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Evgen [1.6K]
3 years ago
6

PLEASE HELP ASAP! Several books are placed on the bottom three shelves of a bookcase. When 1 book was taken from the first shelf

, 2 books were taken from the second shelf, 3 books were taken from the third shelf, and all these books were placed on the top fourth shelf, the quantity of books on all the shelves became equal. How many books are in the bookcase?
Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

24 books

Step-by-step explanation:

Initially the top shelf has no books placed on

Then books added to this:

  • 1+2+3= 6

And now all 4 shelves have same amount of books. So total number is:

  • 4*6= 24 books

There are 24 books in the bookcase

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A photocopy machine can print 735 copies in 7 minutes. What is the rate at which the machine prints the copies per minutes
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Answer:

105

Step-by-step explanation:

Divide 735 by 7

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Please help with this question!! I need serious help!!
asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

The area multipled by 16:

16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2

The radius has increased fourfold, therefore:

C'=2\pi(4r)=4(2\pi r)=4C

The circumference is multipled by 4.

You can calculate the area and check the circumference:

r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2

Calculate the radius:

\pi r^2=2152.96\pi             <em>divide both sides by π</em>

r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in

Calculate the circumference of both circles:

r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in

r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in

\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C

5 0
3 years ago
Four friends equally share three candy bars. Which fraction represents how much each friends receives?
elixir [45]
Each friend would receive 3/4
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3 years ago
13 points!!! <br><br> 34ft 4in - 8=
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If feet:
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5 0
3 years ago
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Find the indicated sum of each sequence S8 of -2,-13,-24,-35
valentina_108 [34]

Answer:

The sum of the arithmetic sequence is S_{8}=-324.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant.  In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is a_1 and the common difference is d, then the nth term of the sequence is given by:

                                                  a_{n}=a_{1}+(n-1)d

For the sequence

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The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence.  We find the sum by adding the first, a_1 and last term, a_n, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>

<em>                                                     </em>S_{n}=\frac{n}{2}(a_{1}+a_{n})<em />

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3 0
3 years ago
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