To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.

a) How many days will it take the 5 people to complete the task?

b)Comment on how the assumption affects your answer to part (a).​​

Answers

Answer 1

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.


Related Questions

Evaluate 0.5m + 1.2m when m = 4

Answers

Plug in 4 for m.
So, 0.5(4)+1.2(4)
2+4.8
= 6.8.

Answer:6.8.

Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.

Convert the following equation to Slope-Intercept Form
HINT: Slope-Intercept Form is y = mx + b
y-8= 3(x + 5)

Answers

Answer:

y = 3x + 23

Step-by-step explanation:

Given the equation :

y - 8 = 3(x + 5)

We are to convert the equation to slope - intercept form:

Recall: general form of a slope - intercept model:

y = mx + c

Hence,

y - 8 = 3x + 15

y = 3x + 15 + 8

y = 3x + 23

Comparing :

y = mx + c

y = 3x + 23

Use what you know about end behavior to match each function in standard form with its graph below.

Answers

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

Answer:

2=C

3=A

4=D

5=B

Step-by-step explanation:

The total cost of the raffle tickets is proportional to the number of tickets bought. Sam can buy 5 raffle tickets for $4. What is the cost per ticket?

Answers

Answer:

.8

Step-by-step explanation:

4/5=.8

What’s the GCF OF 48 and 30??

Answers

Answer:

GCF OF 49 AND 30 IS 6

Step-by-step explanation:

greatest common factor

helppp ill mark u as brain list​

Answers

Answer:

It is hard to see the picture, but I think it is 6.

Step-by-step explanation:

1 kilogram =2.2
1 stone=14 pound
change 42 kilogram into stones

Answers

Answer:

6.6 stones

Step-by-step explanation:

1kg=2.2 pounds=>42kg=2.2*42poumds=92.4pounds

1stone=14pounds=>92.4pounds=92.4÷14stones=6.6stones

What’s the answer to m/3-2m/5=1/5

Answers

Answer:

m = - 3

Step-by-step explanation:

[tex]\frac{m}{3} - \frac{2m}{5} = \frac{1}{5}[/tex]

It is much easier to work with whole numbers, compared to fractions, hence one should remove the denominator of the fraction. This can be done by multiplying by the LCM (least common multiple). In this case, it is fairly obvious that the LCM of 3 and 5 is 15. Therefore multiply the entire equation by 15.

[tex]15*\frac{m}{3} - 15*\frac{2m}{5}=15*\frac{1}{5}[/tex]

Simplify

[tex]5m-6m=3[/tex]

[tex]-m=3\\m=-3[/tex]

The functions g and h are such that g(x)=2x+5 and h(x)=ax+b

Answers

the answer is : a=9 and b=-1

bc + 5a = help pls!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is -72-41

Step-by-step explanation:

Solve this system
5x – 4y + 2z = 21
-x - 5y + 6z=-24
--x – 4y + 5z =-21
O x = 5, y = -1, z = -4
0 x = 1, y = 5, z = -4
O x=-5, y = 1, z = -4
O x = -4, y = -1, z = 5

Answers

Answer:

Its the first option

Step-by-step explanation:

A donut shop has fixed costs of $32 per V day, and $2 per muffin sold. This formula can be represented by y = 2x + 32 , where x is the number of muffins sold, and y is the cost per day. Write this relationship in functional notation, as a function C(m) , where C(m) represents the cost for m muffins sold. Select the ordered pair that would represent this function C, given m. (32, (2)) 32 (m, 2m + 32) (2m + 32, m) (c(m), m)

Answers

I think it’s 57 I’m not sure

Piper opened a savings account with $1400 that pays no interest. She deposits an
additional $50 each week thereafter. How much money would Piper have in the
account 47 weeks after opening the account?

Answers

Answer:  Piper will have $3750  

Step-by-step explanation:

In this situation we will represent the total amount she have in the bank by y and the number of weeks by x

The whole situation can be represented by the the equation

  y = 1400 + 50x  where y is the total amount , 1400 is the initial amount Piper deposited , 50 is of course the amount Piper will deposit each week , and x is the number of weeks.

Now since they are looking for the amount Piper will have in his account, you have to input 47 for x and solve for y.

y = 1400 + 50(47)

y = 1400 + 2350

y = 3750

What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1)?

Answers

Answer:

y=4/5x+-11/5

Step-by-step explanation:

might no be but im sleepy so

Answer:

y=4/5x−11/5

Step-by-step explanation:

Just took the test

I don't know if it's supposed to do with (n-2)180
Also please explain :D

Answers

Step-by-step explanation:

[tex] sum \: of \: interior \\ \: angels \: is  \: 2340 \:  degrees. \\

(n−2)⋅180=2340 \\

180n - 360=2340 \\ 180n = 2700 \\

n=15 \\

 

number \: of \: sides=15[/tex]

the polygon is 15 sided.

pls help I cant figure it out i give 10 points for both​

Answers

Answer: the top question  is 5 and the bottom question is 6

Step-by-step explanation: you do 4 times what equals 48 then u divide that by 60

do you know what is 25 x 100

Answers

Answer:

2500

Step-by-step explanation:

20x100=2000

5x100=500

2000+500=2500

:)

Each bag of skin contains 2.6 ft.³ of sand, how many bags of sand will need to be purchased to completely fill the sandbox?

Answers

Answer:skin?

Step-by-step explanation:

Need help with number 7 plzzz and just zoom in if u can’t see and I’ll love u forever

Answers

Answer:

Good luck

Step-by-step explanation:

So far, Phillip has completed 3/4 of his run. If he has run 9 miles, how far does he plan to run

Answers

Answer:

He has to run a total of 12 miles and has 3 more miles to run

Step-by-step explanation:

Well we know that 3/4 is 9 out of the total miles he is willing to run. We can divide 9 by 3 to get 1

Now we know 1/4 of his run is 3 miles

3*4= 12

He has to run a total of 12 miles and has 3 more miles to run

Answer:

He plans to run 12 miles

Step-by-step explanation:

He plans to run 12 miles because if he ran 9 miles so far and that is 3/4 of his way then you would do 3 divided by 9 to get 3.  Then you would add a 3 to nine because that 3 would be the last quarter t complete his run.

What is Becca’s speed in miles per hour?

Answers

Answer:

1.5 OR 1 1/2

Step-by-step explanation:

Convert the fractions into decimals.

9/10 = 0.9

3/5 = 6/10 = 0.6

Divide the decimals.

0.9/0.6 = 1.5

Convert back to fraction.

1.5 = 1 1/2

PLEASE HELP MEEE

I don’t under this at all
I don’t need to show my work but I just need the answer or help

Answers

Answer:i think 1

Step-by-step explanation:

Answer:

2x+4=5

Step-by-step explanation:

there are two positive x boxes do 2x 4 positive boxes so +4 and 5 positive boxes.

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

What is the x-coordinate of point B? Write a decimal coordinate.

Answers

Answer:

-1.5

Step-by-step explanation:

Hope this helps! :D

Still dont know... fff

i need help anyone know

Answers

Answer:

yes ur correct its nonlinear lol

Step-by-step explanation:

Solve for x. y +X=b Help!

Answers

9514 1404 393

Answer:

  x = b - y

Step-by-step explanation:

To get x by itself, subtract y from both sides.

  y + x = b . . . . . . . . . given

  y - y + x = b - y . . . . subtract y

  x = b - y . . . . . . . . . simplify

What do I put as the answer ?

Answers

Answer:

33

Step-by-step explanation:

a right angle is 90 degress since the other side is 57 than ac must be 33

SOH CAH TOA

For this question, u are going to use
TOA

Tan57=x/9
Tan(57)(9)
X=4.36

On the playground, 1/4 of the students are on the jungle gym, and 1/3 f the students are playing kickball. What part of all the students on the playground is on the jungle gym or playing kickball?

Answers

Answer:

7/12 of the students

Step-by-step explanation:

So first you would need to get your fractions to have the same denominator. When your trying to get your fractions to get the same denominato. You must multiply both the numerator and denominator.

The most common denominator from 1/4 and 1/3 is 12. So you multiply both the numerator and denominator of 1/4 by 3. So then your new fraction is 3/12. Now you multiply 1/3, both numerator and your denominator by 4. Then your new fraction is 4/12. So The last step is to add both of your numerators. Never add the denominators together. And at last you have your answer. 7/12.

(Hope this helps! Brainliest?)

Please hurry!!! Urgent!!!

Answers

Answer:

x=9

Step-by-step explanation:

-1+14x=12x+17

2x=18

x=9

Answer: x=9

Step-by-step explanation:

so the equation on top -1+14x= 125

and 12x+17= 125

Water along the Mississippi River is rising at a rate of 24.8 cm/hr. The top of a dock in the river currently sits only 1.2 meters above the water. How many hours will it take the water to reach the top of the dock

Answers

Answer:

4.84*10^-4hours

Step-by-step explanation:

Speed = Distance/Time

Time = Distance/Speed

Given

Distance = 1.2m = 0.012cm

Speed = 24.8cm/hr

Get the time;

Time = 0.012/24.8

Time = 4.84*10^-4hours

Hence it will take the water 4.84*10^-4hours to reach the top of the dock

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