What is constant of proportionality? I'm still having trouble understanding it. Can someone please give me a give problems and tell me how to find the COP (constant of proportionality) <3 thamks.

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given two variables (say x and y); the constant of proportionality is the ratio between these to variables.

Illustration; y is directly proportional to x

The above statement can be represented as:

[tex]y\ \alpha\ x[/tex]

When converted to an equation, you get

[tex]y\ =k x[/tex]

k, in the above equation, represents the constant of proportionality

Divide both sides by x to solve for k

[tex]k = \frac{y}{x}[/tex]

Take for instance: [tex]y = 3x[/tex]

Divide both sides by x

[tex]\frac{y}{x} = 3[/tex] --- 3 is the constant of proportionality


Related Questions

2) If a = 6 feet and b = 8 feet, what is the measure of c?
6 feet
8 feet
10 feet
14 feet

Answers

An attachment would help. Assuming this is the Pythagorean theorem, c would be 10 feet. (6)^2 + (8)^2 = 100 -----> √100 = 10

Question Progress
Homework Progress
136 / 283 Marks
d
+ 2
- +
Make d the subject of the formula h: h=d/3+2

Answers

Answer:

d = 3h - 6

Step-by-step explanation:

Given

h = [tex]\frac{d}{3}[/tex] + 2 ( subtract 2 from both sides )

h - 2 = [tex]\frac{d}{3}[/tex] ( multiply both sides by 3 )

3(h - 2) = d , that is

d = 3h - 6

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 9 feet. Container B has a diameter of 10 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?

Answers

Answer:

11.8 % empty

Step-by-step explanation:

volume of cylinder : pi × r² × h

attention ! the question gives us diameter, so for radius we need to cut them in half.

Va = pi × (14/2)² × 9 = pi×49×9 = 1385.44236... ft³

Vb = pi × (10/2)² × 20 = pi×25×20 = 1570.79633... ft³

after filling B with everything in A there is still some empty volume in B

Vb empty = Vb - Va = 185.35397... ft³

so,

100% Vb = 1570.79633... ft³

1% Vb = 15.7079633... ft³

so, how often does 1% of the total volume of B fit into the remaining empty volume of B ?

185.35397... / 15.7079633... = 11.8%

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

3√2

Step-by-step explanation:

since it is equilateral we can add say base = 2 * [tex]\sqrt{6\\}[/tex]

all sides = 2[tex]\sqrt{6}[/tex]

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(2[tex]\sqrt{6}[/tex])^2 - (

(24) - (6) = b^2

18 = b^2

b = √18 = √(9*2) = 3√2

please if you find the answer helpful mark it brainiest

1 Find the slope of a line which passes through the points P(-3, 2) and Q(1, 5)

Answers

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

PLEASE HELP FINDING TRIANGLE ANGLE

Answers

Answer:

x = 146

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

x = 48+98

x = 146

Answer:

The sum of all the angles in a triangle is 180 degrees,

We know the measures of two angles, 48 and 98

if we add those and then subtract their sum from 180, we can find the third angle which will help us find the exterior angle x

48+98=146

180-146 = 34

now, we have to do 180-34 to find the measure of x.

why? any straight line is 180 degrees.

180-34 = 146

x = 146

hope this is correct and it helps you.

I REALLy need help with these I got them wrong

Answers

Answer:

A = (1/2 x b x h ) 4 + l^2

= 1/2 x 5 x 8 x4 + 5 x 5

80 + 25

= D. 105 cm2

Answer:

105

Step-by-step explanation:

Given the similar triangles at the left, write a similarity statement.

HELP IS NEEDED!!!!! PLEASE HELP ME ASAPPP!!!

Answers

Answer:

∆ABC~=∆PQR

Angle BAC=QPR

The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.

What was the sale price of the skateboard?

Answers

96
-30
——
66

Answer: the total of the skateboard was $66

Find the side length for the missing side length of 12) and 13). And solve for x on 14) and 15)

Answers

Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

PLS HELP!!!
The function c = 1.50(n – 2) + 5.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?
A. Each invitation costs $5.50 to print.
B. For each additional invitation, it costs an extra $1.50 to print.
C. One can not print just one invitation.
D. The cost depends on the number of invitations printed.

Answers

Answer:

A

Step-by-step explanation:

Hope this helped!

Answer:

i am pretty sure its B

Step-by-step explanation:

The volume of the cylinder

Answers

Answer:

15550.88

Step-by-step explanation:

the formula for the volume of a cylinder is πr^2(h), so plug in height and radius, and you have the answer.

Answer:

15550.88

Step-by-step explanation:

You use πr^2 h

6th grade math help me please

Answers

Answer: £1.18

Step-by-step explanation: 9.44/8 = 1.18

A ​$108,000 down payment would be? of the purchase price.

Answers

Answer: 10.8%

Step-by-step explanation:

The question is asking what the percentage of the down payment is of the purchase price of the house.

For such a question, the purchase price needs to be known.

We shall therefore assume a purchase price and you can use the process to find out your percentage.

Assume the purchase price is $1,000,000.

The percentage would be:

= Down payment / Purchase price * 100%

= 108,000 / 1,000,000

= 10.8%

Answer:

10.8%

Step-by-step explanation:

see above

Explain why the square root of a number is defined to be
equal to that number to the 1/2 power.

Answers

Answer:

The square root is the inverse operation to the power of 2, so that whenever you take a number and perform both actions on it, you get the same number back.

Sample Answer:  Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

The perimeter of a regular hexagon is 18 m. How long is each side? for 15 points

(a normal hexagon normally has 5 sides and they are all the same length )
o 3 m
o 4 m
o 2 m
o 5 m
PICK ONE!

Answers

Answer:

3 m

Step-by-step explanation:

A hexagon has six sides.

3m x 6 = 18 m

The answer is a. 3m

Explanation: because I know its right


Help Me please!!!!! Rn

Answers

Answer:

20 degrees

Step-by-step explanation:

The sum of inner angles of a triangle is 180 degrees

120 + 40 + x = 180

160 + x = 180

x = 20

Answer:

A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)

A = 180-120-40

A = 20°

To earn a bonus in a video game, you must find at least 60% of the hidden gems. You find 25 out of 40 gems. Do you get the bonus? Explain.

Answers

You do get the bonus

Explanation:
If 40 is 100%
Then to find the percentage of 25 out of 40
You divide 25/40=0.625
Move the decimal to the right twice is 62.5%

Solve the inequality and then determine which graph is correct. 55 ≤ 24 + x

Answers

Answer:

C is the answer

Step-by-step explanation:

24 + x ≥ 55

x ≥ 31

solutions are all values to the right of 31, including 31

The answer is C.

(Optional) First, reorder the terms of this inequality so you know what you're working with. (x + 24 ≥ 55)

Subtract 24 on both sides of the ≥ sign.

x ≥ 31

When using either ≤ or ≥, it will be a closed circle on a number line. The direction of the sign acts as an arrow that tells you which direction the line will be going.

can someone help please...

Answers

Answer:

the answer is median (b)

If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?

Answers

Answer:

The committee needs 12 square tables!

Step-by-step explanation:

[tex]8x+6y=150[/tex]

[tex]y=9[/tex]

[tex]8x+6(9)=150[/tex]

[tex]8x+54=150[/tex]

      [tex]-54[/tex]     [tex]-54[/tex]

[tex]8x=96[/tex]

[tex]/8[/tex]      [tex]/8[/tex]

[tex]x=12[/tex]

Hope this helps!

Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?

Answers

the answer is 2,-5, you’re just flipping the coordinates around

Solve the following word problems : 1. The sum of two consecutive numbers is 51, find them. ​

Answers

Answer:

25 and 26

Step-by-step explanation:

25+26=51

Hope this helps! :)

Answer and Step-by-step explanation:

We can represent the equation like this:

x + (x + 1) = 51, where x is a number and x + 1 is the consecutive number.

Solve for x.

Add the x's together.

2x + 1 = 51

Subtract 1 from both sides of the equation.

2x = 50

Divide 2 on both sides of the equation.

x = 25

So, the numbers are 25 and 26.

25 + 26 = 51

#teamtrees #PAW (Plant And Water)

What is -33 + m = -29

Answers

Answer:

m = 4

Step-by-step explanation:

m = -29 + 33

Answer:

the answer is m=4

hope this helps

have a good day :)

Step-by-step explanation:

33+-29=4

Please answer properly.

Answers

Answer:

Step-by-step explanation:

$15 is a constant value while $5 change depending by the hours.

We can write this expression to find the total cost:

5r + 15

part b

1) substitute r with 3

5 * 3 + 15

2) solve the expression

15 + 15 = $30

Helpppppppp meeeeeeeeeeeeee

Answers

Answer:

18

Step-by-step explanation:

(23+7²)= 23+7×7=72

72÷2²= 18

PLZ HELP SOMEBODY Given the following triangle with the indicated height and base. Write and simplify an expression for the area of the triangle. Justify your answer with the appropriate formulas and calculations. Find a value of that is less than 6 for which the base, height, and area of the triangle are all positive.

Answers

Answer:

Step-by-step explanation:

h × b × [tex]\frac{1}{2}[/tex] = A   (this is the formula)

2 × 3 × [tex]\frac{1}{2}[/tex] =  3m²

I believe you forgot to mention some information...but hope this helps...

Zzzzzzzhelpzzzz zzzzzzzz

Answers

the answers are A and D hope this helped

A and D am I to late?!

If X = 14 units and h = 8 units, then what is the area of the triangle shown above?

Answers

Answer:

56 units

Step-by-step explanation:

Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.

In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!

[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]

Therefore, the area of the triangle is 56 units.

I hope this helps! Please let me know if you have any questions :)

how to solve!? help pls I’ll give brainliest :))

Answers

Let me know if anything's unclear

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