In 3 hours, one good worker can paint one fourth of your house. Three good workers can thus paint three fourths of your house in three hours, leaving one fourth to be done by bad workers.
One bad worker can paint one twelfth of your house in 3 hours. There are three twelfths in one fourth, so you will need to hire three bad workers to have your house painted on time.
So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator.
So y = 2/9
I hope this helps love! :)
Answer:
Step-by-step explanation:
As given in figure 1 below:
FK = a, m∠F = 45° and m∠L = 30°
Construction: Draw an altitude KE from point K on FL.
Now, In ΔFEK,
FE = EK (Sides opposite to equal angles of a triangle)
Let FE = EK = x
Now, using pythagoras In ΔFEK,
∴ FE = EK =
Now in ΔEKL, EK =
Using trigonometry ratio,
TanФ = Altitude\ Base
Tan 30° =
Now FL = FE + EL
FE = and
∴
Did you ever get the answer?