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borishaifa [10]
3 years ago
9

To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

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.

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So here the denominator is 5 and the numerator is 3. If you double 3, you get 6 and to make the fraction equal to 1, you have to make the denominator 6. So we do 6-5 which is 1

6 0
3 years ago
How do you find the equation of the axis of symmetry on a quadratic graph
andrew-mc [135]

It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry.


5 0
3 years ago
At a certain pizza parlor, % of the customers order a pizza containing onions, % of the customer's order a pizza containing saus
wel

Answer:

At a certain pizza parlor,36 % of the customers order a pizza containing onions,35 % of the customers order a pizza containing sausage, and 66% order a pizza containing onions or sausage (or both). Find the probability that a customer chosen at random will order a pizza containing both onions and sausage.

Step-by-step explanation:

Hello!

You have the following possible pizza orders:

Onion ⇒ P(on)= 0.36

Sausage ⇒ P(sa)= 0.35

Onions and Sausages ⇒ P(on∪sa)= 0.66

The events "onion" and "sausage" are not mutually exclusive, since you can order a pizza with both toppings.

If two events are not mutually exclusive, you know that:

P(A∪B)= P(A)+P(B)-P(A∩B)

Using the given information you can use that property to calculate the probability of a customer ordering a pizza with onions and sausage:

P(on∪sa)= P(on)+P(sa)-P(on∩sa)

P(on∪sa)+P(on∩sa)= P(on)+P(sa)

P(on∩sa)= P(on)+P(sa)-P(on∪sa)

P(on∩sa)= 0.36+0.35-0.66= 0.05

I hope it helps!

5 0
3 years ago
8 is 1 tenth of what number
Elenna [48]

Answer:

80

Step-by-step explanation:

You can figure this out by creating an equation:

1/10 x=8        (This shows that 8 is 1/10 of number x)

x=80            (Solve the equation by multiplying by ten)  

4 0
3 years ago
Read 2 more answers
Help in math plzzddddddddddddddddd
melomori [17]

Answer:

first one: 3 1/3 = 7/3 second: 2 3/4 = 11/4

third one: 3 1/3 + 2 3/4 = 10/3 + 11/4 = 40/12 + 44/12

there fore the answer is: 84/12 or 7

this may help you the first one question only.

3 0
2 years ago
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