The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x

Answers

Answer 1
Answer:   2/9

====================================================

Explanation:

The equation y = (2/9)x is in the form y = kx

In this case, k = 2/9.

The value of k is the constant of proportionality.

All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.


Related Questions

La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.

Answers

Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.

Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units​

Answers

Answer:

4,9

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions

Answers

Answer:

one solution

Step-by-step explanation:

Given the equations

1/4x + 1 1/2y =5/8 ..... 1

3/4x - 1 1/2y =3 3/8 ..... 2

Get the value of x

Add both equations

1/4x + 3/4x = 5/8+3 3/8

4x/4 = 5/8+27/8

x = 32/8

x= 4

Substitute x = 4 into equation 1

From 1;

1/4x + 1 1/2y =5/8 .

1/4(4) + 3/2 y = 5/8

1 + 3/2 y = 5/8

3/2 y = 5/8 - 1

3/2 y = -3/8

Cross multiply

24y = -6

y = -6/24

y = -1/4

Hence the solution {x,y) is (4, -1/4)

The system has only one solution

What is the square root of 10,000 in simplest radical form?

Answers

Answer:

Step-by-step explanation:

the answer is 100

A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.

Answers

Answer:

83.33 milligrams

Step-by-step explanation:

The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.

Thus, the each dosage = x.

Let's solve for x

[tex] 18x = 1500 [/tex]

Divide both sides by 18

[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]

[tex] x = 83.33 milligrams [/tex] (nearest hundredth)

I need the value of X

Answers

Answer:

31

Step-by-step explanation:

x+24+4x+1=180

5x+25=180

5x=155

x=155/5=31

ASAP I AM BEING TIMED I WILL MARK BRAINLIST




In psychology, the word "Gestalt" refers to

 A. a personality type

B. an adaptation that increases chances of survival 

C. the organization of parts into a whole pattern

 D. a learned response to a stimulus  E. the unconscious forces that drive behavior

Answers

Answer:

C. the organization of parts into a whole pattern

Step-by-step explanation:

Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?

Answers

550 47/100 miles per hour.

Answer:

550.47

Step-by-step explanation:

3669 4/5 ÷ 6 2/3 = 550.47

Hope this helps:)

I need help I’m timed
what is the y- intercept of the linear function?
y= 1/2 x + 4

Answers

Answer: (0,4)

Step-by-step explanation:

How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?

I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.

Answers

37 x 10 = 370
21 x 11 = 231

Mark worked 21 Hours, Jack worked 37 Hours.

Answer:

Jack earns $37

Mark earns $21

Step-by-step explanation:

m + j = 58

11m + 10j = 601

j = 58 - m

11m + 10(58 - m) = 601

11m + 580 - 10m = 601

1m = 601 - 580

m = 21

j = 58 - m

j = 58 - 21

j = 37

What is 12x³ – 9x² – 4x + 3 in factored form? hurry...

Answers

Answer:

Combine Like Terms:

=1728+−9x^2+−4x+3

=(−9x^2)+(−4x)+(1728+3)

= −9x^2+−4x+1731

2x/3 < 10
Solve the inequality

Answers

Answer:

x < 15

Step-by-step explanation:

we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.

2x < 10 x 3

2x < 30

we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30

x < 30 ÷ 2

x < 15

Answer:

x=15 or false

Step-by-step explanation:

In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.

( Which of the following best describes an ecosystem in a neighborhood garden?

Answers

What are the answers for the nonshelaunt question

Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].

Answers

Answer:

0

1

sin

3

3

Step-by-step explanation:

These are the answers in order from every blank

The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

As per the given trigonometric equation,

cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2

Since, cosπ/2 = 0 and sinπ/2 = 1

cos(x)(0)+ sin(x)(1) = √3/2

sinx = √3/2

sinx = sin π/3 = sin 2π/3.

Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".

For more information about the trigonometric function,

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What is the slope of AB in parallelogram ABCD?

Answers

it’s D i believe :) rise over run. go up 10, over 4. divisible by 2, so 5 over 2

The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.

[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]

Reasons:

The slope of a line is given by the ratio of the rise to the run of the line

The coordinates of point A = (-9, -4)

The coordinates of point B = (-5, 6)

The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10

The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4

[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]

Therefore

[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]

Learn more here:

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Write an expression for the perimeter of the triangle shown below:

A triangle is shown with side lengths labeled 0.3x plus 24, 5x, and 0.2x minus 15.

Answers

Answer: The expression is 5.5x + 9  for the perimeter of the triangle described.

Step-by-step explanation: Add the three lengths given to find the perimeter.

 0.3x + 24,

+ 5x,

+ 0.2x - 15   Combine like terms

=5.5x +  9

Answer:

The perimeter is the sum of all sides.

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Ans:Option 2
8(4c+6)+10
=32c+48+10
=32c+58

Hope this can help.

John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?

Answers

Answer:72

Step-by-step explanation:

Question 2
8 pts
You buy a bike for $200 and a skateboard for $30. What is the total cost if the tax rate is
8.25%? Round your answer to the nearest hundredth.
I

Answers

Answer:

$248.98

Step-by-step explanation:

200 + 30 = 230.

8.25% of 230 is 18.975, rounded to $18.98.

230 + 18.98 = 248.98.

I’ll give BRAINLIEST just pls help :(

Answers

Answer:

September

December

May and December

Step-by-step explanation:

I am not sure about the last one

Four-thirds times the sum of a number and 8 is 24. What is the number?
ОА.
40
OB. 26
O C. 24
OD
10

Answers

Answer:

D, 10.

Step-by-step explanation:

10+8=18 4/3x18=24

The answer is 10

Explain: Let’s use “x” to present the number, we have:
4/3(x+8) = 24
x+8 = 24/(4/3)
x+8= 18
x = 10

At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?

For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true

Answers

Answer:

all answers are true I think

Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?

Answers

Answer:

10 cups in total.

Step-by-step explanation:

4.8+5.2= 10.00

add the .2 to the 4.8 you get get 5 then add 5.0+5.0

A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels

Answers

Answer:

22.5 miles

Step-by-step explanation:

15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15

Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.

Answers

Answer: The probability is  32/81, or  0.395 in decimal form

Step-by-step explanation:

Each question has 3 answers.

one of the answers is correct, and 2 are incorrect.

Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:

p = 1/3.

Then the probability of answering wrong is:

q = 1 - 1/3 = 2/3.

Now, we want to find the probability of answering exactly one question correctly.

Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.

then we have the probability 1/3 one time, and the probability 2/3 3 times.

And as we know, the joint probability will be equal to the product of the individual probabilities, this is:

P = (1/3)*(2/3)*(2/3)*(2/3).

But this is for the case where only the first one is answered correctly, we also have the cases where:

the 2nd is the only one answered correctly

the 3rd is the only one answered correctly

the 4th is the only one answered correctly.

Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:

P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation. She needs $300 dollars. Express this amount as an integer. Is this represented by a negative number or a positive number?

Answers

Answer:

Positive number

Step-by-step explanation:

Given that:

Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.

Let x be the amount of her savings and she needs $300

SO;

x  + 300 = 0

As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.

please help me, i need this so much​

Answers

Answer:

Do you have insta cus if u do follow _l.bartlett

Step-by-step explanation:

1. x<-3

2. z[tex]\leq[/tex] -5

3. y<2

4. 3 [tex]\leq[/tex]x<7

If the school supply kit regularly cost $25 how much does it cost after the 20% discount

Answers

Percent Off Calculator 20% off 25 is 20.00 -

The amount of the school supply kit after the discounted price is $ 20

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of the school supply kit be A

The value of A is $ 25

The percentage discount of the school supply kit = 20 %

So , the value of the percentage amount is given by the equation

The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )

Substituting the values in the equation , we get

The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )

The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )

The cost of the school supply kit after discount = 25 - 5

The cost of the school supply kit after discount = $ 20

Therefore , the discounted price is $ 20

Hence ,

The amount of the school supply kit after the discounted price is $ 20

To learn more about equations click :

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What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a

Answers

Answer:

[tex]x = \frac{5 + \sqrt{53}}{2}[/tex]  or  [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 5x - 7 = 0[/tex]

Required

Solve for x using:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

First, we need to identify a, b and c

The general form of a quadratic equation is:

[tex]ax^2 + bx + c = 0[/tex]

So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]

[tex]a = 1[/tex]     [tex]b = -5[/tex]      [tex]c = -7[/tex]

Substitute these values of a, b and c in

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]

[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]

[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]

Split the expression to two

[tex]x = \frac{5 + \sqrt{53}}{2}[/tex]  or  [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]

To solve further in decimal form, we have

[tex]x = \frac{5 + 7.28}{2}[/tex]  or  [tex]x = \frac{5 - 7.28}{2}[/tex]

[tex]x = \frac{12.28}{2}[/tex]  or  [tex]x = \frac{-2.28}{2}[/tex]

[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]

The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?

Answers

9514 1404 393

Answer:

  $500

Step-by-step explanation:

The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...

  C = 45·10 +50 = 450 +50 = 500

The greatest value in the range for this situation is $500.

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