Answer:
<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Eastbound train speed = x
Westbound train speed = x + 3 miles per hour (The speed of the westbound train is 3mph greater than the speed of the eastbound train)
Duration of trip = 3 hours
Distance between trains after 3 hours = 468 miles
2. Let's find the speed of each train, using the following equation:
3x + 3(x + 3) = 468
3x + 3x + 9 = 468
6x + 9 = 468
6x = 468 - 9 (Subtracting 9 at both sides)
6x = 459
x = 459/6 (Dividing by 6 at both sides)
x = 76.5 miles per hour
<u>The Eastbound train speed is 76.5 miles per hour and the Westbound train speed is 79.5 miles per hour.</u>
3. Proof that x = 76.5 is correct
3x + 3(x + 3) = 468
3 (76.5) + 3 (76.5 + 3) = 468
229.5 + 238.5 = 468
<u>468 = 468</u>
<u>The value of x = 76. 5 is correct. And now we know that the Eastbound train has traveled 229.5 miles since the departure from Cleveland and the Westbound train 238.5 miles.</u>
Jack invested 57
Sam invested 38
57 over 38 minus 1,00
Answer:
It'll take 6.97 minutes to have only 1 package remaining.
Step-by-step explanation:
This problem can be interpreted as a compounded interest problem, where the initial amount is 172 packages the interest is 52% and the final amount is 1 package. The formula for compounded interest is:
M = C*(1 - r)^(t)
Where M is the final amount, C is the initial amount, r is the interest rate and t is time elapsed. So we have:
1 = 172*(1 - 0.52)^(t)
1 = 172*(0.48)^t
1/172 = 0.48^t
0.48^t = 0.006
log(0.48^t) = log(0.006)
t*log(0.48) = log(0.006)
-0.734*t = -5.116
t = 6.97
It'll take 6.97 minutes to have only 1 package remaining.
Answer:
Plot The Points at (1,10)
Step-by-step explanation:
Answer:
c=56.3
Step-by-step explanation:
Sorry for the bad writing and diagram haha