The value a = 4 will always yield a correct answer.
We know this by solving for a. If we do this, we will get the number needed.
a(x + 3) < 5x + 15 - x -----> simplify like terms
a(x + 3) < 4x + 15 -----> divide by x + 3
a < 4 + 3/(x + 3)
Since a is less than 4 plus a number, we know that a will always be less than 4. So we can use 4 as the number for all real solution.
<h2>
Answer:</h2><h2>The angle of depression from the hiker to his car,
Θ = 56.39 degrees</h2>
Step-by-step explanation:
A hiker at the top of a mountain spots his car back in the parking lot at the
bottom of the trail. If the trail is 632 meters long and the mountain is 420
meters tall,
opposite side = 632 m
adjacent side = 420 m
Angle of depression, Θ = arctan 
= arctan 
Θ = 56.39 degrees
After 45 minutes you will have painted 4*45=180 square feet.
so the total number of painted area, y, is:
y=180+x*(3+4) after the 45 minutes
where x is the number of minutes AFTER THE 45 minutes:
if y is 1000 then
1000=180+x*7
820=x*7
x=117.14
so 117 minutes, or one hour and 57 minutes.
Answer:
141.625
Step-by-step explanation:

4*x+7=12
4*x=5
x=5/4
The number is 5/4