Answer: 120 students
Explanation:
Let x be the number of scopes
Let a be the number of student at school
1x = 5 students
But 5x = a
1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.
=> (x + 6) = 4 students
=> 4(x + 6) = a
Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24
So, there are 24 scopes.
Plug x in both equation and compare:
5x = a
5(24) = a
120 = a
4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a
Therefore, the students at the school are 120
Step-by-step explanation:
note A- b = A n B
so, ( A n B ) = ( 3, 4 )
( A n B )' = ( 0,1,2,5,6,7)
(3a) - (8a) = -5a
2b + b = 3b
-5a + 3b
Think of it backwards. To get the total measure of the interior angles of a polygon, you divide the polygon into triangles, where a base of each triangle makes up a side of the polygon, and every triangle shares a vertex towards the center of the polygon. We know that the sum of the interior angles in triangles is 180 degrees. Two of the 3 interior angles of each triangle make up the interior angles of the entire polygon. If you add up the third angle of each triangle, you will get 360 degrees. So, the sum of the interior angles of a polygon is equal to the number of sides the polygon has times 180 degrees minus 360 degrees. Written as an expression, you get:
180n-360, where n is the number of sides a polygon has.
Set this equal to 5400 to get the answer:
5400=180n-360
180n=5760
n=32
So the polygon has 32 sides.
Answer:
236 employees will be expected to go on two vacations
Step-by-step explanation:
kindly see the attached file for more explanation
