Answer:
the rate of each train is 139 km/h and 159 km/h.
Step-by-step explanation:
let
v = the rate of the slower train
v + 20 = the rate of the faster train
d = 1490 km the distance that the two train will travel
t = 5 hr the time of the travel
since speed = distance/time => distance = speed*time
v*t + (v+20)t = d
5v + 5(v + 20) = 1490
5v+5(v+20)=1490
Step 1: Simplify both sides of the equation.
5v+5(v+20)=1490
5v+(5)(v)+(5)(20)=1490(Distribute)
5v+5v+100=1490
(5v+5v)+(100)=1490(Combine Like Terms)
10v+100=1490
10v+100=1490
Step 2: Subtract 100 from both sides.
10v+100−100=1490−100
10v=1390
Step 3: Divide both sides by 10.
10v/10 = 1390/10
v = 139km/h
Next
we add 139 to 20
139 + 20 = 159 km/h
the rate of each train is 139 km/h and 159 km/h.
Answer:
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Cardi B
Step-by-step explanation:
It is decreasing in the time interval 0 < x < 2 hours.
Answer:
The amount <u>$20.00</u> is the overdraft fee.
Step-by-step explanation:
Given:
Katie's bank statement shows a closing balance = $178.11.
Her checkbook shows a balance = $198.11.
Now, to get what might account for the different balances?
Closing balance of Katie's bank statement = $178.11
Balance of her checkbook shows = $198.11.
As, there are no outstanding checks or deposits.
So, to get the difference of amount:


Thus, $20.00 is the overdraft amount.
Therefore, the amount $20.00 is the overdraft fee.
Answer:
The length for the first one is 97 degrees