The average speed for the journey from Llanfyllin to Bala is 14 km/h
Average speed is the ratio of total distance travelled to total time taken. Also, average speed can be given as the average of the different speeds.
Let d₁ represent the distance from Llanfyllin to Vyrnwy and t represent the time taken, since the speed is 12 km/h, hence:
12 = d₁/t
d₁ = 12t
Let d₂ represent the distance from Vyrnwy to bala and t represent the time taken. Since they spent the same time, since the speed is 16 km/h, hence:
16 = d₂/t
d₂ = 16t
Average speed = total distance/total time
Average speed = (d₁ + d₂) / (t + t)
Average speed = (12t + 16t) / 2t
Average speed = 28t / 2t
Average speed = 14 km/h
Hence their average speed for the journey from Llanfyllin to Bala is 14 km/h.
Find out more at: brainly.com/question/23774048
Step 1: If there is a common factor, factor out the GCF. Step 2<span>: Identify the number of terms: (i) If polynomial has two terms, convert polynomial into difference of two squares or sum of two cubes or difference of two cubes.</span>
Answer:
<em><u>-15h-8</u></em>
Step-by-step explanation:
-2(1.5h+5)-4(-0.5+3h)
= -3h -10 +2-12h
=-15h-8
Answer:
Step-by-step explanation:
The given system is:
Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.
This gives me the system:
We could solve the first equation for 
and replace the second with that.
Let's do that.
Subtract 
on both sides:
So we are replacing the second in the second equation with 
which gives us:
Now recall the first equation we arranged so that was the subject. I'm referring to .
We can now find given that using the equation .
Let's do that.
with :
So the solution is (8,-1).
We can check this point by plugging it into both equations.
If both equations render true for that point, then we have verify the solution.
Let's try it.
with 
:
is a true equation so the "solution" looks promising still.
with :
is also true so the solution has been verified since both equations render true for that point.
