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Mrac [35]
3 years ago
7

if a normal secretary can type 80 words per minute, how many hours would it take 3 secretaries to type 36,000 words

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Okay to answer this question we are assuming ONE major thing, that ALL 3 secretaries are considered "normal secretaries", and that they ALL type 80 words per minute...  Now after assuming that, here is some stuff we know...

Each Secretary types 80 words per minute...

We need to find how long it would take them to type 36,000 words...

By knowing this information, we can now proceed to the problem at hand...


80 * 3 = 240 words written <em>(</em><em>on average</em><em>)</em><em> </em>per minute

36,000 / 240 = 150 minutes to write 36,000 words

150 / 60 = 2.5 hours to write 36,000 words

2.5 hours <em>Converts to:</em> 2 hours and 30 minutes


So...

The answer is, It would take 3 secretaries, 2 hours and 30 minutes to write 36,000 words

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Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose
Norma-Jean [14]

Answer:

\frac{dh}{dt}=\frac{160}{169\pi }  ft/min

Step-by-step explanation:

This is a classic related rates problem.  Gotta love calculus!

Start out with the formula for the volume of a cone, which is

V=\frac{1}{3}\pi r^2h

and with what we know, which is \frac{dV}{dt}=40

and the fact that the diameter = height (we will come back to that in a bit).

We need to find \frac{dh}{dt} when h = 13

The thing we need to notice now is that there is no information given to us that involves the radius.  It does, however, give us a height.  We need to replace the r with something in terms of h.  Let's work on that first.

We know that d = h.  Because d = 2r, we can say that 2r = h, and solving for r gives us that r=\frac{h}{2}.

Now we can rewrite the formula with that replacement:

V=\frac{1}{3}\pi  (\frac{h}{2})^2h

Simplify that all the way down to

V=\frac{1}{12}\pi  h^3

The derivative of that function with respect to time is

\frac{dV}{dt}=\frac{1}{12}\pi(3h^2)\frac{dh}{dt}

Filling in what we have gives us this:

40=\frac{1}{12}\pi (3)(13)^2\frac{dh}{dt}

Solve that for the rate of change of the height:

\frac{dh}{dt}=\frac{160}{169\pi } \frac{ft}{min}

or in decimal form:

\frac{dh}{dt}=.95\pi  \frac{ft}{min}

8 0
3 years ago
Pls provide the steps , brainliest to whoever gets it right .
Salsk061 [2.6K]

Times the two radicals together

So it's:

8*sqrt 15*5        (find common numbers between 5 and 15 which is 5)

8*sqrt(5^2*3)

8*5 sqrt3

40 sqrt 3

Hope this helped :)

4 0
2 years ago
It takes 10 minutes to fill a 60-gallon bathing pool. What is the average rate in gallons per hour
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The answer is 144 cm. 24*6 equals 144, so that would be the answer
5 0
3 years ago
Someone help me with this math
Makovka662 [10]

dont know wish i could help you :(  sorry i hate when i can't answer a question it makes me feel bad

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