A carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs 169 lb, how much wool is in the carpet?
lb

Answer:

There are 0.13 acres per pound of seed.

Step-by-step explanation:

Give Brainliest if I helped!

The values of trigonometric function are tanθ = -1 and cotθ = -1.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

We have been given that trigonometric function

⇒ sinθ = √2/2

⇒ cosθ = -√2/2

We have to determine the function of tanθ and cotθ

Since tanθ = sinθ/cosθ

Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get

⇒ tanθ = (√2/2)/(-√2/2)

⇒ tanθ = (√2/2)×(-2/√2)

⇒ tanθ = -1

Since cotθ = cosθ/sinθ

Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get

⇒ cotθ = (-√2/2)/(√2/2)

⇒ cotθ = (√2/2)×(-√2/2)

⇒ cotθ = -1

Therefore, the values of trigonometric function are tanθ = -1 and cotθ = -1.

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

The day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

Given is a table that shows the number of adults and children in a given day care center.

The day care center with smallest child - adult ration can be found by separately finding the child - adult ratio for each center.

1 → Sunnyside Day Care Center.

The ratio of children to adult at Sunnyside Day Care Center is given by -

77/11 = 7 : 1

2 → Westside Day Care Center.

The ratio of children to adult at Westside Day Care Center is given by -

88/11 = 8 : 1

3 → Little Ones Day Care Center.

The ratio of children to adult at Little Ones Day Care Center is given by -

39/13 = 3 : 1

On comparing -

3 : 1 < 7 : 1 < 8 : 1

Hence, the day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.

To solve more questions on Ratio comparison , visit the link below-

https://brainly.com/question/16754399

#SPJ1

The least child-adult ratio will be the division of the numbers 11 by 88. Then the least child-adult ratio will be 1/8.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Your parents have limited the field of options for your younger brother's daycare to only three facilities. They'll pick the facility with the lowest child-to-adult ratio.

Center                  Adults             Children

Sunnyside               11                       77

Westside                 11                       88

Little Ones              13                      39

The least child-adult ratio will be the division of the numbers 11 by 88. Then the ratio will be given as,

⇒ 11 / 88

⇒ 1/8

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ1

The distance first from bottom of both the pole to the anchor point is approximately 56 feet smaller than the height of the pole, hence 44 feet cannot be the height of the pole. the height of both pole is 496 feet.

In mathematics, a quadratic equation is a second-degree equation of both the form ax2 + bx + c = 0. The coefficients are a and b, the constant term is c, and the variable is x. Because the variable x has a second degree, this quadratic equation has two roots or answers.

A telephone pole is said to have a cable attached to its top that is secured to the ground. The distance from the pole's bottom to the anchor point is 56 feet less than the pole's height. So the distance from the bottom of the pole to the anchor point is:

x - 56

The wire must be 8 feet longer than just the height of the pole, thus the wire length would be:

x + 8

We know that the length of the wire is the hypotenuse of a right triangle, thus we can apply Pythagoras' theorem as follows:

(x + 8)²  = x² + (x - 56)²

x² + 16x +64 = x² +  x² - 112x + 3136

x² + 16x +64 = 2x²  - 112x + 3136

2x² + 32x + 128 = x² - 56x + 1568

2x² + 32x + 128 - x² + 56x - 1568 = 0

x² - 88x + 1440 = 0

The value pf x will be:

x = 44

x = 496

The distance first from bottom of both the pole to the anchor point is approximately 56 feet smaller than the height of the pole, hence 44 feet cannot be the height of the pole. the height of both pole is 496 feet.

To know more about quadratic equation visit:

https://brainly.com/question/17177510

#SPJ9

As per the given ratio

a. Quantity of oil mixed with 8 gallons of gasoline is (8/20) gallons.

b. If 1 gallons=128fluid ounces then (8/20)gallons=51.2 fluid ounces.

As given in the question,

(Gas /oil) ratio=20: 1

Let x gallons of oil mixed with 8 gallons of gasoline

a.

21:1=8 : x

⇒x=(8/20) gallons

b.

1 gallon=128 fluid ounces

⇒(8/20)gallons=(8/20)×128

                         =51.2fluid ounces

Therefore,  as per the given ratio

a. Quantity of oil should be mixed with 8 gallons of gasoline is (8/20) gallons.

b. If 1 gallons = 128fluid ounces then (8/20)gallons=51.2 fluid ounces.

Learn more about ratio here

brainly.com/question/13419413

#SPJ1

When written in standard notation, there are 11 zeroes before the decimal point.

We have the distance of earth from a closest star.

We have to write it in the standard notation and determine how many zeros does this number contain before the decimal point.

Standard notation of a number is when a number is written with only number digits.

According to the question -

Distance from the star to earth = d = 3.99 x 10¹³ Km

In Standard notation, it will be written as -

399 , 000 , 000 , 000 , 00.00

Before the decimal point the standard notation consists of 11 zeroes.

Hence, when written in standard notation, there are 11 zeroes before the decimal point.

To solve more questions on Standard notation, visit the link below-

https://brainly.com/question/17136267

#SPJ1

Answer:

2x + 44 (or) 2(x + 22)

Step-by-step explanation:

Let's solve the problem,

→ 8(x + 6) - 6(x + 1) + 2

→ 8x + 48 - 6x - 6 + 2

→ 2x + 48 - 4

→ 2x + 44

Thus, the answer is 2x + 44.

There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

To learn more about pigeon related sums, visit:

brainly.com/question/18500838

#SPJ1

There are 2 pigeons jumped down to the street.

Total no. of pigeons on a curb=9

No. of pigeons fly away=3

No. of pigeons stayed in the curb=4

Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2

This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.

Hence, there are 2 pigeons jumped down to the street.

To learn more about pigeon related sums, visit:

brainly.com/question/18500838

#SPJ1

Since the probability of having a severe accident is 10% in any given year, the factory might expect to experience one accident every 10 years.

Probability refers to the likelihood of an event occurring from many possible outcomes.

Probability shows the ratio or percentage of an outcome happening.

Probability is always stated as a proportion of an occurrence.

The probability of a severe accident = 10%

The number of years when an accident should be expected = 100/10 = 10 years

In 10 years, when an accident might occur = 1 times (10 x 10%).

Thus, under probability, the factory might expect to experience one accident every 10 years.

Learn more about probability at https://brainly.com/question/13604758

#SPJ1

Answer: c

Step-by-step explanation:

Answer:

Surface area is also 384.

Step-by-step explanation:

A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384

The value of n in [tex]^nC_3=120[/tex] is 10 .

It is given that [tex]^nC_3=120[/tex]

Using equation (1) , we get

   [tex]\frac{n!}{3!(n-3)!} =120\\\ \\\frac{n(n-1)(n-2)(n-3)!}{3\times2(n-3)!} =120\\\\\n(n-1)(n-2)=720\\[/tex]            ....(2)

Prime factorization of 720 is given by

  [tex]720=2^4\times3^2\times5\\720=10\times9\times8[/tex]

720 can be written as [tex]10(10-1)(10-2)[/tex]

Putting above value in equation (2) , we get

 [tex]n(n-1)(n-2)=10(10-1)(10-2)[/tex]

On comparing LHS = RHS we get

  n = 10

Learn more about combination here :

https://brainly.com/question/11732255

#SPJ9

The values of a and b make this equation true/sqrt648 = /sqrt2^a x 3^b will be a = 3 and b = 4.

It should be noted that from the information given, the equation is given as:

✓648 = ✓(2^a × 3^b)

when a = 3

b = 4

This will be illustrated as:

✓648 = ✓(2^a × 3^b)

✓648 = ✓(2³ × 3⁴)

✓648 = ✓(8 × 729)

Therefore, the values of a and b make this equation true? /sqrt648 = /sqrt2^a x 3^b will be a = 3 and b = 4.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided​ is the 11 times.

According to the statement

We have to find that the number of times in the next 12 hours the hour hand and the minute hand coincided.

So, For this purpose, we know that the

An Analog Clock is a clock having the numbers 1 to 12 or equivalent Roman numerals around its face and three distinct moving hands to show seconds, minutes, and hours.

From the given information:

The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided​

Then

we know that the

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

AM

12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44.

So, In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided​ is the 11 times.

Learn more about Analog Clock here

https://brainly.com/question/17843388

#SPJ1

From the given probabilities, the odds are given as follows:

This problem asks for the odds of both events whose probabilities are given.

Hence, an odd can also be expressed as follows:

Odd = probability/(1 - probability)

Hence the odds are given as follows:

More can be learned about probabilities and odds at https://brainly.com/question/25683609

#SPJ1

Answer:

13/50

Step-by-step explanation:

P(defective) = Number of defective items ÷ total number of items
= 13 defective ÷ 50 total = 13/50

Answer:

resposta é 400

Step-by-step explanation:

não sei a explicação para isso

Account balance of Ginny after withdrawal = $ 20 .

Given : Ginny's account balance before withdrawal ie . $ 40

            Her withdrawal amount ie . $ 20

To find : account balance after withdrawal

Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .

After withdrawal ( taking out ) of $ 20 ,

Ginny has 40 - 20 = $ 20 left .

After adjustment , final amount = $ 20 .

Therefore , account balance of Ginny after withdrawal = $ 20 .

To learn more on word problems follow link :

https://brainly.com/question/21405634

#SPJ9

Answer: Door 2

Step-by-step explanation:

Only one of the doors can be true. If the sign on door 2 is false, that means there is neither a lady or tiger behind the doors. That means door 1 is false. Which means the lady is not in door 1, so she must be behind door 2.

The region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.

It shouldbe noted as opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.

For uphill = 10 sheep = 10 bushels

For uphill = 1 sheep = 1 bushels

For down plain = 4 sheep = 2 bushels

For down plain = 1 sheep = (1 / 2 ) bushels

Therefore, then for 1 sheep, it should be noted that 1 bushel is required in the hills.

Therefore, the region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.

Learn more about absolute advantage on:

https://brainly.com/question/1655791

#SPJ1

Here is the table of values:

Minutes   Total cost

0                 $3

1                   $3.80

2                  $4.60

3                  $5.40

The equation representing the total cost is C = $3 + $0.80tt

The total cost of using a computer is a function of the initial charge, cost per minute and total number of minutes the computer was used.

Total cost = initial charge + (cost per minute x number of minutes)

C = $3 + ($0.80 x tt)

C = $3 + $0.80tt

Total cost when the computer is used for one minute:  C = $3 +( $0.80 x 1) = $3.80

Total cost when the computer is used for two minutes:  C = $3 +( $0.80 x 2) = $4.60

Total cost when the computer is used for three minutes:  C = $3 +( $0.80 x 3) = $5.40

To learn more about total cost, please check: https://brainly.com/question/25717996

#SPJ1

Answer: 2.5 mi/hr. 7.5/3= 2.5

Step-by-step explanation:

The intersection between A and B gives the empty set, so we can conclude that there are no common elements between the sets A and B.

Here we only know that:

A ∩ B = ∅

First, the intersection between two sets (defined by the symbol ∩ ) is the set of all the common elements between the two sets.

In this case we can see that the intersection between A and B gives the empty set, this means that there are no common elements between the sets A and B.

If you want to learn more about intersection of sets:

https://brainly.com/question/2166579

#SPJ1

Answer:

i'm pretty sure it's C.

Step-by-step explanation:

The rate of customers entering the store in 1 minute is 2.5 customers per minute.

So, the ratio is 10 : 4.

Now,

Divide both sides by 4 as follows:

Therefore, the rate of customers entering the store in 1 minute is 2.5 customers per minute.

Know more about ratios here:

https://brainly.com/question/2328454

#SPJ9

Two equal expressions combine to make an equation, where c=1.25p.

When two equal expressions are combined with the aid of the equal sign "=," an equation is created!

Considering that the farm stand charges $3.75 for 3-lb bags of oranges. As a result, the price of a pound of oranges is

A pound of oranges costs $3.75/3.

= $1.25

If the price, then, is, for p pounds of oranges,

Cost, c = Oranges' price per pound times the quantity of pounds

= $1.25 x p

c = 1.25p

Therefore, the cost pounds of oranges c-1.25p.

Visit this link to learn more about Equation: brainly.com/question/14686792

#SPJ9