Answer:
Not sure of the rest but hope this helps
5 over y plus 5. you combine the fractions by finding the common denominator
Answer:
yes
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x - 4 ← is in slope- intercept form
with slope m = - 1
5x - 5y = 20 ( subtract 5x from both sides )
- 5y = - 5x + 20 ( divide all terms by - 5 )
y = x - 4 ← in slope- intercept form
with slope m = 1
Thus product of their slopes is - 1 × 1 = - 1
Therefore the lines are perpendicular
Answer:
The number of service calls made = 55
Step-by-step explanation:
Let the total number of installations made by the company = x
Let the total number of service calls = y
Total number of invoices for the month = 69
=> ![\[x+y=69\]](https://tex.z-dn.net/?f=%5C%5Bx%2By%3D69%5C%5D)
-------------------(1)
Total amount of the invoices = $6975
=> ![\[400x+25y=6975\]](https://tex.z-dn.net/?f=%5C%5B400x%2B25y%3D6975%5C%5D)
-----------(2)
From (1), ![\[y=69-x\]](https://tex.z-dn.net/?f=%5C%5By%3D69-x%5C%5D)
Substituting in (2):
=> ![\[400x+25*(69-x)=6975\]](https://tex.z-dn.net/?f=%5C%5B400x%2B25%2A%2869-x%29%3D6975%5C%5D)
=> ![\[400x+1725-25x=6975\]](https://tex.z-dn.net/?f=%5C%5B400x%2B1725-25x%3D6975%5C%5D)
=> ![\[375x=5250\]](https://tex.z-dn.net/?f=%5C%5B375x%3D5250%5C%5D)
=> ![\[x=14\]](https://tex.z-dn.net/?f=%5C%5Bx%3D14%5C%5D)
=> ![\[y=55\]](https://tex.z-dn.net/?f=%5C%5By%3D55%5C%5D)
The price of the movie itself is $19.99.
19.99 x 6% = 1.1994
19.99 + 1.1994 = 21.1894
Answer: $21.19
