Answer:
The correct option is C, i.e., .
Explanation:
It is given that the total number of students in cafeteria should be less than 264. The administrators want there to be 13 less rows than the number of desks in each row.
Let the number of desks in each row be d.
Since administrators want there to be 13 less rows than the number of desks in each row. So the number of row is d-13.
In one row the number of desks is d. So in (13-d) rows the number of number of desks is d(d-13).
Since the total number of students in cafeteria should be less than 264. So we get,
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Step-by-step explanation:
Answer:x = 0, y = 3, z = 2
Step-by-step explanation:
The given system of equations is expressed as
x - y + 4z = 5 - - - - - - - - - - - - - -1
4x + z = 2
z = 2 - 4x- - - - - - - - - - - - - -2
x + 5y + z = 17- - - - - - - - - - - - - -3
From equation
Substituting equation 2 into equation 1 and equation 3, it becomes
x - y + 4(2 - 4x) = 5
x - y + 8 - 16x = 5
x - 16x - y = 5 - 8
- 15x - y = - 3 - - - - - - - - - - - - - -4
x + 5y + 2 - 4x = 17
x - 4x + 5y = 17 - 2
- 3x + 5y = 15- - - - - - - - - - - - - -5
We would eliminate y by multiplying equation 4 by 5 and equation 5 by 1. It becomes
- 1
- 75x - 5y = - 15
- 3x + 5y = 15
Adding both equations, it becomes
- 78x = 0
x = 0
Substituting x = 0 into equation 2, it becomes
z = 2 - 4 × 0
z = 2
Substituting x = 0 and z = 2 into equation 1, it becomes
0 - y + 4 × 2 = 5
- y + 8 = 5
y = 8 - 5
y = 3
0.25 in a fraction would be 1/4
