A polypay sheep produces an average $9.9$ pounds of wool annually. This wool is cleaned, spun into yarn and then packaged into skeins of $175$ yards of yarn each. One pound of wool makes $10.95$ miles of yarn. If farmer Bill has a flock of $200$ polypay sheep, to the nearest thousand skeins, how many skeins of yarn is his flock expected to produce in one year

Answers

Answer 1

Answer:

218,048. skeins

Step-by-step explanation:

Break down the process into proper order.

This question is built to throw you off by not telling you about the information in order.

First, the polypay sheep produces 9.9 pounds of wool.

Then, each pound produces 10.95 miles of yarn.

And finally, the yarn is packaged into skeins that are 175 yards each.

Step 1: Outline the work

Each polypay sheep is 9.9 pounds. And we will use that total weight to find the amount of yarn in miles.
Then we will split up that yarn into equal pieces to make skeins.

BUT, the pieces are measured in yards, so we will have to convert the miles of yarn into an equivalent amount in yards as well. (Unmatched units of measurements don't mix well).

So, our equation will look like this:

(#of sheep) [tex]\times[/tex] (9.9 pounds per sheep) [tex]\times[/tex] (10.95 miles per yarn) [tex]\times[/tex] (1760 yards per mile) [tex]\div[/tex] (175 skeins per yard)

Step 2: Plug and Ch

The number of sheep Bill has is 200.

So, we plug that into the number model we made.

[tex]200\times9.9\times10.95\times1760\div175[/tex]

We end up with:

218,048.914

The decimal indicates that there is a remaining amount of yarn that couldn't be properly packaged into a skein.

Since, that remainder is not a complete skein, we must ignore its existence.

So the number of skeins expected is:

218,048

Answer 2

The number of skeins of yarn is Bill's flock expected to produce in one year is 1819.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a polypay sheep produces an average 9.9 pounds of wool annually.

Farmer Bill has a flock of 200 polypay sheeps

So, total weight of wool is 9.9×200

= 1980 pounds

One pound of wool makes 10.95 miles of yarn.

So, the number of yarns = 1980/10.95

= 180.82 miles of yarn

We know that, 1 mile =1760 yards

Then, 180.82 miles

= 318243.2 yards

This wool is cleaned, spun into yarn and then packaged into skeins of 175 yards of yarn each.

Number of skeins = 318243.2/175

= 1819

Therefore, the number of skeins of yarn Bill's flock expected to produce in one year is 1819.

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Related Questions

HELP PLS I WILL GIVE BRIANLY!
The students will paint 4 rooms on the first floor and the conference room on the second floor. Each room on the first-floor room is 4m x 5m.

1. Calculate the area of one of the rooms.​

Answers

Answer:

20m

Step-by-step explanation:

The rooms are 4m x 5m.

To find the area, multiply length by width: 4*5=20

The Area of one room is 20 m².

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

First, Area of one room= lw

                                      = 4 x 5

                                      = 20 m²

Now, Area of four room = 4 x 20

                                      = 80 m²

Thus, area of one room is 20 m².

Learn more about Area here:

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Two side of a triangle have the following measure 11 and 12. Find the range of possible measure for the third side.

A) 2 B) 3 C) 1 D) 1

Answers

3 i’m pretty sure !

what is the answer to 4 - (-4)

Answers

The answer to this question is 8

X+ 6
X+ 3
=
x + 2
x-5
a.
I = x
c.
X= -9
b.
S = x
d. x= -8

Answers

Step-by-step explanation:

x+6/x+2=x+3/x-5 x<>2 and x<>5

(x+6)(x-5)=(x+3)(x+2)

x2-5x+6x-30=x2+2x+3x+6

-5x+6x-30=2x+3x+6

x-30=5x+6

x-5x=6+30

-4x=36

x=-9

Note* x2=x in the power of 2

HELP please can you answer this please

Answers

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

//

[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30

HELP it is due tomorrow and I am super super stuck I have been doing this one for the last 2 days and did I make any progress? NOOOOOOOOOO I GIVE UP

Answers

Step-by-step explanation:

First thing you need to do is Slope - intercept form of the line going through point A and B.

Slope-intercept form: y = mx + b (m = slope, b = y-intercept)

To get slope: [tex]\frac{y2 - y1}{x2-x1}[/tex]

Lets set point A as point1 (x1, y1) and point B as point2(x2, y2).

x1 = -4

x2 = 8

y1 = 6

y2 = 3

If you plug these numbers in the slope equations:

[tex]\frac{3 - 6}{8 - 4}[/tex] = [tex]\frac{-3}{4}[/tex]

m = [tex]\frac{-3}{4}[/tex]

So a parallel line is a line that has a different b value but the same slope value.

To get b  for the parallel line : we need to substitute the x and y for a given point (0,-2).

which will make -2 = 0([tex]\frac{-3}{4}[/tex] ) + b

now we solve for b:

-2 = 0 +b

b = -2

So the whole Slope-intercept form of the parallel line is: y = [tex]\frac{-3}{4}[/tex] x -2

Please asnwer the picture

Answers

Answer is A. 11
7/8 divided by 1/8 is 7
7 +2^2 = 7+4 = 11

1. 3x + 2y - Z-6
a) 3 terms
b) 5 terms
c) 4 terms
d) 6 terms
PLEASE HELP

Answers

Answer:

c) 4 terms

Step-by-step explanation:

3x is 1 term ,2y is 1 term,z is 1 term,6 is also 1 term

so in all there are 4 terms

What is the equation of the line that represents the horizontal asymptote of the function f(x)=25,000(1+0.025)^(x)?

Answers

Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

[tex]\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\[/tex]

[tex]Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0[/tex]

explain why the expression 2y-y can be written as why

Answers

Answer:

y

Step-by-step explanation:

2y-y=y

Answer: 2y-y can be written as y because 2y means you have 2 y’s and 2y’s minus 1 y is just 1 y

Step-by-step explanation:

This cylinder has a volume of 392\pi392π cubic inches and a diameter of 14 inches. Find the radius and the height.

Answers

Answer:

15688

Step-by-step explanation:

Sami lights up a candle every 10 minutes. Every candle burns for exactly 40 minutes. How many candles are burning exactly 55 minutes after Sami lit up the first candle?

Answers

Answer:

4

Step-by-step explanation:

Candle is lit every 10 minutes :

Number of candles lit in 55 minutes:

Starting from 0 minute ; Numbe rod candles lit on 55 minutes = 6

1st candle burns out after 40 minutes

Second burns out after 50 minutes

Third will burn out after 60 minutes

Hence Number of candles still burning :

Number of candles lit - Number of candle burnt out

6 - 2 = 4 candles

How many distinct, real solutions does the following equation have?
x^2=49
A) Two distinct, real solution
B) One distinct, real solution
C) No solutions

Answers

Answer:

A) two          (they are 7 and -7)

Step-by-step explanation:

Write the converse, inverse and contrapositive of each conditional statement, and tell if the resulting statement is True or false

2. If mA = 100, then is not a right angle.
Converse:
Inverse:
Contrapositive:​

Answers

Answer:

See below.

Step-by-step explanation:

It's good to recall what these terms mean:

Conditional statement: if p then q

Converse: if q then p

Inverse: if not p then not q

Contrapositive: if not q then not p

Conditional statement:

If m<A = 100, then <A is not a right angle.

p = m<A = 100

q = <A is not a right angle

Converse:

If angle A is not a right angle, then m<A = 100.

False. An angle that is not a right angle can have many measures other than 100 degrees.

Inverse:

If the measure of <A is not 100 degrees, then <A is a right angle.

False. If an angle has a measure of other that 100 degrees, it can have many measures in addition to 90 degrees, so it is not necessarily a right angle.

Contrapositive:

If angle A is a right angle, then m<A is not 100 degrees.

True. Only a right angle has a measure of 90 degrees, so an angle with measure 100 deg cannot be a right angle.

Add.
-1 + 2 = 1
- 6 + (-5)

Answers

Answer:

-6 + -5 = -11

Step-by-step explanation:

Plz help ill mark brainlest

Answers

Answer:i believe its 3 correct me if im wrong

Step-by-step explanation:

Answer:

either 6/10 or 7/10

Step-by-step explanation:

Which of these rational numbers is also an integer?
1. 2/4
2. 0.24
3. 4/2
4. 2.4

Answers

Answer:

Ce clasă ești sa văd daca te pot ajuta

Answer:

3. 4/2

Step-by-step explanation:

Easier way to explain it is the numerator or the top number is higher then the denominator or the bottom number.

Graph the image of △JKL after a reflection over the line y=x

Answers

Answer:

K (2,-4)

L (4,-6)

J (2,-9)

Step-by-step explanation:

The required graph of the image of △JKL after a reflection over the line y=x has been attached below.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle △JKL is given in the represented graph, which vertices are as follows :

J (-9, 2)

K (-4, 2)

L (-6, 4)

The image of △JKL after a reflection over the line y = x will be triangle △J'K'L' that vertices are as follows :

K' (2,-4)

L' (4,-6)

J' (2,-9)

Hence, the required graph of the image of △JKL after a reflection over the line y=x has been attached below.

To learn more about the transformations click here :

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01:53:18
Which inequality represents the sentence below?

Two more than a number is less than 14.
2 + n less-than-or-equal-to 14
2 + n less-than 14
2 + n greater-than-or-equal-to 14
2 + n greater-than 14

Answers

Answer: It's the second option

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2020-2021 <3

chase bought his dream car ,a chevy corvette, for $58,735. sales tax is 5% where chase lives what is the total price chase paid for the corvette?

Answers

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

b/4 = 3.2 help me plz

Answers

Answer:

Step-by-step explanation:

B/4=3.2

B=12.8

Michael is going to invest in an account paying an interest rate of 5.8% compounded
monthly. How much would Michael need to invest, to the nearest dollar, for the value
of the account to reach $260 in 12 years?

Answers

Answer:

P=130

Step-by-step explanation:

What are the solutions to the equation (x−32)2=56?

x=±2√22
x=32±2√ 14
x=4√5±2√14
x=±2√6

Answers

Answer:

         [tex]\bold{ x=32\pm2\sqrt{14}}[/tex]

Step-by-step explanation:

                                             [tex](x-32)^2=56\\\\x-32=\pm\sqrt{56}\\\\x=32\pm\sqrt{4\cdot14}\\\\ x=32\pm2\sqrt{14}[/tex]

please help
How are transformations related to congruence?

Answers

Answer:

Congruence transformations

transformations that are performed on an object that can create a congruent object

The graph shows a function. Is the function linker or non linear?

Answers

Answer:

It is linear since it is a straight line.

Can someone please help me ASAP? What are the points? Point: (_, _)

Answers

Answer:

Step-by-step explanation:

I believe the point is 2:5

Hope this helps

Lewis scored 0.15 of the points in a basketball game. How many of the team's 120 points did Lewis score

Answers

18 i guess??

it looks like we're just doing 120x0.15

Help with math

Find CE.

Answers

Answer:

6

Step-by-step explanation:

if DB equal to 6 then look down at CE, it has the same distance as D to B so CE equal to 6.

9514 1404 393

Answer:

  CE = 10

Step-by-step explanation:

Assuming BC is parallel to DE, that segment divides the sides proportionally.

  CE/CA = BD/BA

  CE/25 = 6/15

  CE = 25(6/15) . . . . multiply by 25

  CE = 10

angles
B
D
The AAS Triangle Congruence sch
Theorem can be used to show that ABE CDE
Choose...
Vertical Angles
Alternate Interior Angles
AAS Triangle Congruence
SSS Triangle Congruence

Answers

Answer:

Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.

Step-by-step explanation:

Ashley and Carmen are both saving money for college. They each deposit a constant amount from their paychecks into their savings accounts. Which girl saves more money per paycheck? Explain how you know.

You have to use slopes

Answers

Carmen because she has more money in her savings account starting off with 50 dollars at 0 deposits.
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