A proportional relationship can be represented by an equation in the form y = kx,
where k is the constant of proportionality. For the equation 2x = 18y, what is the
constant of proportionality?

Answers

Answer 1
Answer:

2x=18y

x=9y

x=9kx

k=1/9

Step-by-step explanation:

A proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.

Hope it helps

Related Questions

Q9:

Angle V and ∠W share a side and the sum of their measures is 180°. What do you know about these angles? Select yes or no. They are complementary angles.


They are a linear pair.

They are vertical angles.

They are supplementary angles.

Answers

They was a linear Bc I was the right thing worth the angles

What is the relation between the variables in the equation ?

a.
varies inversley as y
c.
y varies directly as
b.
varies directly as y
d.
y varies inversely as




Answers

I think it’s b. Varies directly as y but I’m not exactly sure so try searching it up If that helps

Pls help me get this correct its not a lot please if you can just finish it with good credit.

Answers

1) 63 degrees
2) 44 degrees
3) 160 degrees
4) 89 degrees
5) 76 degrees
6) 143 degrees
7) 105 degrees

Volume8cm what is side lengths

Answers

Answer:

length: 2

width: 2

height: 2

Step-by-step explanation:

I'm assuming this is for a rectangular prism, because you didn't provide a picture.

Angles y and z are complimentary. If angle y is 18°, what is the measure of angle z?


18°


36°


72°


162°



Answers

Answer:

z = 72°

Step-by-step explanation:

Complimentary angles sum to 90° , thus

z + y = 180, that is

z + 18 = 90 ( subtract 18 from both sides )

z = 72°

So the right answer is 72 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

The volume of a cone is 410.3 mm and has a radius of 7 mm. What is the height of the cone? Round to the nearest hundredths

Answers

Answer:

8

Step-by-step explanation:

h=3V

πr2=3·410.3

π·72≈7.99607

You have 13 gallons of lemonade to sell. You use cone-shaped cups that are 7 centimeters in diameter and 11 centumeters tall. Each customer uses one paper cup. How many paper cups will you need if you sell all of the lemonade?

Answers

I need to finish tutorial

1. Factor this quadratic function:2x2 + 12x +16

Answers

Answer:

4 (3x + 5)

Step-by-step explanation:

Simplify

4 + 12x +16

Simplify

12x + 20

Factor

4 (3x + 5)

Answer:

[tex]2(x+4)(x+2)[/tex]

Step-by-step explanation:

We can start with the observation that every coefficent in the quadratic [tex]2x^2 + 12x +16[/tex] is a multiple of 2. Factoring out the 2, our expression becomes [tex]2(x^2+6x+8)[/tex]. Let's focus on the second term, [tex]x^2+6x+8[/tex]. To factor this, we want to find two numbers that multiply to 8 and add to 6. 4 · 2 = 8 and 4 + 2 = 6, so we can use that fact to split the middle term and factor the quadratic completely:

[tex]x^2+6x+8\\=x^2+2x+4x+8\\=x(x+2)+4(x+2)\\=(x+4)(x+2)[/tex]

Putting that back with the 2 we factored out earlier, our fully factored function is

[tex]2(x+4)(x+2)[/tex]

5. Cameron found the volume of the cone below, but when he double-

checked his work, he got a different solution. Determine which solution

best represents the volume of the cone.

TRY #1

169.6 in 3

TRY #2

56.5 in 3

Answers

Answer:

Try 2 is correct

Step-by-step explanation:

See attachment for dimension of cone.

From the attached,

The diameter of the cone, d = 6 in

The height of the cone, h = 6 in

The volume of a cone is calculated as thus

Volume = ⅓πr²h

So, we need the value of r.

r represents radius and

r = ½d

r = ½ * 6

r = 3.

So,

Volume = ⅓πr²h becomes

Volume = ⅓ * π * 3² * 6

Volume = π * 3 * 6

Volume = π * 18

Volume = 18π

Take π as 3.14

So,

Volume = 18 * 3.14

Volume = 56.52 in³

Given that

Try 1 = 169.6 in³

Try 2 = 56.5 in³

We can conclude that Try 1 is incorrect and Try 2 is correct

Arionna claims that since there are 3 feet in a yard, there are 9 cubic feet in a cubic yard. Which statement about her claim is true? Arionna is correct because there are 3 feet across the length of a cubic yard and 3 feet across the depth of a cubic yard. 3 times 3 = 9 Arionna is correct because there are 3 feet in a yard and there are 3 dimensions in a cubic yard: length, depth, and height. 3 times 3 = 9 Arionna is incorrect. There are only 3 cubic feet in a cubic yard because there are 3 feet in a yard, and the proportion will remain constant. Arionna is incorrect. There are 27 cubic feet in a cubic yard because a cubic yard is a prism with dimensions 3 ft Times 3 ft Times 3 ft. A prism with those dimensions will take 27 cubes to fill it if each cube is a unit cube of 1 ft.

Answers

Answer:

D

Step-by-step explanation:

PLS HELP ASAP
Simplify: (8)2(2)3/(4)3(-2)4 ( the numbers outside the parentheses are to the power to for example the first 2 numbers are 8 to the power of 2)
A) 1/2


B) 2/3


C) 2/9


D) 3/4

Answers

Answer:. 1/2

Step-by-step explanation: Different ways to get this.

PEMDAS: figure 8 squared is 64 and 2 cubed is 8. Multiply to get 512 in the numerator.

Figure 4 cubed is 64 and (-2)^4=16. Multiply to get 1024 in the denominator. Simplify to 1/2

You could express all the factors as 2 to some power then add and subtract the exponents.

2^6 •2^3=2^9. Over

2^6 • 2^4 = 2^10. Subtract exponents. 2 to the -1 power is 1/2.

Does anyone know the answer?

Answers

Answer:

12

Step-by-step explanation:

a2+b2=c2 since the hypotenuse is 13 you would square it to get 169 and then you would square 5 and get 25 you would subtract 169-25 and get 144 then you would square root that number and get 12 so then your answer is 12 in.

(10 + 3x) = 5x
Solve please

Answers

Answer:

x=5

Step-by-step explanation:

10 +3x = 5x

Subtract 3x from each side

10+3x-3x= 5x-3x

10 =2x

Divide each side by 2

10/2 = 2x/2

5 =x

A retail shop is replacing their flooring
with laminate wood. The floor plan is shown
below. Determine the total square feet of
laminate wood needed to complete the the job.
25 ft
8 ft
5 fi
25 ft
35 ft

Answers

Answer:

1075 ft

Step by step:

25*35 = 875

8*25 = 200

875+200 = 1075

Which expression is equivalent to x1/3

Answers

Answer:

1/3y(y + 12) - 12.

Pretty sure it's 1/3y(y + 12) - 12. I'm pretty sure I got it wrong tho.

PLS HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

c

Step-by-step explanation:

because its 0=>-4

which means 0-4

and then its -4-6

which is -10

The freezing point of water is 0°C. Imani's refrigerator is set at 4°C, and her freezer is set at
-19°C. Which change in temperature would bring Imani's refrigerator or her freezer to the
same temperature as the freezing point of water?
-
-19°C
+23°C
-4°C
+15°C

Answers

Answer: +23

Step-by-step explanation:

It would be 23 because the difference between -19 and 4 is 23

Answer:

+23

Step-by-step explanation:

I took the test and my teacher helped me and told this was the right answer.

Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line z, labeled clockwise, from the uppercase left, the angles are: 1, 4, 3, 2. Where line w intersects with line z, the angles are: 5, 75 degrees, 7, 6. Where line x intersects with line x, the angles are: 13, 16, 15, 14. Where line w intersects line y, the angles are: 9, 12, 11, 10. What is m∠2? ° What is m∠1? °

Answers

Answer: angle 2 is 75 degrees and angle 1 is 105 degrees

Step-by-step explanation:

Answer:

75 and 105

Step-by-step explanation:

What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4 feet, and 20 feet by 5 feet. The triangular sides have a base of 3 feet and height of 4 feet. [Not drawn to scale]

152 square feet
172 square feet
252 square feet
264 square feet

Answers

Answer:

252

Step-by-step explanation:

I think I may be wrong

The surface area of the triangular prism is: 252 square feet

What is a triangular prism?

A triangular prism is a solid three-dimensional shape with three rectangles and two triangles.

Analysis:

Surface area of triangular prism = area of 3 rectangles + area of two triangles

Surface area = 20 x 4 + 20 x 5 + 20 x 3 + 2 x ( 1/2 x 3 x 4) = 252 square feet

In conclusion, the surface area of the triangular prism is 252 square feet.

Learn more about triangular prism: brainly.com/question/1284982

#SPJ2



Here are the first five terms of a sequence.

3 8 17 30

47

Find an expression, in terms of n, for the nth term of this sequence.

Answers

Answer:

So the formula for the sequence is

Second term =first term + (a+nd)

Third term = second term + (a+nd)

And so on

Where n start with zero

Step-by-step explanation:

3 8 17 30 47

First term = 3

Second term = 8

Third term = 17

Fourth term = 30

Fifth term = 47

Second term - first term = 8-3=5

Third term - second term = 17-8= 9

Fourth term - third term = 30-17=13

Fifth term - fourth term = 47-30=17

So the AP is 5 9 13 17

We find out that the common difference is 9-5 = 4

The formula for nth term of the AP is

= a + nd

So the formula fir the sequence is

Second term =first term + (a+nd)

Third term = second term + (a+nd)

And so on

Where n start with zero

answer my question and i will mark you as brainliest its that easy answer

Answers

Answer:

13 degrees

Step-by-step explanation:

85 and A are opposite hence equal so A = 85

98 and C are equal because they are corresponding angles hence C = 98

B and C are in a straight line so they add up to 180

B = 180-98 = 82

Finally, A and B and X add to 180 because they for a triangle

X+85+82 = 180

X= 13 degrees

PLZ HELP I WILL GIVE BRAINLIEST....


1.) The population of a certain city decreased by 10,000 people.
Write a signed number to represent this population change.

2.) A car corporation produced 520 fewer cars this month than last.
Write a signed number to represent this month's change in production

Answers

Step-by-step explanation:

1. A decrease means that the 10,000 will be negative, and therefore the answer is -10,000.

2. Fewer means a decrease, and a decrease means that the 520 will be negative. The answer is -520.

Hope this helps!

Factor 36+12x+x^2

as the product of two binomials

Answers

Answer:

(x+6) (x+6)

(x+6)^2

Step-by-step explanation:

36+12x+x^2

x^2 +12x +36

What 2 numbers multiply to 36 and add to 12

6*6 = 36

6+6 =12

(x+6) (x+6)

(x+6)^2

Answer:

(x+6) (x+6)

Step-by-step explanation:

What is the next term in the arithmetic sequence? 9, 17, 25, 33, ...

Answers

Answer:

41

Step-by-step explanation:

Add 8 every time.

STUCK ON THIS QUESTION PLS HELP!! WILL MARK BRAINLIEST

Answers

Answer:1/2

Step-by-step explanation: There are three prime numbers from 1 to 6 i. e. 2,3 and 5. So the probability of getting these nos. is 3 out of 6 or 3/6 which can be simplified further into 1/2

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

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Initially, the ratio of Alex’s toy cars to Pete’s toy cars was 7:3. After Alex gave 20 toy cars to Pete, they had each an equal number of cars. How many toy cars did they have altogether?

Answers

pete 23 cars alex 23 alex gains 16 cars then 23 plus 23 equals 46

Answer:

100

Step-by-step explanation:

For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?

Answers

Answer:

[tex]k=0[/tex] and [tex]k=3[/tex].

Step-by-step explanation:

To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of [tex]k[/tex] that makes those coordinates equal.

[tex]k^{2}=3k\\ k^{2}-3k=0\\k(k-3)=0\\[/tex]

Using the null factor property, we have

[tex]k=0\\k-3=0 \implies k=3[/tex]

Therefore, the given relation is not a function when [tex]k=0[/tex] and [tex]k=3[/tex].

Find the value of x in the diagram below. Show your work.

Answers

Answer:

x=35

Step-by-step explanation:

the litle square inside of the half circle means its the angle of 90

so just do like that:

90=x+(4x-85)

and u have the answer x=35

Nguyen is decorating the room for her sister's baby shower party. She is wrapping
Vietnamese conical hats in baby prints tissue paper to decorate the tables and some
shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If
she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
A 4.176 in2
B 8.975 in 2
C 10.580 in2
D 36.267 in2​

Answers

The question is incomplete because the options provided were not correctly written.

Complete question

Nguyen is decorating the room for her sister's baby shower party. She is wrapping

Vietnamese conical hats in baby prints tissue paper to decorate the tables and some

shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If

she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?

A) 4,176 in²

B) 8,975 in²

C) 10,580 in²

D) 36,267 in²

Answer:

C) 10,580 in²

Step-by-step explanation:

The question above is solved by finding the Total Surface area of the the conical hats.

We are given the following values for each hats

Diameter of 16 inches , radius of the hat = Diameter ÷ 2 = 16 ÷ 2 = 8 inches

Height of 9 inches.

The formula for the Total Surface Area of a cone = πr[ r + √(h² + r²)]

= π × 8 [ 8 + √(9² + 8²)]

= 503.7 square inches or 503.7 in²

So, for one hat she would be needing 503.7 square inches or 503.7 in² of Vietnamese tissues.

We are told in the question that she wants to wrap 21 conical hats. Hence,

If 1 conical hats is wrapped with 503.7 in² of Vietnamese tissues.

21 conical hats =

21 × 503.7 in² = 10,577.7 in²

Approximately = 10,580 in²

Therefore, to wrap 21 Vietnamese hats, Nguyen would need 10,580 in² of tissue paper.

Solve the system of equations below.
5.1 – 2y=18
3.x+3y=15

Answers

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

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