It takes 16 beads to make 4 bracelets. What is the constant of proportionality that relates the number of bracelets made, y, to the number of beads used, x?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Given that:

Number of beads used to make 4 bracelets = 16

Number of bracelets made = [tex]y[/tex]

Number of beads used = [tex]x[/tex]

To find:

The constant of proportionality = ?

Solution:

Number of bracelets made is proportional to Number of beads.

i.e.

[tex]y \propto x[/tex]

OR

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

Where [tex]k[/tex] is the constant of proportionality.

We are given that:

when [tex]x = 12, y = 4[/tex]

Putting the values in the above equation:

[tex]4 = k \times 16\\\Rightarrow \bold{k = 4}[/tex]

Therefore, the constant of proportionality is 4.


Related Questions

The Idol's Eye diamond weighs 79.2 carats.The Blue Hope diamond weighs 33.68 carats less than the Idol's Eye.What is the weight of the Blue Hope diamond?

Answers

Answer:

45.52

Step-by-step explanation:

The total cost, c, of buying Mickey Mouse Ears, where m is amount of ears bought and 1 magnet, is given by the formula c = 22m + 8. Which equation is equivalent to this formula when solved for m? *
1 point
m = (c - 8)/22
m = (c+ 8)/22
m = c/22- 8
m = c

Answers

The first one. First you'd subtract 8 from both sides then divide both sides by 22, so it should be the first answer.

Can someone help me with the questions in the picture?

Answers

Answer:

25) B obtuse scalene

26) A acute isosceles

27) A acute isosceles

28) D obtuse isosceles

29) D right scalene

30) C obtuse isosceles

31) C obtuse scalene

32) C acute scalene

Step-by-step explanation:

A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.

An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.

Hope this helps :)

During a football game, the parents of the players are selling pretzels and popcorn to make money. They charge $2.50 for a bag of popcorn and $2 for a pretzel. The parents collect $336 in sales. They sell twice as many bags of popcorn as pretzels.

Write a system of equations to represent the situation.

How many pretzels did they sell?

Answers

Answer:

The parents sell 48 pretzels.

Step-by-step explanation:

Let a be the number of bags of popcorn sold, and b the number of pretzels sold.

2.5a + 2b = 336

a = 2b

2.5a + a = 336

3.5a = 336

a = 96

b = 48

I need this asap

What is the slope of this graph?

A: 3

B: - 1/3

C: 1/3

D: -3

Answers

Answer:

d, -3

Step-by-step explanation:

how do i do this ? what does the y = 1 have to do with the reflection

Answers

because you have to flip the thing

I need help with #22 & 23 ASAP!!!!please explain so I can understand

Answers

Answer:

22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)

Step-by-step explanation

22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.

23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.

Please help me out! its urgent!

Answers

Answer:

x = 7.5 cm

Step-by-step explanation:

ΔBCA ~ ΔECD ⇒ the corresponding sides are proportional.

[tex]\frac{AC}{DC}[/tex] = [tex]\frac{AB}{DE}[/tex]

AC = 4 + 6 = 10 cm

[tex]\frac{10}{6}[/tex] = [tex]\frac{x+5}{x}[/tex] ⇔ 10x = 6(x + 5) ⇒ x = 7.5 cm

Your job is to sort and stack marblesfor sale. A bag contains 44 marbles, and some green. If there are 11 red marbles, what is the ratio of green to red marbles

Answers

Answer:

3 : 1

Step-by-step explanation:

Given that :

Total Marbles in bag = 44

Color of marbles in bag : red, green

Number of red marbles = 11

The ratio of green to red marbles :

Number of green marbles :

(Total marbles in bag - number of red marbles)

(44 - 11) = 33 green marbles

Hence, ratio of green to red Marbles:

Number of green marbles : number of red marbles

33 : 11

3 : 1

Answer:

The correct answer is 2:1.

Step-by-step explanation:

I did the K12 assignment and is said this was the right answer.  

PLEASE HELP !! 10 POINTS AND BRAINLIEST !! <3

Answers

Answer:

Your answer would be (7, -9)

The answer would be (7, -9)

Somebody plz help!!

7. The length of a rectangle is 5 cm more than its width, w.
(For parts a) and b), write the starting formula then the simplified answer.)
a) Write an expression for the perimeter of the rectangle in terms of its width. (Perimeter=the sum of all sides of a shape)


b) Rearrange the formula to isolate for w.


c) The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
(Show your substitution then state the values for width and length)

Answers

Answer:

Give me some time let me do it

A fish is 18 feet below the surface of the lake. The fish swims up 12 feet before diving 45 feet. What is the current depth of the fish?

Answers

Answer:

I am pretty sure the answer would be 51 feet

What is this in simplest form

Answers

Simplify the expression.

Exact Form:

10/9

Decimal Form:

1.¯1

Mixed Number Form:

1/1/9

Answer:

It would be 1⅑

Step-by-step explanation:

First we turn the fractions into improper fractions.

4 7/9 would now be 43/9

3 2/3 would not be 11/3

Now, we have to make them have the same “bottom number”

3x11=33, 3x3=9

Now our equation is..

43/9 - 33/9 = 10/9

When we turn it into a simplified fraction, it would be 1⅑  

300% of 82 is what number?

Answers

Answer:246

Step-by-step explanation:

2.4 divided by 16.8 please hurry!!

Answers

0.14285714285

Calculator ;)

If the side opposite the 60 degree angle in a 30-60-90 degree is 12 centimetres, then what length of the side opposite the 30 degree angle?​

Answers

Answer:

4*[tex]\sqrt3[/tex]

Step-by-step explanation:

Sa se determine termenii de rang 10,15,20 ai progresiei aritmetice :a)-4,-1,2,5,...;b)10,6,2,-2...;c)1/2,1,3/2,2,...;d)-2/3,-2(6),-4 intregi pe langa 2/3

Answers

Answer:

   

Step-by-step explanation:

#1: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#).*
2x + 5y = -16
-3x + 7y = -5

Answers

Answer:

[tex](-3,-2)[/tex]

Step-by-step explanation:

First, you need to get one like term in each equation the same in order to eliminate. To do less damage to the equation, we'll use the x terms.

To get the x terms the same, multiply both equations by the opposite x term:

[tex]-3(2x+5y)=-3(-16)\\\\2(-3x+7y)=2(-5)[/tex]

Simplify by multiplying. Use the distributive property for the left side (remember, two negatives make a positive and a negative multiplied by a positive will always be negative):

[tex]-3(2x)-3(5y)=-3(-16)\\\\2(-3x)+2(7y)=2(-15)\\\\\\-6x-15y=48\\\\-6x+14y=-10[/tex]

Now subtract all like terms. The x terms cancel out:

[tex]-6x-(-6x)=0\\\\-15y-14y=-29y\\\\48-(-10)=58\\\\-29y=58[/tex]

Now solve the new equation for y. Isolate the variable by using inverse operations. The term can be seen as -29×y. In order to isolate the variable, use division (opposite of multiplication). Divide both sides by 29:

[tex]\frac{-29y}{29} =\frac{58}{29} \\\\-1y=2[/tex]

Make the variable positive. Multiply both sides by -1:

[tex]-1(-1y)=-1(2)\\\\y=-2[/tex]

The value of y is -2. Insert this value into either original equation:

[tex]2x+5(-2)=-16[/tex]

Solve for x. Simplify multiplication:

[tex]2x-10=-16[/tex]

Use inverse operations to get like terms on the same side of the equation. Add 10 to both sides (addition is the opposite of subtraction) to cancel out the -10 on the left:

[tex]2x-10+10=-16+10\\\\2x=-6[/tex]

Isolate the variable using inverse operations. The x term can be seen as 2×x. Division is the opposite of multiplication, so divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-6}{2} \\\\x=-3[/tex]

The value of x is -3. Therefore, the solution to the system is:

[tex](-3_{x},-2_{y})[/tex]

:Done

f (x) = 2x3 + x2 - 7x + 1 has

Answers

Answer: (x + 2) • (x - 1) • (2x - 3)

Step-by-step explanation:

x²-6x
Whats the answer?

Answers

Answer: x(x−6)

Step-by-step explanation:

Answer:

(x+0)(x-6) OR x(x-6)

Step-by-step explanation:

AC 1*0...AC=0

B -6...B=-6

AC 0*-6

B 0-6

(x+0)(x-6) OR x(x-6)

can someone help me with this?

Answers

Answer:

can u help me with sum I'll help u

1. y=(x-3)^2-12
2. y=5(x-2)^2-25

i’m going back to sleep, night

Hey I will give BRAINLIEST if its correct thanks !:)

Answers

Answer:

B

Step-by-step explanation:

C=2πr

which is 2*pi*radius

For you to give brainliest.

What do you call the pairs of roots of quadratic
equation with complex solutions?
Math

Answers

Imaginary numbers
Imaginary numbers contain complex solutions (a +- bi)


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

Step-by-step explanation:

Take the two equations and equal them together (2.35 + 0.25x = 1.75 + 0.40x) 2. isolate x onto one side by canceling out (2.35 (- 1.75) + 0.25x (.25x) = 1.75 (-1.75) + 0.40x (.25x) ) 3. get what X equal (x=4) 4. plug the new value of x (4) into ONE of the equations (2.35 + 0.25(4) ) 5. get your answer (3.35)

Which expression best represents the model shown below?
Answer choices
x + 1
2x + 2
x - 1
5x + 5

Answers

x-1

-2x+3x-3+2
x-3+2
x-1

How can you tell a triangle is similar with having only one side number?

Answers

Answer:

If the pictures are relevant:

Step-by-step explanation:

Measure the sides, or look for the best fit image

Graph the function f(x) = x – 4.
Use the line tool and select two points to graph.

Answers

You should plug this into a graphing calculator on your computer! It helps a lot!

x2 - 4x + ______________________

Answers

Answer:

4

Step-by-step explanation:

You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.

18/24 greater than or less than 55%

Answers

18/24= 75%
75% is greater than 55%

Answer:

I think 55°% is less

-8(8b-7)=-1-7b

How to solve

Answers

Answer: the answer is b=1

Other Questions
Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of the system is 3y = 2x 9. Which could be the other equation?2y = x 4.5y = x 36y = 6x 27y = x 4.5 I really need help what is the answer for 32 and 33 I will mark brainliest!!! ASAP PLEASE! _______ is a system of related goods and integrated services are bundled together and sold in the place of independent and isolated items If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places. N-(-7)= 12 how do you rewrite Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!! HELP ILL GIVE BRAINLIEST 1. Choose the most precise verb from the list below.smilelaughchuckletalk Please help me before I fail... I really need some help Which expression is equivalent to (5x - 4)2? Background information: This passage was written by Zhang Han, a member of the Ming administration. Merchants boast that their wisdom and ability are such as to give them a free hand in affairs. They believe that they know all the possible transformations in the universe and therefore can calculate all the changes in the human world, and that the rise and fall of prices are under their command. These merchants do not know how insignificant their wisdom and ability really are. . . . . . . If farmers do not work, there will be an insufficiency of food; if craftsmen do not work, there will be an insufficiency of tools; if merchants do not work, circulation of the three necessities will be cut off, which will cause food and materials to be insufficient. Foreigners are recalcitrant and their greed knows no bounds. . . . As to the foreigners in the Southeast, their goods are useful to us just as ours are to them. To use what one has to exchange for what one does not have is what trade is all about. What does Zhang believe about merchants? Merchants transform the economy by interacting with foreigners. Merchants are greedy, insignificant, and boastful. Merchants hold a lower position in society, but trade can be valuable. Merchants are wise and command the economy What is the mass, in grams, of 2.3 moles of gold? How does the text structure of "Wilson's War Message to Congress" help to support his message?A. Wilson focuses on a single fact to convince Congress to go to war against Germany. B. Wilson presents both his opinions and facts to make a clear argument for war against Germany. C. Wilson offers only his opinions on why entering World War I is a strategic move.D. Wilson details his viewpoint of the situation using little factual information. What is the solution set of the following equation?-8x + x + 15 = -7x + 12 15. Once Columbus understood he was not in India and explored more of the Americas, he understood this was a part of the world not on any maps in Europe, so Europeans began to call it The _______ and _______ Fill in blank multiple choice (Spanish) Subtract 7 from all and tell which is the most accurate measurement. The Jefferson band is selling baked goods to raise money for their trip. Their goa; is to profit at least $500. Each baked good sells for 2 dollars but costs $0.50 to make. How many baked goods will they have to sell to reach the goal? the simple formula for price elasicity of demand is How do you sign dates in ASL