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

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

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Answer:

   

Step-by-step explanation:

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

How to solve

Answers

Answer: the answer is b=1

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:

#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

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:

2.4 divided by 16.8 please hurry!!

Answers

0.14285714285

Calculator ;)

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

Answers

Answer: (x + 2) • (x - 1) • (2x - 3)

Step-by-step explanation:


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)

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

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.

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:

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.

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

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!

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

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

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

Answers

Imaginary numbers
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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

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.

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.

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°.

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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

300% of 82 is what number?

Answers

Answer:246

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

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.  

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Answers

Answer:

can u help me with sum I'll help u

1. y=(x-3)^2-12
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i’m going back to sleep, night

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  

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Answers

Answer:

Your answer would be (7, -9)

The answer would be (7, -9)

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

18/24 greater than or less than 55%

Answers

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

Answer:

I think 55°% is less

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