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.
Marks of Bobbie = x
Then, marks of Georgia
= 3 times marks of Bobbie
= 3 times m
= 3 × m
= 3m
First we convert feet into meters, since 1 feet is 0.3048 m: 275 feet * 0.3048 = 83.82m.
Then we do: 83.82m / 3.23s = <span>25.9504644 m/s.
Then we convert that into miles per hour by </span>2.23694, so we do:
25.9504644 * 2.23694 = <span>58.0496318.
Then we round it to 58 mph.
So the answer is: The cheetah was running at 58 mph.
Hope this helped! c:</span>
Answer:
The rate of return is 14%
Step-by-step explanation:
The rate of return can be determined by,
RR = 
x 100%
where:
RR is the rate of return
is the final amount = $690 - $6 = $684
is the initial amount = $15 x 40 = $ 600
So that,
RR = 
x 100%
= 0.14 x 100%
= 14%
Therefore, the rate of return is 14%.
-4 (2x - 3) > -28
Divide by -4 on both sides. Since we're dividing by a negative, we need to switch the sign.
2x - 3 < 7
Add 3 to both sides
2x < 10
Divide by 2 on both sides
x < 5
