Using division, the thickness of each sheet of paper is 0.005 inches
To find the thickness of each sheet of paper, divide the total thickness of the telephone book by the number of sheets used.
Thickness of each sheet of paper = Total thickness / Number of sheets
Thickness of each sheet of paper = 2.6 inches / 565 sheets ≈ 0.004602 inches
Rounded to the nearest thousandth of an inch, the thickness of each sheet of paper is approximately 0.005 inches.
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Answer:
To solve the system of equations using Gauss-Jordan elimination, we can write the augmented matrix and perform row operations to transform it into row echelon form.
The given system of equations:
2x + 3y = 9
4x + 6y = 7
Writing the augmented matrix:
[ 2 3 | 9 ]
[ 4 6 | 7 ]
Performing row operations:
1. Row 1 / 2 â Row 1:
[ 1 3/2 | 9/2 ]
[ 4 6 | 7 ]
2. Row 2 - 4 * Row 1 â Row 2:
[ 1 3/2 | 9/2 ]
[ 0 0 | -17 ]
3. Row 1 - (3/2) * Row 2 â Row 1:
[ 1 3/2 | 43/2 ]
[ 0 0 | -17 ]
4. Row 1 * 2/3 â Row 1:
[ 2/3 1 | 43/3 ]
[ 0 0 | -17 ]
5. Swap Row 1 and Row 2 for better readability:
[ 0 0 | -17 ]
[ 2/3 1 | 43/3 ]
6. Row 2 - (2/3) * Row 1 â Row 2:
[ 0 0 | -17 ]
[ 2/3 1 | 43/3 ]
7. (3/2) * Row 2 â Row 2:
[ 0 0 | -17 ]
[ 1 3/2 | 43/2 ]
8. Divide Row 2 by 3/2:
[ 0 0 | -17 ]
[ 1 1 | 43 ]
The augmented matrix is now in row echelon form. We can solve for the variables:
From Row 2, we have:
x + y = 43
Substituting this into Row 1 (or one of the original equations), we have:
0 = -17
This is contradictory, indicating the system has no solution. Thus, the system of equations is inconsistent and has no solution.
fundraiser. These were truly a hot item in our school, and $240 was
raised. Cecily had originally suggested a price that was $2 lower
for each item, but if the team had agreed to that price they would have
had to sell 20 more pocket protectors to get the $240.
How many pocket protectors did they actually sell? What was the price of
each?
Answer:
40
Step-by-step explanation:
Answer:A
Step-by-step explanation: