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julia-pushkina [17]
3 years ago
10

The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain projec

t in 24 days. How many workers will be needed to complete the project in 15 days?
Mathematics
1 answer:
Feliz [49]3 years ago
6 0

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.

  (5 workers) × (8/5) = 8 workers

8 workers are needed to complete the project in 15 days.

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A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence paral
denis23 [38]

Answer:

  F = 3x +(2.7×10^7)/x

Step-by-step explanation:

The formulas for area and perimeter of a rectangle can be used to find the desired function.

<h3>Area</h3>

The area of the rectangle will be the product of its dimensions:

  A = LW

Using the given values, we have ...

  13.5×10^6 = xy

Solving for y gives ...

  y = (13.5×10^6)/x

<h3>Perimeter</h3>

The perimeter of the rectangle is the sum of the side lengths:

  P = 2(L+W) = 2(x+y)

<h3>Fence length</h3>

The total amount of fence required is the perimeter plus one more section that is x feet long.

  F = 2(x +y) +x = 3x +2y

Substituting for y, we have a function of x:

  F = 3x +(2.7×10^7)/x

__

<em>Additional comment</em>

The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.

4 0
2 years ago
Express the following in exponential notation: (-4) x ... x (-4) 11 times
Anni [7]

Given:

The expression is:

(-4)\times ...\times (-4) (11\text{ times})

To find:

The exponential notation for the given expression.

Solution:

We know that

a\times a\times ...\times a(n\text{ times})=a^n         ...(i)

We have,

(-4)\times ...\times (-4) (11\text{ times})

Using (i), the given expression can be written as:

(-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}

Therefore, the exponential notation of the given expression is (-4)^{11}.

4 0
3 years ago
What is the range of the function?
AleksAgata [21]
The range of the function on the graph is all real numbers greater than or equal to 2 because the range of a function is what the value of y could be, and y begins at 2 and keeps increasing indefinitely.
Hope this helps!

8 0
4 years ago
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Find the length of the segment indicated. Round your answer to the nearest
Andrew [12]

Answer:

little rusty but I think its b sorry if wrong

Step-by-step explanation:

8 0
3 years ago
A person drives 5,000 miles in 6 months. How many miles will that person drive in 3 years?
Thepotemich [5.8K]

Answer:

30,000

Step-by-step explanation:

5,000 in 6 months therefore 10,000 in one year and 30,000 in 3 years

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3 years ago
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