Answer:
\[y < = 300\]
Step-by-step explanation:
Let x = number of out-of-state students at the college
Let y = number of in-state students at the college
As per the given problem, the constraints are as follows:
\[x < = 100\] --------- (1)
\[y = 3 * x\] --------- (2)
From the given equations (2), \[ x = y/3 \]
Substituting in (1):
\[y/3 < = 100\]
Or, \[y < = 300\] which is the constraint representing the incoming students.
Isolate the variable by dividing each side by factors that don't contain the variable.
l = v/wh
w
h
Since the photo booth charges a $500 fee for two hours at the party and an additional 50 dollars per hour, we have:
50x+500=C
Where x is the hours stayed and C is the total cost. Since Cindy doesn't want to spend more than 700 dollars, we have:

So she spent an additional 4 hours on the rental.
There are 360 degrees in a circle
10x+5+140+45+2+11x=360
21x+192=360
21=168
X=8
Eb would be the same as the central angle
80+5=85
Hi!
The guess and check method is where we fill in the values and check to see if it is correct.
A. x = 6
2 · 6 + 8 = 6 · 6 - 12
Solve
12 + 8 = 36 - 12
20 = 24
Incorrect.
B. x = 4
2 · 4 + 8 = 6 · 4 - 12
Solve
8 + 8 = 24 - 12
16 = 12
Incorrect.
C. x = 3
2 · 3 + 8 = 6 · 3 - 12
Solve.
6 + 8 = 18 - 12
14 = 6
Incorrect.
D. x = 5
2 · 5 + 8 = 6 · 5 - 12
Solve.
10 + 8 = 30 - 12
18 = 18
Correct!
The answer is D. x = 5
Hope this helps! :)
-Peredhel