/10 = -35

-x/10 = -35

= -x(1/10)= -35

x = -35 ÷ -1/10

= -35 × -10/1

= 350

x = 350

Students at canyon middle school = 350

Which expression this estimates

6 3/4 divided by 1 2/3?
A. 7 divided by 2
B.6 divided by 1
C. 8 divided by 3
D. 3 divided by 2

Answers

Answer:

I feel like the answer is a because if you put the fractions in decimal form 6 3/4 is 6.75 which is closer to 7 and 1 2/3 is 1.666... which is closer to 2 so...yea a

Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11

Answers

Queston:

Select all of the values that are solutions to the following inequality.

3(2a-1)> 10a - 11

Answer:

The answer is 2

Mary has $267 in her checking account . She writes checks for $33,$65 and 112. What is the balance in her account now ?

Answers

Answer:

57

Step-by-step explanation:

$267 - $33 - $65 - $112 = $57

A store has two sizes of peanut butter for sale. Jar A is $2.89 for 16 oz and Jar B is $6.01 for 36 oz. Which jar has the lower price per unit rate?

Answers

Jar A

Answer: Jar A.
Jae A has the lower price

Which point is located on quadrant IV

Answers

It's the letter D hope it helps

Answer:

The Answer is:C

Step-by-step explanation:

answer please? I need it

Answers

Answer: -110/2421

Hope this helps

-5,-75,3-2,4,3/2 write in ascending order​

Answers

Answer:

5,-75,3-2,4,3/2

Step-by-step explanation:

5,-75,3-2,4,3/2

Pls help I will brainlest u

Find the sum without using a number line.

Answers

Answer:

- 1 1/4

Step-by-step explanation:

-9 1/4 + 8 = -1 1/4

Understanding functions: Pls help!!! Braliest and 15 points!! Help ASAP if you can!!

Answers

D because there’s constant repetition!!

Write an equation of the line in standard form.
The line has the same slope as 3x-y=5 and the same y-intercept as the graph of 2y- 15x = 8.
The equation in standard form is

Answers

Answer:

Ok to make this easier for us we should switch these equations into y=mx+b so that it's easier for us to identify the slope and y-intercept:

to switch into y=mx+b form do this:

3x-y=5

-y=5-3x

y=-5+3x

y=3x+(-5)

2y-15x=8

2y=8+15x

y=4+7 1/2x

y=7 1/2x+4

THe slope of any line in y=mx+b form is m. Therefore in this equation:

y=3x+(-5)     3 is the slope

The y intercept of any line is the +b:

y=7 1/2x+4 -therefore 4 in this equation is our y intercept.

Now we can construct our equation in y=mx+b then into standard form (Ax+By=C)

since 3 is our slope and 4 is our y intercept the equatuon is :

y=3x+4

NOw all we need to do is move this into standard form:

y=3x+4

-3x+y=4

-3x+y=4 is your final answer

-hope this helped

Step-by-step explanation:

URGENT HELP!!
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:

Answers

Answer:

NK = 7, MK = 2, MF = 9.9, Area = 42

Step-by-step explanation:

Refer to attached

To find:

NK ,  MK,  MF, Area of trapezoid

Solution

The trapezoid is isosceles and NK is its height, therefore

MD - NF = 2MKMK = (9 -5)/2 = 2

Since ∠KDN = 45°, the triangle NKD is isosceles and so

NK = KD = MD - MK = 9 - 2 = 7

MF  = ND as trapezoid is isosceles and therefore diagonals are equal

ND = NK√2 = 7√2 = 9.9 So MF = 9.9

Area of trapezoid

A = 1/2(b1 + b2)h A = 1/2(9+5)(7) = 6*7 = 42

evaluate the function
pls help!!

Answers

Answer:

h ( -6 ) = -13228

Step-by-step explanation:

h ( x ) = -10x^(4) - 9x^(2) - 8x + 8

evaluate when, x = -6

Substitute in -6, for x,

-10(-6)^(4) - 9(-6)^(2) - 8(-6) + 8

= -10(1296) -9(36) -8(-6) + 8

= -12960 - 324 + 48 + 8

= -13284 + 56

= - 13228

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

Answers

Answer:

Write and evaluate the expression. Then, complete the statements.

A 1-column table with 5 rows. Column 1 is labeled Multiplication Words with entries double, multiply, product, twice, times.

Yuna ran three times as many kilometers.

Evaluate when k = 12.2.

First, write the expression as

✔ 3k

.

Second,

✔ substitute

12.2 in for the variable, k.

Third,

✔ simplify

by

✔ multiplying

3 and 12.2.

The answer is

✔ 36.6

Since Yuna ran three times as many kilometers so here expression should be 3k and the answer is 36.6

The writing and evaluating the expression:

Expressions are considered to be mathematical statements that have at least of two terms comprised of numbers or variables that should be linked. It could be of addition, subtraction, multiplication, or division.

First, write the expression as  3k

Second, substitute 12.2 in for the variable, k.

Third,  simplify by ✔ multiplying 3 and 12.2.

And, finally, The answer is 36.6

Learn more about expression here: https://brainly.com/question/11656147

Mike spent $32.86 on 15.5 pounds of grass seed for his yard. What is the price per pound of the grass seed?

Answers

Step-by-step explanation:

the price per pound of grass is $2.12

Point P′(−3, 2) is the image of point
P(3, 8) under a translation. What
is the image of (0, −6) under the
same translation?

Answers

Answer:

The image of (0, -6) after the same transformation is (-6, -12)

Step-by-step explanation:

After the required translation, the given image of the given point P(3, 8) is P'(-3, 2)

Therefore, the translation of preimage P(3, 8) to the image P'(-3, 2) is given by the difference between the coordinates as follows;

The translation from P(3, 8) to P'(-3, 2) = T(-3 - 3, 2 - 8) = T(-6, -6)

Therefore after the same translation, the preimage of (0, -6) will have an image given as follows;

Coordinate of preimage (0, -6) → T(-6, -6) (0, -6) = (0+ -6, -6 + -6) → Coordinate of image (-6, -12)

The image of (0, -6) after the same transformation = (-6, -12).

Which expression is equivalent to a^m + a^n? A, a^m - n B, a^m+n. C, a^m • n d, a^m (divided by) n

Answers

Answer:

Option B

Step-by-step explanation:

[tex]a^{m} + a^{n} = a^{m+n}[/tex] ( by using laws of exponents )

Therefore option B is correct

Hope this helps

plz mark as brainliest!!!!!

the ratio of boys to girls in the sixth grade is 2:3

If there are 24 boys how many girls are there

Answers

I think it is eight.

there would be 36 girls!

Mario runs a yard company. He charges $20 to show up for the job and $4 for each 10 square Yards. His competition, Linda's Lawn Care, charges $10 for showing up and $6 for each square 10 yards. After how many 10 square yards are, they charging the same? And how much is charged at that moment?

Answers

Answer:

5 square 10 yards

$40

Step-by-step explanation:

Mario:

20 + 4x

Her competitor:

10 + 6x

Where,

x = number of 10 square yards

Equate the expressions

20 + 4x = 10 + 6x

Collect like terms

20 - 10 = 6x - 4x

10 =2x

Divide both sides by 2

x = 10 / 2

= 5

x = 5 square 10 yards.

Charge at that moment

Using any of the cost equation

10 + 6x

= 10 + 6(5)

= 10 + 30

= 40

$40

Or

20 + 4x

= 20 + 4(5)

= 20 + 20

= $40

2. Jake has $90 and bought 2 ear
pods each price at $25. He also
bought his sister a new book
for $15.35 and lunch for himself
that cost $8.25. How much
money does he have
remaining?

Answers

Answer:

Jake has $16.40 left.

Step-by-step explanation:

What is the equation for the line that passes through the point (-4,-6) and has a slope of -1/2?

Answers

Answer:sorry  I’m ish could help

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