Answer:
-5x+13 given (-x+3)-(4x-10)
Answer:-5x+13
Step-by-step explanation:
We are going to distribute to get rid of the ( ):
-x+3-4x+10
Pair up like terms:
-x-4x+3+10
Combine the like terms:
-5x+13
Answer:
\frac{2x^2}{3} =24
Step-by-step explanation:
times both sides by 3
2x²=72
divide both sides by 2
x²=36
sqrt both sides
x=+/-6
x=-6 or 6
-6<6 so -6 is the smallest solution
<span>Let time taken by Luke to cover the distance = x hours
Speed of Luke = 6 miles per hour
Therefore, Distance covered by Luke = 6x ------(1)
Speed of Micah = 4 miles per hour
Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started.
Therefore time taken by Micah to cover the distance = x+1/2
Distance covered by Micah = 4(x + 1/2) -------(2)
Equating (1) and (2)
6x = 4(x+1/2)
6x = 4x +2
2x = 2
x= 1
Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>
