What is the constant of proportionality in the equation y=\dfrac{5}{9}xy= 9 5 ​ XY, equals, start fraction, 5, divided by, 9, end fraction, x?

Answers

Answer 1

Answer:

[tex]k=\dfrac{5}{9}[/tex]

Step-by-step explanation:

The given equation is :

[tex]y=\dfrac{5}{9}x[/tex] ...(1)

We need to find the constant of proportionality in the equation.

In this equation, y is directly proportional to x i.e.

y ∝ x

or

y = kx  ...(2)

k is constant of proportionality

If we compare equation (1) and (2), we find that,

[tex]k=\dfrac{5}{9}[/tex]

So, the constant of proportionality is equal to [tex]\dfrac{5}{9}[/tex].


Related Questions

Find the surface area of each prism. Show your work for full credit!

Answers

Answer:

1   15 x 9 x 14 = 1890

2   10 x 17 x 24 x 21 =85680

Step-by-step explanation:

A kite has a 50 foot long string. If the angle of elevation to the kite measures 60 degrees, how high is the kite above the ground? Round to the nearest tenth. Pleaseee help!!!!

Answers

Answer:

Step-by-step explanation:

Draw a picture. You have a 30-60-90 triangle, so the sides are in the ratio 1:√3:2.

The string of the kite is the side opposite the 90° angle. The side opposite the 30° angle is 25 ft.

The vertical leg of the triangle is 25√3 ≈ 43.3 ft

–41 – y = −17 linear equations by elimination ​

Answers

I’m pretty sure y= 3
- 41 - y = -17
- 41 - y + 41 = -17 + 41
-y = - 24
-y/-1 = -24/-1
y = -24

What is the distance between 4 and 17?

Answers

Answer:

14

Step-by-step explanation:

17 - 4 + 1 = 13 + 1 = 14

Answer:

Step-by-step explanation:

D = distance

[tex]x_{1}[/tex] = 4

[tex]x_{2}[/tex] = 17

No "y" values were given.

The distance formula:

[tex]D=\sqrt{(x_{1} - x_{2} )^{2} +(y_{1} - y_{2} )^{2}}[/tex]

If we insert in the values:

[tex]D = \sqrt{ (4 - 17)^{2} + (0 - 0)^{2}}[/tex]

(0-0)^2 = 0 so we can just remove the last part since it's +0:

[tex]D = \sqrt{(4 - 17)^{2}}[/tex]

4 - 17 is equal to -13:

[tex]D = \sqrt{(-13)^{2}}[/tex]

Since [tex](-a)^{2} = (a)^{2}[/tex], that means that the negative 13 becomes positive

[tex]D = \sqrt{(13)^{2}}[/tex]

Now the square root and the square cancels each other out:

[tex]D = 13[/tex]

Hope I could help you understand (●'◡'●)

If you have any questions, don't be afraid to ask in the comments below!

P.S if you really like this answer, please consider giving it the brainiest... I am one brainiest away from expert rank ╰(*°▽°*)╯

Have a good day!

ABCD- parallelogram, If the perimeter of Triangle CPQ is 15cm, Find the perimeter of triangle BAQ. Find the perimeter of triangle PDA. PLEASE FIND THE ANSWER QUICKLY I NEED IT RIGHT NOW

Answers

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

[tex]\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm[/tex]

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

[tex]\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19[/tex]

[tex]\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8[/tex]

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

What is the answer to -180=-10v+10

Answers

Answer:

Step-by-step explanation:

-180=-10v+10

-190=-10v

v=19

Answer:

19

Step-by-step explanation:

[tex]-180=-10v+10[/tex]

subtract 10 from both sides

[tex]-190=-10v[/tex]

divide both sides by 10

[tex]v=19[/tex]

plz mark me brainliest. :)

I've wasted 42 points already. Can someone PLZ just answer my Question and stop wasting my points. PLz, this is due. I need help

Answers

Step-by-step explanation:

You can put the value of x into the equation to solve for y. Hopes this works.

750 students appeared in an examination. If 24% of them passed in first division, 38% in second, 16% in third and others failed in exam. Find the number of students who have passed in each division and who have failed. ​

Answers

Answer:First division: 180Second division: 285Third division: 120Failed: 165

What is the distance between points V(3, 3) and W(–2, –3)?

Answers

Answer:

√61

Step-by-step explanation:

Answer:

(5,6)

Step-by-step explanation:

3-(-2)=5

3-(-3)=6

Will give brainliest!!​

Answers

Answer:

NO

Step-by-step explanation:

A shop sells two different bags of rice.

Rice A
500g plus 25% extra free

Rice B
750g plus 1/5 extra free

Which bag gives you more free rice.

Show your working.​

Answers

Answer:  rice a

Step-by-step explanation:

convert 1/5 to a decimal .20 <.25

Bag of rice B gives more rice than bag A as per the percentage.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

Given, A shop sells two different bags of rice. Rice A has 500g plus 25% extra free and Rice B has750g plus 1/5 extra free.

For calculating the free amount of rice,

For Bag A

Frre amount of rice  = 500* 25%  = 500 *25/ 100 = 125g

For Bag B

Frre amount of rice  = 750 * 1/5 = 150g

Therefore, According to the percentage, bag B of rice contains more rice than bag A.

Learn more about percentages here:

https://brainly.com/question/29116686

#SPJ2

in which quadrant does angle theta lie if csc theta <0 and cot theta<0?

Answers

Answer:

Quadrant IV (4)

Step-by-step explanation:

I did the test and the other person was wrong.

The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).

What is meant by Trigonometric Identities?

Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.

Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.

Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.

The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).

To learn more about trigonometric identities refer to:

https://brainly.com/question/7331447

#SPJ2

can anyone help with this, it’s my worst subject.

Answers

Answer:

Yes

Step-by-step explanation:

They are congruent because they gave the same dimensions.

yes^ they are congregant because they have the same measurements

A university's freshman class has 7700 students. 67% of those students are majoring in Engineering. How many students in the freshman class are Engineering majors?

Answers

5159
7700 x 0.67
Have a good day

Answer:

5159 students

Step-by-step explanation:

To find a percentage of a number larger than 100, divide the percent by 100, so 67/100=0.67. Multiply that number by the number that you want to take the percentage of. 0.67 x 7,700 = 5,519

help me pleaseeeee
it’s algebra 2

Answers

Answer:

Step 2

Step-by-step explanation:

The answer is step 2

square root of prime numbers from 1 to 20​

Answers

Answer:

maybe the answer is 16

because from 1 to 20, 16 is a number that have a square root.

Hope it helps!

X-9 = 23 when X=14
yes
No

Answers

Step-by-step explanation:

x - 9 = 23

(14) - 9 = 5

So the answer is no.

Answer:

No

Step-by-step explanation:

X will be equal to 32

If X is equal to 14 the answer will be 5

An alligator is 9 inches long at birth and grows 10 inches per year. Write an equation that represents the length y (in feet) of an alligator that is x years old. How long will the alligator be after 4 years?

Answers

Answer:

y=10x+9

after 4 years the gator will be 49 in long

Step-by-step explanation:

Answer:

y = 5/6x + 3/4.

At 4 years old,  the length y = 49/12 feet = 4 feet 1 inch.

Step-by-step explanation:

9 inches = 3/4 feet.

10 inches =  5/6 feet

So our equations is

y = 5/6x + 3/4.

When it is 4 years old:

y  = 5/6(4) + 3/4

= 20/6 + 3/4

= 49/12 feet

Please help me with this question!! Explain pls

Answers

Answer:

Since the opposite angles of a parallelogram are equal so...b=48

we also know that the sum of the interior angles of a parallelogram=360°

so... let a and the other angle be X

then

2x+2*48=360

2x=360-96=264

so.....X =132

which is your answer

PLEASE HELP!
Find one counterexample to show that this is false:...
The product of two positive numbers is greater than either number

Answers

4x1/2=2. 2 is less than 4 so it shows that it is false.

40 POINTS!!

Select the correct answer.
4xV5 – 2xV5
What is the simplified form of 9V6
OA 27
OB.
37
V5
Ос.
OD
27
375

Answers

I only know what in the picture which is the letter A

A rectangular prism has a volume of 1,176 cubic inches. The prism has a width of 12 inches
and a height of 7 inches.
What is the length of the prism?
Write your answer as a whole number or decimal. Do not round.
GUYS PLEASE HELP IVE BEEN DOING THIS FOR 3 HOURS

Answers

I think it is 14?

If Volume = Length x Width x Height,
Then Length = Volume / (Width x Height)
7 x 12 = 84
1176 / 84 = 14

i hope this helps (^^)

Help with this please!!!! The green box

Answers

Answer: 6

Step-by-step explanation:

The question is looking for the leg length beside the green box. If you count the leg length from vertex to vertex, it is 6 squares in length.

Find the Difference.

3x + 5 - (2x + 2)

How do I do this step by step?

Answers

Answer: The correct answer is x+3

Step-by-step explanation: To find the answer you must first remove the parentheses then you combine the like terms and that how you get your answer.

Answer:

x + 3

Step-by-step explanation:

there are 20 students in chess club. two students are to be selected for representing the club in a school meeting. in how many ways can a pair of students be selected from the chess club?

Answers

first way is play a match between all of them and select first Palace and second to be selected in the meeting

please help 5 rate pleaseeeeeee????//

Answers

Step-by-step explanation:

5/2K+1+1/3K-3/4= 17/6K + 1/4

-Plug in the rest of the equations to check if they are the same.

1. equivalent

2.Not

3.Not

4.Not

5.Not

BIG BRAIN KIDS ONLY

Given the relation {(11, 3), (-10, -7), (-7, 13), (-5, -2), (-9, -6)}, determine the domain.

A. {-10, -7, 5, 9, 11}

B. {-7, -6, -2, 11, 13}

C. {-10, -9, -7, -5, 11}

D. {-6, -5, -10, 11, -3}

Answers

Answer:

THE ANDER IS EHE DUDUDUSU

simplify 7x7⁴????????​

Answers

Answer:

7power to 5

Step-by-step explanation:

good luck you're welcome

Answer:

16807

Step-by-step explanation:

7 x 7^4 = 7^1+4

= 7^1+4

1+4= 5 - 7^5

7^5 = 16807

Describe a time when you use my Math out of school

Answers

Answer:

Counting money to buy something from the store

Measuring ingredients for food

Yeah counting money, measuring things, finding temperatures etc

What is the value of x2+9x+20 when x could be -5, -3 or -6

Answers

Answer:

Step-by-step explanation:

You should use a ^ to indicate an exponent. x^2 is the same as x².

x² + 9x + 20

Replace the x with (-5).

(-5)² + 9(-5) + 20 = 25-45+20 = 0

Then do the same with x = (-3):

(-3)² + 9(-3) + 20 = 9 - 27 + 20 = 2

You can do x = (-6)

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