Answer:
The value of x is 8/5
Step-by-step explanation:
(35/6)x + (8/3) = 12
(35/6)x = 28/3 (cross multiplication)
105x = 168
x = 8/5
First, 10 1/2 is the same as 21/2
If there are 12 inches in a foot then
21/2*12=126 inches
Answer:
Oh lordy I hope this is correct
Step-by-step explanation:
Type: Irrational Numbers. Example: 1.17513698...
Type: Natural Numbers. Example: 56
Type: Rational Numbers: Example: 1/3
Type: Integers. Example: -5
Type: Whole Numbers. Example: 0
12.5%. there is a 1 in 8 chance that all three times it will land on heads.
Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.