Answer:
Runner B
Step-by-step explanation:
speed = distance ÷ time
Runner A: 1 ÷ 8 = 0.125m/ms
Runner B: 2 ÷ 10 = 0.2m/ms
Runner C: 3 ÷ 20 = 0.15m/ms
Runner D: 5 ÷ 30 = 0.17m/ms
Runner B has the highest speed so he is the fastest runner.
Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)
You should already know this:
You should also know this:
So plugging in both of those into our identity, we get:
Simplify the denominator on the LHS (Left Hand Side)
We get:
LHS = RHS
Therefore, identity is verified.
Answer:
5 (x + 1) (4 x^2 - 5 x + 3)
Step-by-step explanation:
Simplify the following:
(4 x^2 - 5 x + 3) (5 x + 5)
Factor 5 out of 5 x + 5:
Answer: 5 (x + 1) (4 x^2 - 5 x + 3)
The first thing we must know is the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Therefore, the total distance traveled in this case is:
(5.5) * (0.5) + (1.5) * p = 13.25
Rewriting:
2.75 + 1.5p = 13.25
Clearing the value of p we have:
p = (13.25-2.75) / (1.5)
p = 7
Answer:
an equation representing this situation is:
2.75 + 1.5p = 13.25
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour