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olganol [36]
3 years ago
15

In how many ways you can put 20 books on 50 shelves so that there is not more than one book on a shelf?

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

The other answer I saw is the same way that I used to explain in my class as well. But, there's an alternative way to reach the answer as well

First thing that we should know is that if there are 'n' units kept in a row, then there are 'n+1' gaps generated by them. So, what we should understand is that when there is no item there is 1 gap, when there is one item there are 2 gaps, and so on.

Let us use that concept here, with a small variation: the 5 shelves are 5 initial gaps. The first book has 5 choices (5 initial gaps) to go to. Once we have placed this book, there are now 6 gaps on which the 2nd book can be placed. After the 2nd book is placed, there are 7 gaps in which 3rd book can be placed, and so on.

So, the total arrangements will be = 5*6*7*...24 [as there are 20 books] = 24P20

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Find the perimeter of this shape<br>​
Margaret [11]
The answer is 257.08m. Explanation: you know that one side of the square in the middle is 50m. This is the same as the diameter of one of the half circles on each side. The perimeter of a circle is the formula C=2(pi)r, where r is the radius. Dividing 50 by two will get you the size of the radius, then just plug it into the equation to find the perimeter of both rounded sides (a full circle). The two circular sides equal 157.08m, so then you just need to add the flat sides, which are both 50m since they’re congruent. 157.08m + 50m + 50m = 257.08m, so the perimeter of the shape is 257.08m.
4 0
4 years ago
Start at 5 3/4 subtract 3/8
Lady_Fox [76]
You change the fraction so that they will have the same denominator. This makes it 5 6/8 minus 3/8. The answer is 5 3/8
4 0
3 years ago
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When finding the area of a quadrilateral, what operation would I use and why?
lilavasa [31]

Use the formula width x height = area. If the width is 4 inches and the height is 2 inches, the area equals 8 inches squared.

3 0
3 years ago
Solve:
Natalija [7]
Answer: It took 18 Months for Michelle to collect 59 dolls.


Explanation:
First, let’s right an equation for this. Michelle started with 5 dolls in a bar collection (I have no clue what that is but i’ll roll with it), and each month she bought 3 more, so 5 dolls plus the 3 dolls per month equals 59 at some point.

5 dolls + 3 dolls per month = 59 dolls
OR
5 + 3m = 59

The point of this question is to find how many months (m) it took in order to get to 59 dolls and there’s multiple ways you can do this:

1) just plug in random numbers into m to see how long it takes to get to 59 [this option might take a while]

2) Try to isolate m (get every number out of the equation) to find out the value of m. [I’m most familiar with this way]

First, subtract 5 from 5 in the equation in order to get rid of it, since we’re trying to get all whole numbers out of the equation and only have m left. You subtract 5 from 59 since the equal sign is kind of like a mirrror, whatever you do to one side you have to do to the other. So, 5-5 is 0, and 59- is 54.

Now you’re left with 3m=54. In order to isolate the m, divide 3 by 3 to get rid of the 3, then divide 54 by 3, which is 18.

In order to check your work, plug 18 into m just to see if it works or not:

5+3m=59 —-> 5+ 3(18)= 59

3 times 18 is 54, plus 5 is 59. So, Mi hells took 18 months to collect her 59 dolls. Hope this helped!
3 0
3 years ago
Javier drove 45 miles, this represents 60% of his entire trip. What is the total number of miles in his trip
faust18 [17]
Ratio and proportion

45mi/60%=x miles/100%
cross multiply
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hope this helps
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4 years ago
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