Answer:
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Step-by-step explanation:
7/k - 2 = 5/8
7/k = 5/8 + 2
7/k = 2.625
7 = 2.625k
7/2.625 = 2.625k/2.625
2(2/3) = k
k = 2(2/3)
Answer:
(2, 7, 1)
Step-by-step explanation:
We have three equations, and using Gauss-Jordan Elimination, we can solve for x, y, and z
3x + y - 2z = 11
4x - 2y + z = -5
x + 5y - 4z = 33
We can start by taking out the z from all rows except one. To do this, we can work with the second row. I chose the second row because -5 is small and easy to add up with other numbers, and z has no coefficient in this row.
We can add 2 times the second row to the first row and 4 times the second row to the third row to get
11x - 3y = 1
4x - 2y + z = -5
17x -3y = 13
We then have the first and third rows having two variables. Since the y coefficients are the same, we can eliminate the y by adding the negative of the first row to the third row. Our result is then
11x - 3y = 1
4x - 2y + z = -5
6x = 12
From the third row, we can gather that x= 2. We can then plug that into the first row to get
22 -3y = 1
subtract 22 from both sides
-3y = -21
divide both sides by -3
y = 7
We can then plug our x and y values into the second row to get
4(2) - 2(7) + z = -5
8 - 14 + z = -5
-6 + z = -5
add 6 to both sides
z = 1
Our answer is thus (2, 7, 1)
The number of students that will need to buy the tickets is 419.
<h3>How many students will need to buy tickets?</h3>
The equation that can be formed from the information provided in the question is:
$20s < $1250 + $625 + $1470 + $12s
Where s represents the number of students
$20s < $3345 + $12s
$20 - $12s < $3345
$8s < $3345
s < $3345 / $8
s < 419
To learn more about inequality, please check: brainly.com/question/5031619
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