Answer:
It is Commutative
Step-by-step explanation:
An operation ∆ is said to be Commutative if a∆b=b∆a ∀ a,b ∈ ℝ.
Given the operation ∆ defined by:
a∆b=a X b
a∆b=
=3
Similarly, for the right hand side.
Therefore:
b∆a=
=3
These are the two ways of solving this problem and we have in fact shown that the operation is commutative as:
a∆b=b∆a=3
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
slope is 2/3 and y intercept is 7
Answer:
100 cm
Step-by-step explanation:
Given:
AC = BC
AC = 40
2AB=AC
Simplify:
BC = 40
Simplify:
2AB = 40
Algebra:
AB = 20
Here's the sides:
AB = 20
AC = 40
BC = 40
Add all of them together:
100
Answer:
The answer is C.
Step-by-step explanation:
The simplest form is C.
