In a factory, two-thirds of the floor area is taken up by the production line. Out of the remaining floor area, three-fifths is taken up by office space. The rest is warehouse space. The warehouse space 2 occupies 2000 m . Work out the floor area of the production line.

Answers

Answer 1

Answer:

the floor area of the production line =20000 m^2

Step-by-step explanation:

From the question we were told two thirds of the floor of the factory is taken up by the production line.

If we denote the total area of the factory as "y" then

the Area of the production line can be express algebraically as

2/3 × y = 2y/3

The rest of floor area of warehouse space will be

y- 2y/3 = y/3

From the rest of floor area, we were told three fifths is taken up by the office space, then this office space's area can be expressed in m^3 as

3/5 × y/3 = y/5

The remaining space left will now be for

warehouse, by we were given warehouse space omas 2000m^2.

Then from here we can get value of y

2y/15 = 2000

2y = (2000×15)

2y= 30000

y= 15000m^2

Therefore, the floor area of the production line can be expressed as

(2 ×30000)/3

= 20000 m^2

Quit easily done!


Related Questions

[tex]\sqrt{\frac{4e}{3f} }[/tex]

Answers

Answer:

2√e√3√f / 3f

Step-by-step explanation:

√4√e / √3√f

2√e / √3√f  * (√3√f / √3√f)

2√e√3√f / 3f

Simplify the expression in simplest form (3x - 5)x4 +2

Answers

I think it’s 12x-22.

Answer:

12x-8

Step-by-step explanation:

We can use PEMDAS to solve this expression.

P: Parenthesis

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

The first step to do is use the distribute property to simplify the parenthesis.

The second step will be to simplify the exponent, but there aren't any so we can skip that step.

The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.

The fourth step will be to add -20 with 2. We then get -18.

And finally, we have our answer

(3x - 5)x4 +2

12x-20+2

12x-18

FACTOR THIS EXPRESSION AS FAR AS POSSIBLE -385y IM GIVING THANKS AND BRAINLIST IF CORRECT. PLEASE HELP ME GUYS

Answers

Answer:

-385y

Step-by-step explanation:

This expression cannot be factored with rational numbers, so -385y is your answer.

1. Find the greatest common divisor of the term 144x3y2and 81xy4​

Answers

Answer:

[tex]1296x^3y^4[/tex]

Step-by-step explanation:

Given the terms:

[tex]144x^3y^2[/tex]

and [tex]81xy^4[/tex]

To find:

Greatest Common Divisor of the two terms or Least Common Multiple (LCM) of two numbers = ?

Solution:

First of all, let us find the HCF (Highest Common Factor) for both the terms.

i.e. the terms which are common to both.

Let us factorize them.

[tex]144x^3y^2 = \underline{3 \times 3} \times 16\times \underline x \times x^{2}\times \underline{y^{2} }[/tex]

[tex]81xy^4= \underline {3\times 3}\times 9 \times \underline{x} \times \underline{y^2}\times y^2[/tex]

Common terms are underlined.

So, HCF of the terms = [tex]9xy^2[/tex]

Now, we know the property that product of two numbers is equal to the product of the numbers themselves.

HCF [tex]\times[/tex] LCM = [tex]144x^3y^2[/tex] [tex]\times[/tex] [tex]81xy^4[/tex]

[tex]LCM = \dfrac{144x^3y^2 \times 81xy^4}{9xy^2}\\\Rightarrow LCM = 144x^3y^2 \times 9x^{1-1}y^{4-2}\\\Rightarrow LCM = 144x^3y^2 \times 9x^{0}y^{2}\\\Rightarrow LCM = \bold{1296x^3y^4 }[/tex]

A point on an ellipse is 11 unites from one focus and 7 units from another. What is the length of the major axis? Show your work

Answers

Answer:

77

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

x + y = major axis

11 + 7 =  18

which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1) ^2 + (x + 1) | ?

Answers

Answer:

|2x^2+5x+3|

Step-by-step explanation:

Answer: D

f(x) = | 2x2 + x | and g(x) = (x + 1)

Step-by-step explanation:

please this urgent!!​

Answers

Answer:

Step-by-step explanation:

1)First convert mixed fraction to improper fraction and them prime factorize

[tex]6\frac{1}{4} = \frac{25}{4}\\[/tex]

[tex]\sqrt{\frac{25}{4}}= \sqrt{\frac{5*5}{2*2}}= \frac{5}{2} = 2 \frac{1}{2} \\\\[/tex]

2)

[tex](2 \frac{1}{2}- 1 \frac{1}{2})*1 \frac{1}{7}=( \frac{5}{2}- \frac{3}{2})* \frac{8}{7}\\\\\\= \frac{2}{2}* \frac{8}{7}\\\\=1* \frac{8}{7}= \frac{8}{7}\\\\\\=1 \frac{1}{7}[/tex]

3) 0.00706 = 7.06 * [tex]10^{-3}[/tex]

4) 144 = 12 * 12

12 = 6*2

6 = 2*3

Prime factorization of 144 = 2 * 3 * 2 * 2 * 3 *2

                                          = 2⁴ * 3²

5) To find LCM, prime factorize 96 & 144

96 = 2 * 2 * 2 * 2 * 2 * 3 = 2⁵ * 3

144 = 2⁴ * 3²

LCM = 2⁵ * 3² = 32 * 9 = 288

6) HCF

105 = 7 * 5 * 3

135 = 5 * 3* 3 * 3

180 = 5 * 3 * 3 * 2 * 2

HCF = 5 * 3 = 15

7) 24 = 3 * 2 * 2 * 2 = 3 * 2³

   36 = 3 * 3 * 2 * 2 = 3² * 2²

   40 = 5 * 2 * 2 * 2 = 5 * 2³

LCM = 5 * 2³ * 3² = 5 * 8 * 9  = 360

HCF = 2² = 4

Difference = 360 - 4 = 356

8) Multiply each digit of the binary number by the corresponding power of 2, solve the powers and add them all

1111 = 1 *2³ + 1*2² + 1*2¹ + 1*2° = 8 + 4 + 2 + 1 = 15

Ans: 15

9) 36₇ = 102₅

10) 6.9163 = 6.916

I knew only this much

hope it's helpful

:)

Which is the simplified form of r to the negative 7th power plus s to the negative twelve

Answers

Answer:

1/r^7 + 1/s^12

Step-by-step explanation:

Since there is a negative exponent, the term becomes a fraction. As we do not know the value of the term, it remains in its variable form with a positive exponent

The weights of ice cream cartons are normally distributed with a mean weight of ounces and a standard deviation of ounce. ​(a) What is the probability that a randomly selected carton has a weight greater than ​ounces? ​(b) A sample of cartons is randomly selected. What is the probability that their mean weight is greater than ​ounces? ​(a) The probability is nothing. ​(Round to four decimal places as​ needed.) ​(b) The probability is nothing. ​(Round to four decimal places as​ needed.)

Answers

Answer:

The answer is below

Step-by-step explanation:

The weights of ice cream cartons produced by a manufacturer are normally distributed with a mean weight of 10 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 10.21 ounces? (b) You randomly select 25 cartons. What is the probability that their mean weight is greater than 10.21 ounces

Answer:

Given that:

Mean (μ) = 10 ounces, standard deviation (σ) = 0.5 ounces.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score (z) is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

a) For x = 10.21:

[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{10.21-10}{0.5}=0.42[/tex]

From the normal distribution table, probability that a randomly selected carton has a weight greater than 10.21 ounces  = P(x > 10.21) = P(z > 0.42) = 1 - P(z < 0.42) = 1 - 0.6628 = 0.3372

b ) For x = 10.21 and n = 25

[tex]\sqrt{x} \sqrt{x} z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\z=\frac{10.21-10}{0.5/\sqrt{25 } }=2.1[/tex]

From the normal distribution table, probability that a randomly selected carton has a weight greater than 10.21 ounces  = P(x > 10.21) = P(z > 2.1) = 1 - P(z < 2.1) = 1 - 0.9826 = 0.0174

Flight time from Houston to Orlando is 2 hours to 20 minutes. I arrived at Orlando at 4:15 pm. What time did I set of ?

Answers

Answer:

1:55 pm

Step-by-step explanation:

So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston.  So, lets start with the easy part: let's subtract the 2 hrs part.  

2 hrs earlier from 4:15 pm is 2:15 pm.

Then, you have to subtract the 20 minutes.  Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes.  Just subtract the 15 minutes from the 2:15 pm.  However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.  

So, 2:00 pm minus 5 minutes would equal 1:55 pm.

Answer: 1:55 pm

Explanation:

X + 2hr 20min = 4hr 15min
X = 4hr 15min - 2hr 20 min
X = 1hr 55 min

Or X = 1:55 pm

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters. A. 15 m B. 130−−−√ m C. 178−−−√ m D. 13 m

Answers

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

solve for x 13(x-3)=39

Answers

Answer:

x=6

Step-by-step explanation:

13(x-3)=39

Divide each side by 13

13/13(x-3)=39/13

x-3 = 3

Add 3 to each side

x-3+3 = 3+3

x = 6

Answer:

x=6

Step-by-step explanation:

expanding we get

13x-39=39

13x=39+39

13x=78

x=78/13

x=6

A 4-pack of greeting cards costs $7.40. What is the unit price?pls answer fast

Answers

Answer:

The unit price of the problem is that one pack of greeting cards costs $1.85

Step-by-step explanation:

In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.

7.40 ÷ 4 = 1.85

So, one pack of greeting cards costs $1.85 which is also our unit price.

Answer:

1.85

Step-by-step explanation:

First, divided the money ( $7.40 ) by the whole number ( 4 )

Then, you will receive your answer

which inequality is graphed on the coordinate plane?​

Answers

Answer:

a

Step-by-step explanation:

1:cancel out any answers with equal to since the line is dotted

2:pick any two points of your choice and work out the gradient

3:use the gradient a point on the line and an anonymous point (x,y) to get equation of a line

4:then choose a point (0,0) and substitute x with 0 in the equation to get y (in this case it's -1) which is less than 0 hope it helps

The inequality that is graphed on the coordinate plane is y ≤ [tex]x^{2}[/tex].

The graph of this inequality is a parabola that is facing downwards. The parabola opens downwards because the inequality symbol is less than or equal to (≤). The vertex of the parabola is at the point (0, 0).

The parabola intersects the x-axis at the points (-1, 1) and (1, 1). This means that the values of x that satisfy the inequality are all the values that are less than or equal to 1.

The parabola does not touch the x-axis at any other points, so the values of x that do not satisfy the inequality are all the values that are greater than 1.

Here is a graph of the inequality y ≤ [tex]x^{2}[/tex]:

parabola that is facing downwards and intersects the x-axis at (-1, 1) and (1, 1)Opens in a new window

www.teachoo.com

parabola that is facing downwards and intersects the x-axis at (-1, 1) and (1, 1)

The other inequalities that are shown in the answer choices are not graphed correctly. The inequality y ≥ [tex]x^{2}[/tex] is graphed as a parabola that is facing upwards. The inequality y = [tex]x^{2}[/tex] is graphed as a line that is not a parabola. The inequality y > [tex]x^{2}[/tex] is not graphed at all.

Therefore, the only inequality that is graphed correctly is y ≤ [tex]x^{2}[/tex].

Learn more about inequality here: brainly.com/question/20383699

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if the morning temperature started at -7 celsius but warmed during the day to 24 celsius . What is the temperature change

Answers

Answer:

31° change

Step-by-step explanation:

If we want to find the change between two numbers, we need to imagine it like a number line.

<-------------0------------->

Let's plot -7 and 24 on this number line.

<----------[tex]-7[/tex]--0------------24>

If we want to get from -7 to 0, we increase by 7. To get from 0 to 24, we increase by 24.

So the total change is [tex]7 + 24 = 31[/tex].

Hope this helped!

HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)

Answers

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

Answer:

See below.

Step-by-step explanation:

[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]

I WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!! I NEED HELP!!!!!

Answers

Answer:

D. Both functions are increasing but function g increases at a faster average rate

Step-by-step explanation:

Let's get the values of g(x) for each value of x

X= -2

g= -18(1/3)^-2 +2

g =-160

X= -1

g= -18(1/3)^-1 +2

g= -52

X= 0

g= -18(1/3)^0 +2

g= -16

X= 1

g= -18(1/3)^1 +2

g= -4

X= 2

g= -18(1/3)^2 +2

g= 0

Comparing the first and last values of both f and g we can see clearly that function g has a drastic change in it's rate.

For the rational equation,[tex]\frac{x^{2}+5x+6}{x+3}=1[/tex] , what is a valid value of x?

Answers

Answer:

-3 or -1 is a valid value for x

Step-by-step explanation:

We start by cross multiplying;

So the expression becomes;

x^2 + 5x + 6 = 1(x + 3)

x^2 + 5x + 6 = x + 3

x^2 + 5x -x + 6-3 = 0

x^2 + 4x + 3 = 0

x^2 + x + 3x + 3 = 0

x(x + 1) + 3(x + 1) = 0

(x + 3)(x + 1) = 0

x + 3 = 0 or x + 1 = 0

x = -3 or x = -1

Write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.

Answers

Answer:

y=7x-47

Step-by-step explanation:

[tex](8,9)=(x1,y1) \\ m=7 \\ y−y1=m(x−x1) \\ y−9=7(x−8)

[/tex]

[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]

Factor 4 out of 4x + 12.

Answers

Answer:

4(x + 3)

Step-by-step explanation:

So, to solve these questions is pretty simple.

4 times what equals 4x, and 4 times what equals 12?

Well,

4 times x  = 4x, and 4 times 3 = 12.

soo.

4(x + 3)

Answer:

4x+12  factor 4 out of the equation

4(x+3)

19) : -7x=5.6⇒ x=-5.6/-7

x=5.6/7=0.8

x/8- 5/2=5/2 common factor

(x-20)/8 =5/2

2(x-20)=40

2x-40=40

2x=80

x=80/2=40

How would you write The product of 2 and the difference of a number and 9

Answers

Answer:

[tex]\large \boxed{2(x-9)}[/tex]

Step-by-step explanation:

Let the number be x.

The product of 2 and the difference of x and 9.

“product” is multiplication.

“difference” is subtraction.

[tex]2 \times (x-9)[/tex]

The mathematical expression is 2(n - 9) if the product of 2 and the difference of a number and 9.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The product of 2 and the difference of a number and 9.

Let the number is n; n is the real number.

The difference of a number and 9 = n - 9

The linear expression can be defined as the relation between two variables, if we plot the graph of the linear expression we will get a straight line.

If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.

The product of 2 and (n - 9)

= 2(n - 9)

Thus, the mathematical expression is 2(n - 9) if the product of 2 and the difference of a number and 9.

Learn more about the expression here:

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ux=x+y/k, solve for x

Answers

Answer:

x = y/( ku-1)

Step-by-step explanation:

Here in this question, we are asked to solve for x.

we have;

Ux = x+ u/ k

cross multiply;

k * Ux = x + y

kUx = x + y

kUx- x = y

x(KU-1) = y

x = y/( ku-1)

(b-2)x= 8
In the given equation, b is a constant. If the equation
has no solution, what is the value of b ? A) 2
B) 4
C) 6
D) 10

Answers

Answer:

2

Step-by-step explanation:

(2-2)x = 8

(0)x = 8

x = 8/0

no solution

The value of "b" that would result in the equation having no solution is A) 2.

To determine the value of "b" that would result in the given equation having no solution, we need to look at the coefficient of "x" in the equation (b - 2) and the constant term on the other side (8).

The equation is: (b - 2)x = 8

For the equation to have no solution, the coefficient of "x" (b - 2) must be 0. This is because when you multiply any number by 0, the result is always 0, meaning the left-hand side of the equation becomes 0x, which simplifies to 0. However, the right-hand side is 8, and 0 is never equal to 8.

Therefore, to make (b - 2) equal to 0, we can set:

b - 2 = 0

Adding 2 to both sides:

b = 2

So, the value of "b" that would result in the equation having no solution is A) 2.

To know more about equation"

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Please answer answer question

Answers

Answer:

The correct answer is

Step-by-step explanation:

11 square centimeters.

Hope this helps....

Have a nice day!!!!

11 square centimeters

the price of sugar increase from shs 1000 to shs 1200.In what percentage did the price increase​

Answers

Answer:

20%

Step-by-step explanation:

1000×120%=1200

120-100=20


[tex] \frac{5 + n}{4} = - 1[/tex]
What is n?

Answers

Answer:

n=   -9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

5 + n

====   =   -1

4

Multiply both sides by 4

5 + n = - 1 * 4

5 + n = - 4

Subtract 5 from both sides

5-5 + n = - 4 - 5

n = - 9

Congratulations on being able to use latex.

What is the process called?

Answers

Answer:

the distributive property. or distribution

hope this helps! :)

is the square root of 2 between 1.4 and 1,5

Answers

Answer:

The square root is around 1.414, so yes, it is between 1.4 and 1.5.

Step-by-step explanation:

betty's bakery calculates the total price d in dollars for c cupcakes using the equation d=2c. What does 2 mean in this situation?

Answers

The 2 in the equation d=2c means that the price (dollars) is equal to 2 cupcakes

Answer:

2 means dollars per cupcake

Step-by-step explanation:

it makes sense because it says d=2c which is

money = $2 per cupcake

so if their are 2 cupcakes then

d=2*2 = $4

Helpppppppppppppppp plzzz

Answers

Answer:

$0.56, or 56¢.

Step-by-step explanation:

According to the picture, there are two dimes, two nickels, a penny, and a quarter.

A penny is worth $0.01.

A nickel is worth $0.05.

A dime is worth $0.10.

A quarter is worth $0.25.

2(0.1) + 2(0.05) + (0.01) + (0.25) = 0.2 + 0.1 + 0.01 + 0.25 = 0.3 + 0.26 = 0.56.

So, Vivian is using $0.56, or 56¢, to buy a toy. That's a cheap one!

Hope this helps!

The answer is $0.56 or 56cents
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Intentional tort Question 144 ptsWhy did early astronomers incorrectlypresume that the planet we know as Venus wastwo different bodies they called "Phosphorus"and "Hesperus"? Which of the following is correct if you wanted to quote from a book called Night Crawler by Angus Young. The book came out in 2001. Select one: a. "Shes a night crawler." (Young, 2001). b. "Shes a night crawler" (Young, 2001). c. As Young (2001) stated, "Shes a night crawler." d. None of the above This is the ASVAB question If 500 people are at a concert and 70% are adults. How many children are there? Explain why stellar parallax cannot be used to measure the distance to other galaxies. General senses include: Select one: a. pressure, temperature, touch, and pain. b. smell, temperature, pain, and taste. c. touch, pain, sight, and hearing. d. pain, temperature, pressure, and smell. Which is an example of a situation that is in equilibrium? A. The amount of air in a room increases quickly when the door isopened.B. The amount of money in a bank account never changesC. The amount of water in a cup decreases as it evaporatesD. A flower slowly grows taller Mr. Speaker, yesterday, the House of Representatives overwhelmingly passed the USA FREEDOM Act, a bipartisan bill to reform the controversial domestic surveillance programs. The passage of this legislation is the result of strong bipartisan negotiations to strike a balance in order to protect American citizens' rights without dealing a blow to lawful and warranted surveillance efforts. Mr. Speaker, Congress did not intend for any law to authorize the indiscriminate collection of personal information from Americans. The USA FREEDOM Act will help end government overreach, while ensuring intelligence agencies have the tools at their disposal to lawfully pursue suspected terrorists in efforts to protect all Americans. As a member of the bipartisan Congressional Privacy Caucus, I applaud the Judiciary Committee and the Permanent Select Committee on Intelligence for working together to write a bill that strikes a balance to protect our constitutional rights without compromising our national security. Glenn Thompson, U.S. Representative (R) from Pennsylvania, May 14, 2015 Source: Congress.gov Describe an action Congress could take to address the issues outlined in the excerpt. In the context of this excerpt, explain how the use of congressional power described in part A can be affected by its interaction with the president. In the context of this excerpt, explain how the interaction between Congress and the presidency explained in part B can be affected by linkage institutions. Which ppint is the center of the circle?O point wO point XO point YO point z