Answer:

Step-by-step explanation:





A: l x w = a formula for area
l = w + 48 length
w(w+48) = 3024 substitute l with w+48
w^2 + 48w -3024=0 —solution to part A
B: w^2 + 48w - 3024 = 0 factor
(w-36)(w+84) = 0
Solutions for width = 36,-84
A width can’t be negative, so the width is 36 inches
Answer:
Step-by-step explanation:

Answer: p < 24
Step-by-step explanation: I'm assuming you mean solving for P
1. We want to get p alone and the first step would be to subtract 4 from both side which will give us: ⅔p < 16
2. Next step would to be multiplying by 3 from both sides and doing this will cancel out the 3 in the denominator giving you: 2p < 48
3. Now we have to divide both sides by 2 and we are done which gives us:
<u>p < 24</u>
<u></u>
Don't forget if we were to be dividing by a negative the sign would flip
(for example: -2p < 6 = p > 3) this isn't used in this problem but just a reminder if you see this in future problems
Assuming the railroad network is properly constructed it would allow for the rapid transportation of large quantities of materials and troops all throughout the nation.
In the event of damage, having enough routes allows rail traffic to be rerouted around damaged rail lines. The ability to get to a location via different routes makes it harder for an enemy to cripple the rail network.
If there is only one line and it gets destroyed, all of the traffic comes to a halt.