The ways the two rotten apple be selected in taking 3 apples from the bag, can be solve using fundamental counting principles.
P = 2 x 1 x 9
P = 18 ways
the first digit is 2 because there are 2 rotten apples. then next is 1 because only 1 apples is now left after you pick the first rotten apple. then next is 9 because there no rotten apple left and 9 apples were left
X + 2y = 5
x = 5 - 2y
2x + 4y = 3
2(5-2y) + 4y = 3
10 - 4y + 4y = 3
10 ≠ 3
5x + 2y = 3
5(5-2y) + 2y = 3
25 - 10y + 2y = 3
-8y = 3 - 25
-8y = -22
y = -22/-8
y = 2.75
6x + 12y = 30
6(5-2y) + 12y = 30
30 -12y + 12y = 30
30 = 30
3x + 4y = 8
3(5-2y) + 4y = 8
15 - 6y + 4y = 8
-2y = 8 - 15
-2y = -7
y = -7/-2
y = 3.5
An inconsistent system is a system of equation that has NO SOLUTIONS.
2x + 4y = 3 is the equation to be paired with x + 2y = 50 to create an inconsistent system.
X = 96
100 137.4
137.4x=(100)(96)
137.4x=9600
137.4x/137.4=9600/137.4
x=70%
<h2>
Height of smaller cone is 14.29</h2>
Step-by-step explanation:
For the first cone
Height, h = 18
Radius, r = 12
Substituting
Volume of new cone formed is half of the older cone.
Volume of new cone = 0.5 x 2714.34 = 1357.17
For the cone as the height reduces to 18 radius reduces to zero.
We have
0.467h₁³ = 1357.17
h₁ = 14.29
Height of smaller cone = 14.29
