Simply the formula of an area is Length x Width
An expression is the core parts of an equation Ex. A + B
A - 11 * 3 (Expression)
B - 11 * 3x (Expression)
* = multiply (x)
To answer this problem, the utilization of the provided formula is of utmost importance.
The formula to be used would be for the combination with no repetition since it is what is asked and possibly happens when involving the products mentioned in the problem. The formula would be
n! where in
------------- n = number of things to choose from
(n - r)! r! r = number of things needed to form
the symbol ! is called a factorial function which replaces the sequence of multiplying a number in a descending order.
lets substitute and solve
13!
--------------
(13 - 6)! 6!
13!
-------------
(7!) 6!
6,227,020,800
-------------------
5,040 x 720
6,227,020,800
-------------------
3,628,800
1,716
The answer would be 1,716.
In order from least to greatest:
5/10 , 7/12 , 4/6
You have to find a common denominator of all 3 numbers which is 60 and then you proceed with the next steps.
x = r sin θ cos Ф
x² = r² sin² θ cos² Ф
y = r sin θ sin Ф
y² = r² sin² θ sin² Ф
z = r cos θ
z² = r² cos² θ
x² + y² + z²
= r² sin² θ cos² Ф + r² sin² θ sin² Ф + r² cos² θ
= r² sin² θ (cos² Ф + sin² Ф) + r² cos² θ
= r² sin² θ + r² cos² θ
= r² (sin² θ + cos² θ)
= r² √
Let x represent the amount to be added. The total amount of tin will be
15%·20 + 10%·x = 12%·(20+x)
(15%-12%)·20 = (12%-10%)·x
3%·20/2% = x
30 = x
30 pounds of 10% tin must be added to get a 12% mixture.
