Activity
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If each pom-pom has a total of 80 strands, how many of strands of each color are needed to make a pair of pom-poms? In this activity, you’ll work through this pom-pom problem step by step.

Part E
Now solve for w, b, and r for a pair of pom-poms using the total number of strands you found in part D. Solve three proportions similar to the work you did in Part B. Show your calculations.

Answers

Answer 1

Answer:

w: 56

b: 40

r: 64

Step-by-step explanation:

A pair of pom-poms need: 80 × 2 = 160 (strands)

To make a pair of pom-poms:

w: 160 × 35% = 56 (strands)

b:  160 × 25% = 40 (strands)

r:   160 × 40% = 64 (strands)

Answer 2

28 white, 20 blue and 32 red strands are needed to make a pair of pom-poms.

What is percentage?

Percentage is defined as ratio expressed as a fraction of 100.

Given that, total Strands = 80

∵white strands = 35%

w =  35%×80 =

w= 35/100×80

w =  28

∵blue strands = 25%

b =  25%× 80

b =  25/100× 80

b = 20

∵red strands = 40%

r = 40%× 80

r = 40/100× 80

r = 32

Thus, 28 white, 20 blue and 32 red strands are needed to make a pair of pom-poms.

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Related Questions

4. The circumference of a circle is 11 pi inches.What is the area, in square inches, of the circle? Express your answer in terms of pi (π). *
5. The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel
The picture is for 5

Answers

Answer:

Area of circle = π ⋅ ( Diameter 2 ) 2 = π ⋅ ( 11 2 ) 2 ≈ 95 sq in

Step-by-step explanation:

Circumference=π⋅DiameterDiameter=Circumferenceπ=11ππ=11inches

given,2πr=11π⇒r=112.

Hope this helps.

Which of the following is the correct graph of the linear equation below?
y+2-}(x-1)

Answers

Answer:

=y+3-x

Step-by-step explanation:

I recommend that you download the symbolab application, it is very good, it helps a lot

Find the distance between the pair of points given on the graph.

Answers

Answer:

ITS 4 CM

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (1, 0) ← 2 points on the line

d = [tex]\sqrt{(1+2)^2+(0+4)^2}[/tex]

   = [tex]\sqrt{3^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

Circle Y has a radius of 22 meters and Circle Z has a radius of 27 meters. Which of the following statements are true? Select all that apply.
o The circumference of Circle Y=44π m
o The circumference of Circle Z=27π m
o The circumference of Circle Y is approximately 32 m less than the circumference of Circle Z.
o The circumference of Circle Z is approximately 170 m.
o The circumference of Circle Z is approximately 32 m less than the circumference of Circle Y

Answers

Answer:

A

C

D

Step-by-step explanation:

Consider function fbelow.
f(t) = 4* - 6
Determine function g which is created by shifting the graph of function fup 5 units.
O A.g(x) = 98 - 6
OB.g(x) = 4(x+5)-6
O C.g(x) = 44.1
OD.g(x) = 4x + 5​

Answers

Answer:

Step-by-step explanation:

For this case we have a function of the form:

f (x) = 4 ^ x-6

We want to move the graph five units up.

Therefore, the new function is given by:

g (x) = f (x) +5

Substituting we have:

g (x) = 4 ^ x-6 + 5

Rewriting the function:

g (x) = 4 ^ x-1

Answer:

The new function is given by:

g (x) = 4 ^ x-1

option C

Click to let other

The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To shift the graph of function f up 5 units, we need to add 5 to the output (y-value) of the function.

Therefore, the function g(x) will be:

g(x) = f(x) + 5

Substituting the expression for f(x), we get:

[tex]g(x) = 4^x - 6 + 5\\g(x) = 4^x - 1[/tex]

Therefore,

The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]

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Desiree wants to place a wire fence around the base of an apple tree... The tree has and mulch area around it, is shaped like a circle that has a radius of 14 inches... What length of fencing does Desiree need? ROUND TO THE NEAREST TENTH AND INCLUDE UNITS IN YOUR ANSWER

Answers

Answer:

( About ) 88 inches

Step-by-step explanation:

Considering this wire fence to be the circumference of the base of this apple tree, provided it is circular, let us solve for the amount of fencing given the radius of this circle is 14 inches;

[tex]Radius Of Circle - 14 inches,\\Diameter - 14 inches * 2 = 28 inches,\\Circumference - 2\pi r, r = radius,\\\\2\pi r - \pi d, d = diameter,\\\\Circumference Of Circle - \pi * ( 28 inches ) = ( About ) 88 inches\\Length Of Fencing = ( About ) 88 inches[/tex]

Length of Fencing rounded to 10th place, ( About ) 88 inches

The person is 64 in. tall and casts a 48 in. Shadow. The tree casts 81 in. Shadow. How tall is the tree?

Answers

Answer:

65 in. shadow.

Step-by-step explanation:

if someone is 64 in. and they cast a 48 in. shadow than their shadow is 16 in. smaller than they are. 81 in. - 16 in. = 65 in.

97 in. is the height of the tree

pls do this one i will mark u brainlist And its highest points u only have 20 minutes to do​

Answers

Answer:

1. 320 2. 144 3. 330 4. 160 5. 336 6. 1440 7. 225 8. 2 9. 150

Step-by-step explanation:

to find the volume of a cube you do width*length*height.

Travis is temporarily not working while his office is being remodeled. He
expects to be back at work in 2 months, but won't be able to afford his
mortgage payment until then. Which of the following is the best option for
him?
A. Forbearance agreement
B. Foreclosure
C. Moving to another state
D. Bankruptcy

Answers

I believe the answer is B.
Because he can not afford to to pay them at the moment but he will be able to pay them when they are done and he gets to go back to work

Answer:

Correct answer is Forbearence agreement

Step-by-step explanation:

he was incorrect

Sam and Bethan shar £54 in the ratio 5:4 work out how much each person gets

Answers

Pretty sure it’s like this.

5:4 = 5+4 =9
£54/9 = £6 for 1 ratio

So
5 ratio would be £6 x 5 = £30
And
4 ratio would be £6 x 4 = £24
Answer is: 30:24

betty started the summer with 8 hamsters. by september she had 18 hamsters, what is the percent change?

Answers

Answer:

The percentage changed is 44.444%

Step-by-step explanation:

8÷18×100

Answer:

125%

Step-by-step explanation:

The increase in the hamster count was 10.  Thus, the percentage change (increase) is

  10

-------- * 100%  =  125%

   8

What is the value for x?
Enter your answer in the box.

Answers

Answer:

8

Step-by-step explanation:

because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42

then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!

(sorry if the explanation doesnt make sense )

11. Rocco and Biff are two koalas sitting at the
top of two eucalyptus trees, which are
located 10 m apart, as shown. Rocco's tree
is exactly half as tall as Biff's tree. From
Rocco's point of view, the angle separating
Biff and the base of his tree is 70°. How high off the ground is each koala?

Answers

Answer:

Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.

Step-by-step explanation:

Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is [tex]\frac{x}{2}[/tex].

Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into [tex]35^{0}[/tex] each.

By alternate angle property,

Tan  [tex]35^{0}[/tex] = [tex]\frac{\frac{x}{2} }{10}[/tex]

[tex]\frac{x}{2}[/tex] = Tan  [tex]35^{0}[/tex] × 10

  = 7.00021

⇒       x = 2 × 7.0021

            = 14. 0042

         x = 14

Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.

Answer:

Biff height = 9.48m

Rocco's height= 4.74m

Step-by-step explanation:

As Rocco's tree is half as tall as Biff's tree, draw a horizontal line from Rocco on Rocco's tree which intersects the Biff's tree at he middle.

The angle 70 degrees is divided by 2 because of the horizontal line.

An upper right angle triangle is form by Rocco (point A), Midpoint of Biff's tree(point B), and Biff (point C).

As

[tex]tan\theta = \frac{perpendicular}{base\\}[/tex]

where θ=35 and  base= 10m

[tex]tan35=\frac{perpendical}{10}[/tex]

[tex](tan35)(10)=perpendicular\\perpendicular=4.74[/tex]

As the perpendicular found is that of a triangle formed from midpoint of Biff's, to find the total height, multiply the found perpendicular with 2.

Biff height = 4.74*2 = 9.48m

Rocco's height is half of biff height

Rocco's height= 9.48/2 = 4.74m

Which systems of equations have infinite solutions?

Answers

Answer:

addition

Step-by-step explanation:

Find the volume of the rectangular prism.

length = 5 1/4 inches

width = 4 1/2 inches

height = 3 inches

Answers

Answer:

70.825 square inches

Step-by-step explanation:

Answer:

[tex]= 70 \frac{7}{8} {in}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 4\frac{1}{2} \times 3 \times 5 \frac{1}{4} \\ = \frac{9}{2} \times 3 \times \frac{21}{4} \\ = \frac{567}{8} \\ = 70 \frac{7}{8} {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

I need help answering these. What does the arrows going both ways mean?

Answers

Answer:

I'm pretty sure it means it is any number

Answer:

It means there is no beginng point or end point.

Check
Sort the polynomials according to whether they are prime or non-prime.
6x3 - 5x2 + 2x-14
124 - 18x2 + 8x2 - 12
6x2 + 9x + 10x + 15
1272 - 3x + 4x +7

Answers

Answer: first, second and fourth are primes, the third is not-prime.

Step-by-step explanation:

A prime polynomial can not be reduced.

Let's see the options:

A) 6x^3 - 5x^2 + 2^x-14

You can see that we have a coefficient equal to 5 and other equal to 2.

As both are prime numbers, we can not reduce this, so this is a prime polynomial.

B) 12x^4 - 18x^2 + 8x^2 - 12 = 12x^4 -10*x^2 + 124

Both coefficients are even, so we can reduce it to:

12x4 -10*x^2 + 124 = 2*(6x^4 -5*x^2 + 72)

So this is not prime.

C) 6x^3 + 9x^2 + 10x + 15

we have that:

6 = 3*2

9 = 3*3

10 = 2*5

15 = 3*5

a polinomial is only reducible if all the coefficients share at least one prime factor, here we can see that this is not the case, so this is a prime polinomial.

D) 12x^2 -3x + 4x + 7 = 12x^2 + x + 7

Again, here we have that one coefficient is 1, the only factor of 1 is itself, so we can not reduce this polinomial, this is prime.

Answer:

answer shown in picture

Step-by-step explanation:

Last Option Is 4/5. Please Help ASAP

Answers

Answer:

C: 3/5

Step-by-step explanation:

sin = opposite/hypotenuse

It's a 3-4-5 triangle... so then sin = 3/5

Rate and tell me if I'm right!! :)

Calculate the circumference of the circle in terms of π. the diameter is 6 C=πd

Answers

Answer:

18.85

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

C = [tex]\pi d[/tex]

C = [tex]\pi 6[/tex]

C = 3.14 * 6

C = 18.84

Find the value of x.
with work plz​

Answers

Answer: x = 117 degrees.

Step-by-step explanation:  The sum of the interior angles of a pentagon should equal 540 degrees. The value of x has to make the total of the angles equal to 540.  140 + 138 + 59 +86 is 423.  Now we need to subtract 423 from 540 to know the value of x since it has to all add up to 540. 540-423 is 117.

Answer:

117°

Step-by-step explanation:

sum of angles of a polygon=(n-2)*180

where n is the number of sides.

it has 5 sides.

x+86+140+138+59=(5-2)*180

x+423=3*180

x=540-423

x=117°

5^7/5^3 in factored form

Answers

Answer:

5^4

Step-by-step explanation:

5^7/5^3

When we divided exponents with the same base

a^b / a^c = a^(b-c)

5^7/5^3 = 5^(7-3) = 5^4

Answer:

5⁴

Step-by-step explanation:

When dividing exponents with the same base, you subtract the exponents without changing the base.

[tex]\frac{5^7}{5^3} \\\\5^4[/tex]

Select the correct answer. What is the simplified form of this expression? (-x2 + x) + (4x2 − x − 1)

Answers

Answer:

[tex]3x^2-1[/tex]

Step-by-step explanation:

[tex](-x^2+x)+(4x^2-x-1)= \\\\-x^2+4x^2+x-x-1= \\\\3x^2-1[/tex]

Hope this helps!

this answer is 3x^2-1

Round 189.939360828 to 4 decimal places.

Answers

Answer:

189.9394

Step-by-Step Explanation:

Round to the nearest 0.0001 or

the Ten Thousandths Place.

How long will it take Jordon to drive 600 miles
if his average speed is 65 miles per hour?
t =600/65 per hour
How many hours

Answers

Answer:

about 9.23 miles or 9 miles

Step-by-step explanation:

you divide 600 by 65

Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )

Answers

Answer:

19.625

Step-by-step explanation:

If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5

2.5^2*3.14

=19.625

Which describes the transformation? Select three options.
Triangle ABC was translated to form A'B'C'.
A'
It is rigid.
:::
It is nonrigid.
А
x
It is isometric.
B
The size is preserved.
C
The angles are not preserved.
В
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer:

It is rigid

It is isometric

The size is preserved

Step-by-step explanation:

Given that Triangle ABC was translated to form A'B'C', then both triangles are congruent triangles.

A translation only moves the figure, preserving the size.

Because the size is preserved, it is a rigid transformation or isometric transformation.

Answer:

acd

Step-by-step explanation:

Find the value of x for which AE¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯. answers: 43 31 47 121

Answers

Answer:

the answer is 31

Step-by-step explanation:

The measure of angle x is 31 degrees

Sum of angles of a quadrilateral

From the given quadrilateral, the sum of the adjacent angles are equal. Hence;

59 + 31 = 47 + x + 12

90 = 59 + x

Make x the subject of formula

x = 90 - 59

x = 31 degrees

HEnce the measure of angle x is 31 degrees

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Chrissy says that all rectangles must have 2​ pairs of equal angles.

Which statement best proves that Chrissy is correct?

A All rhombuses have 2​ pairs of equal angles.

B All quadrilaterals have 2​ pairs of equal angles.

C All parallelograms have 2​ pairs of equal angles.

D All trapezoids have 2​ pairs of equal angles.

Answers

Answer:

C

Step-by-step explanation:

2 pairs of parallel sides. Opposite sides and opposite angles are congruent.

Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? ​Will Mark Brainliest.

Answers

Step-by-step explanation:

There is no option to choose from, but the knowledge of what irrational numbers are, would help cover this cost.

A rational number is a number that can be written as a simple fraction, a/b. Examples are 1/2, 5/6,...

If a number cannot be written as a simple fraction, then it is called irrational.

Example of irrational numbers: √2, π

Answer:

Here are the statements!!!

Which angle is congruent to ∠N

Answers

Answer:

X

Step-by-step explanation:

Because it was written in that order. Pls brainliest!!

Answer:

∠X because of corresponding parts of congruent triangles are congruent.

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