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:
2^24 = 16,777,216 bacterias.
Step-by-step explanation:
So we start with 1 bacteria
after 1 hours: 2*1 = 2
after 2 hours: 2*2 = 2^2 = 4
after 3 hours: 2*2^2 = 2^3
after n hours: 2^n
Since one day has 24 hours we have n = 24 and total number of bacteria will
be: 2^24 = 16,777,216 bacterias.
A) 24 because it a very simple
Step-by-step explanation:
Just pick a bunch of values of x, and use the formula to find the corresponding value of y.
For example
When x = 0, y = 0+5 = 5 ----> Plot the point (0,5) on graph paper
When x = 1, y = 1+5 = 6 ----> Plot the point (1,6) on graph paper
When x = 2, y = 2+5 = 7 ----> Plot the point (2,7) on graph paper
Then connect the dots to get a linear graph. You should get a graph that looks like the one attached.
Depends how many ounces each burger is made with
