Answer:
0.43 miles
Step-by-step explanation:
Let t be the time it takes Achilles to run the race. Since Achilles runs at a speed of 13 mph, the distance he covers in time t is d = 13t.
Also, by the time Achilles finishes the race, the turtle has already covered a distance, d at a speed of 1 mph in the same time, t. So, d' = 1t = t
Given that when Achilles reaches the finish line, the turtle is 2/5 of a mile behind him, then d - d' = 2/5.
So, 13t - t = 2/5
12t = 2/5
t = 2/5 × 1/12
t = 1/5 × 1/6
t = 1/30 h
So since d = distance from start to finish = distance Achilles covers = 13t,
Substituting t = 1/30 into d, we have
d = 13t
= 13 × 1/30
= 0.43 miles
Answer:
1) x = 17, line a parallel to line b
2) x = 18, line a parallel to line b
Step-by-step explanation:
If line a parallel to line b then (10x - 40) + 50 = 180
Solve for x
10x - 40 + 50 = 180
Combine like terms
10x + 10 = 180
10x = 170
x = 17
x = 17, line a parallel to line b
-------------------------------------------------
If line a parallel to line b then 5x - 16 = 74
Solve for x
5x - 16 = 74
5x = 90
x = 18
x = 18, line a parallel to line b
Answer:
12x^2 + 4x
Step-by-step explanation:
The area of the blue is
A = l*w
A = 3x*4x = 12x^2
The area of the pink is
A = l*w
A = 1*4x = 4x
Add them together
A total = 12x^2 + 4x
Answer:
(60 x 25) - 25 = 1475
Step-by-step explanation:
