Answer:an expression to describe the total cost of a party is written as
y = 13.50p + 50
Step-by-step explanation:
The cost of renting the party room at a restaurant is $50.00. Snacks cost $13.50 per person. Assuming the total number of persons invited for the party is p, and the total cost of renting the party room is y. Therefore an expression to describe the total cost of a party is written as
y = 13.50p + 50
The $50 always remains constant
Expand the equation.
Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
Combine like terms.
Solve the equation and simplify, if needed.
Take the GCF (-8t) of the given expression.
You'll get -8t(2t-5).
Now, set each equal to zero and solve for x.
-8t = 0 2t-5=0
t=0 t = 5/2 (Or 2.5 seconds)
5 and 3/4 hours past 11:32 is 5:17 AM.
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 
Add 7 on both sides, we get
Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get
Multiply by 
on both sides, we get
Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,
Therefore Line 1 and Line 4 are parallel lines.
