Perpendicular lines are lines that intersect and form a right angle ( Four of them).
So the answer is A. Always
a.
The required equation is 23p + 19.50 = 180.50
Let p represent the number of people who can go to the amusement park.
Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.
Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50
Since the total amount equals $180.50. T = 180.50
So, 23p + 19.50 = 180.50
The required equation is 23p + 19.50 = 180.50
b.
Solving 23p + 19.50 = 180.50, we have
23p = 180.50 - 19.50
23p = 161
p = 161/23
p = 7
So, the number of people who can go to the amusement park is 7.
Learn more about linear equations here:
brainly.com/question/24307397
ANSWER
The solution to the system is
![x=5,y=-5](https://tex.z-dn.net/?f=x%3D5%2Cy%3D-5)
EXPLANATION
The system of equations are:
![3x + 2y - 5 = 0 - - (1)](https://tex.z-dn.net/?f=3x%20%2B%202y%20-%205%20%3D%200%20-%20%20-%20%281%29)
and
![x = y + 10 - - (2)](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%2010%20-%20%20-%20%282%29)
We put equation (2) in to equation (1) to get,
![3(y + 10) + 2y - 5 = 0](https://tex.z-dn.net/?f=3%28y%20%2B%2010%29%20%2B%202y%20-%205%20%3D%200)
We expand the parenthesis to obtain,
![3y + 30 + 2y - 5 = 0](https://tex.z-dn.net/?f=3y%20%2B%2030%20%2B%202y%20-%205%20%3D%200)
We group like terms to obtain,
![3y + 2y + 30 - 5 = 0](https://tex.z-dn.net/?f=3y%20%2B%202y%20%2B%2030%20-%205%20%3D%200)
![5y + 25 = 0](https://tex.z-dn.net/?f=5y%20%2B%2025%20%3D%200)
This implies that,
![5y = - 25](https://tex.z-dn.net/?f=5y%20%3D%20%20-%2025)
We divide through by 5 to get
![y = - 5](https://tex.z-dn.net/?f=y%20%3D%20%20-%205)
We substitute the value of y in to equation (1) to get,
![3x + 2( -5 ) - 5 = 0](https://tex.z-dn.net/?f=3x%20%2B%202%28%20-5%20%29%20-%205%20%3D%200%20)
![3x - 10- 5 = 0](https://tex.z-dn.net/?f=3x%20%20-%20%2010-%205%20%3D%200%20)
This implies that
![3x = 15](https://tex.z-dn.net/?f=3x%20%20%20%3D%20%2015%20)
We divide both side by 3 to get,
<span><span>(<span><span>11t</span>+4</span>)</span><span>(<span>11+4</span>)</span></span><span>=<span><span>165t</span>+<span>60
hope this helps!</span></span></span>
Answer:
44 minutes
Step-by-step explanation:
i think
sorry if wrong