The number of students that are expected to carry a backpack is = 378
<h3>Calculation of total number of students</h3>
The total number of students in the assembly= 648
The number of students that enters the gym =12
The number of students carrying backpack = 7 out of 12
The total number of batches that entered the gym = 648/12 = 54
Therefore, the number of students that are expected to carry a backpack is = 54 ×7 = 378
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The 4 sides of a square are usually the same and the side length of squares 4 and 5 is a+b.
<h3>How to explain the square?</h3>
From the diagram, each side is called the side length. Therefore,
- Side length of square 4 = a + b
- Side length of square 5 = a + b
If the side lengths are equal that is (a + b), then the area which is the square of the side length will also be the same.
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By dividing by 12:
100 in/min (1/12 ft/in) = 100/12 ft/min = 25/3 ft/min
Use proportions:
(7x-4)/31 = (4y+8)/24 = (y+2)/6
Multiply:
6*(7x-4) = 31*(y+2)---> 42x-24 = 31y+62 ---> 11y = 86, y = 86/11
I don;t like that is looks 'ugly', instead of sth like y = 88/11=8. I think 86/11 is the answer. Check the math! :)