Step-by-step explanation:
Where <em>c</em><em> </em>is the number of candy given to each friend and <em>b</em><em> </em>is the unknown number of candies in a box.
Answer:
(x, y) = ( 1, 10/3)
Step-by-step explanation:
2x + 3y + 12
6 - 4x + 3y = 12
Simplify the equation:
2x + 3y = 12
-4x + 3y = 6
Multiply both sides by -1:
2x + 3y = 12
4x - 3y = -6
Eliminate one variable by adding the equations:
6x = 6
Divide both sides by 6:
x = 1
Substitute the value of x into the equation:
-4 x 1 + 3y = 6
Solve the equation:
y = 10/3
A possible solution:
(x, y) = ( 1, 10/3 )
Check the solution:
2 x 1 + 3 x 10/3 = 6 -4 x 1 + 3 X 10/3 = 12
Simplify the expression:
12 = 12 = 12
Answer:
42%
Step-by-step explanation:
If the probability of the first machine breaking down is 30%, the probability of it operating normally is 100% - 30% = 70%
The probability of the second machine operating normally is 100% - 40% = 60%
So, the probability of both machines operating normally in one day is:
P = 70% * 60% = 0.7 * 0.6 = 0.42 = 42%