Answer: They are away for 
from home.
Step-by-step explanation:
Since we have given that
Time to get there = 
Time to get back =
Number of soccer games = 3
Time for each soccer games = 
So, total time for 3 games would be
So, the time for which they will be away from home is given by
Hence, they are away for from home.
Answer: 15 pounds per inches
Step-by-step explanation:
P1V1 = P2V2
12 ppi × 5L = P2 × 4L
P2 = 12 ppi × 5L / 4L
P2 = 12 ppi × 5 / 4 ( L in denominator is cancelled by L in numerator)
P2 = 3 ppi × 5 ( 12 is cancelled by 4 in denominator)
P2 = 15 ppi
Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
<u>First, we need to establish the total cost formula for each plan:</u>
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
<u>Prove:</u>
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
It can fly 106*15 = 1,590 miles in 15 hours.
190-(50+80)t=0
190-130t=0
130t=190
t=19/13 so the trains will remain apart for 19/13 hours.
Since ironman is flying at a constant rate of 150mph he will fly:
150(19/13)≈219.23 miles in that time period while the trains are apart.
