5x-10=3x
-10=-2x
-10/-2=-2x/-2
5=x
If Pipe 1 (P1) takes x hours to fill the pool, Pipe 2 (P1) and pipe 2 (P2) takes (x-9) hours to fill the pool, and pipe 2 (P2) takes (x+7) hours to fill the pool.
That is,
P1 = x hrs
P1+P2 = (x-9) hrs
P3 = (x+7) hrs
In 1 hour, P1 fills 1/x of the pool, P1+P2 fills 1/(x-9) of the pool and P2 fills 1/(1+7) of the pool.
Therefore,
1/x+1/(1+7) = 1/(x-9) => ((x+7)+x)/(x)(x+7)=1/(x-9) => (2x+7)/x^2+7x = 1/(x-9) => (2x+7)(x-9)=x^2+7x => x^2-18x-63 =0
Solving for x
x= (-b+/- sqrt (b^2-4ac)/2a, where a=1, b=18, and c=63
Substituting;
x1=21 and x2=-3 (the negative x is ignored as it does not make sense).
Therefore, x = 21
This means,
P1 takes 21 hours to fill the pool
P1+P2 takes (21-9) hours = 12 hours to fill the pool while P3 takes (21+7) hours = 28 hours
Answer:
Cheese cost per kilogram= 968
Step-by-step explanation:
Given:
Cheese cost per pound, Ib= 440
Cheese cost per kilogram, kg=?
As 1 kg = 2.2 Ib
So
Cheese cost per kilogram=2.2* 440
= 968!
Answer:
7/3
Step-by-step explanation:
because (x,y) is the coordinates , 3/2 is y
y = 3/2
plug in y
x * 4 * 3/2 = 14
solve
x*6 =14
simplify
x= 14/6 = 7/3
Trick question it grew exactly 2 cm since we don't know the value of d there can't be an outcome
