Answer: The length and width are 50 and 30 meters (or 30 and 50 meters).
Step-by-step explanation:
To solve this question, we can represent variables for the length and width in two equations.
To solve for one of the variables, you'll have to substitute one of the variables, so solve for one of them:
Now, we have a standard quadratic equation that we can factor. When factoring, you'll get this:
This tells us that the width could be either 50 or 30.
Substitute 50 into one of the equations to find the length:
2 (l) + 100 = 160
l = 30.
The length and width are 50 and 30 meters (or 30 and 50 meters).
<span>There are 56 possible combinations when drawing two chips. Remember that you cannot draw two of the same chips from the bag, so 11, 22, 33, 44, 55, 66, 77, and 88 are not possible. Therefore, 20 of 56 combinations are divisible by 3, or approximately 36 percent.
12,13,14,15,16,17,18
21,23,24,25,26,27,28
31,32,34,35,36,37,38
41,42,43,45,46,47,48
51,52,53,54,56,57,58
61,62,63,64,65,67,68
71,72,73,74,75,76,78
81,82,83,84,85,86,87</span>
<h3>
Answer: 29,030,400</h3>
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Explanation:
Let's say the mother will temporarily take the place of all the sisters. Wherever the mother sits will represent the block of girls.
Taking out the 6 sisters and replacing them with the mother leads to 7+1 = 8 people in a line.
There are 8! = 8*7*6*5*4*3*2*1 = 40,320 different ways to arrange 8 people.
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Again, the mother's position is where the sisters block will go. So let's say the mother was in seat #2. This would mean one brother would take seat #1, and all of the sisters would take the next six seats, until we reach seat #7 is when another brother would take the next seat.
Within any given permutation (the 40320 mentioned), there are 6! = 6*5*4*3*2*1 = 720 different ways to arrange just the girls in that girls block/group.
All together, there are 40320*720 = 29,030,400 different ways to arrange the 13 siblings where all the girls are seated together.
