Answer:
95,040 different cast are possible
Step-by-step explanation:
In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.
Where n is the number of items you can choose and choose r from them.
In this case 
and 
Answer:
90
Step-by-step explanation:
= 6(12+3)
= 6*12 + 6*3
= 72 + 18
= 90
Answer:
I believe the answer is X=40
Step-by-step explanation:
cross multiply 5*16 = X * 2
Multiply 5*16
80= X*2
Add '-2x' to each side of the equation
80 + -2x = 2x + -2x
Combine like terms
80 + -2x = 0
Add '-80' to each side of the equation.
80 + -80 + -2x = 0 + -80
Combine like terms: 80 + -80 = 0
0 + -2x = 0 + -80
-2x = 0 + -80
Combine like terms: 0 + -80 = -80
-2x = -80
Divide each side by '-2'.
x = 40
Simplifying
x = 40
Hope this helped :)
Answer:
Step-by-step explanation:
Compounding interest :
Future value of money = Present value * (1+ r)^N
r - interest rate
n - number of period
In our example, Present value = 325.76, FV = 400, r = 2%, and we need to find N
by solving that we can find it that N is equal to 10.3675
Simple interest :
400 - 325.76 = 74.26$ we need to increase
325.76*2% = 6.5152$ each year
74.26 / 6.5152 = 11.3949
as a whole year = 12years
Answer:
One of the angles in the triangle might be 50.
AND
The length of the third side must be 11cm or smaller.
Step-by-step explanation:
-The triangle might be an equilateral triangle (having all the same sides and angles). False, since the triangle sum theorem states that all angles inside of a triangle must add up to 180, so an equilateral triangle would need to have all three angles at 60 degrees.
-One of the angles in the triangle must be 120 (false; it can be anything above 90, which is not only 120)
-The length of the third side must be 11cm or smaller. (True, Triangle Inequality Theorem)
-One of the angles in the triangle might be 50 (possibly, so very much true)
