Answer: 20.833mph.
Step-by-step explanation:
Using the motion Formula,
speed = distance/time.
This means:
distance = speed * time.
To find the value of "s" in the question, we have to calculate the distance both trains travelled in terms of "s" and sum it to give us 300miles.
For train A,
Speed = S miles per hour
time taken to reach current position= 7hours.
Hence, the distance travelled by train A
Distance A = 7s.
For train B,
Speed= (S + 10)miles per hour.
time taken to reach current position= 5hours (since train B left two hours after the departure of train A)
Distance = speed * time
Distance B = (S + 10) * 5
Distance B = 5s + 50.
Hence, adding both distance to sum up to 300miles, it becomes:
300 = 7s + 5s + 50
300-50 = 12s
250 = 12s
s = 20.833mph.
Answer:
length = 16 feet
width = 12 feet
Step-by-step explanation:
divide the length and width by 2 so you get 3 and 4. then you proceed to Multiply both by 4 and you get 12 and 16
6÷2 = 3
8÷2 = 4
3x4= 12
4x4 = 16
Answer: - 25 < x < 5
Step-by-step explanation:The first thing is to Add 23 to both sides
The equation becomes
4 / x + 10 / < 37 + 23
4/x +10 / < 60
Divide through by 4
/ x +10/ < 15
to remove the modulus sign we have
-15< x + 10 < 15
we then solve one by one
firstly , - 15 < x + 10
subtract 10 from both sides
⇒ - 15 - 10 < x
-25 < x
solving the second part
x + 10 < 15
x < 15 - 10
x < 5
combining the two answers
-25 < x < x
Answer:
t = - 24
Step-by-step explanation:
Given t varies inversely as a then the equation relating them is
t = 
← k is the constant of variation
To find k use the condition t = 2 when a = - 4
2 = 
( multiply both sides by - 4 )
- 8 = k
t = 
← equation of variation
When a = 
, then
t = 
= - 24
