The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
<h3>What is linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have two equation of the line:
y = -x -3 and
5y + 5x = -15
From the equation 5y + 5x = -15:
Divide by 5 on the above equation:
y + x = -3
or
y = -x -3
The two equations y = -x -3 represents the same line.
Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.
Learn more about the linear equation here:
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Answer:
Quotient = 3
Step-by-step explanation:
We need to solve the given expression :
![\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B12%7D%7Bx-4%7D%7D%7B%5Cdfrac%7B4%7D%7Bx-4%7D%7D)
It can be done as follows :
As, ![\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7Ba%7D%7Bb%7D%7D%7B%5Cdfrac%7Bc%7D%7Bd%7D%7D%3D%5Cdfrac%7Ba%7D%7Bb%7D%5Ctimes%20%5Cdfrac%7Bd%7D%7Bc%7D)
So,
![\dfrac{\dfrac{12}{x-4}}{\dfrac{4}{x-4}}=\dfrac{12}{x-4}\times \dfrac{x-4}{4}\\\\=\dfrac{12}{4}\\\\=3](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cdfrac%7B12%7D%7Bx-4%7D%7D%7B%5Cdfrac%7B4%7D%7Bx-4%7D%7D%3D%5Cdfrac%7B12%7D%7Bx-4%7D%5Ctimes%20%5Cdfrac%7Bx-4%7D%7B4%7D%5C%5C%5C%5C%3D%5Cdfrac%7B12%7D%7B4%7D%5C%5C%5C%5C%3D3)
Hence, the required quotient is 3.
Answer:
168 adult tickets
Step-by-step explanation:
3.75(82) (82 students)
307.5
2071.5 - 307.5 ( you subtract since you only need to know the number of adults)
1764
1764/10.5 (you divide since each adult is 10.5$)
168
A different way to do this is doing adding
1.) 3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3
Another way is reducing
12/4 = 3
I hope this helps