Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:





Total number of ways is then calculated as:


That would be step 2.
step 1 is correct....multiplying the first equation by -6 which gives you :
-6y = -24 + 12z
but in step 2, the simplifying would be : y = 4 - 2z
Answer:
Let l be length and w be the width
l = 2w+12
Area = (2w+12)*w = 224
2w^2 + 12w - 224 = 0
w^2 + 6w - 112 = 0
using quadratic formula
w=[ -6 +- {36- 4*1*(-112)}^0.5]/2*1
w = [-6 +- {484}^0.5]/2
w = [-6 +- {22}]/2
w = 16/2 or -28/2
w = either 8 or -14
Width can not be a negative number
wI’d think= 8 ft
length = 2*8+12 = 28 ft
Step-by-step explanation:
In order to find height (h), tan20 = h/26

Now for the left part of base (b1), where b2 = 26 and entire base (b) = b1+b2

So b = 13.03+26 = 39.03
Now Area (A) = 1/2bh = 1/2 (39.03)(9.46)
A = 184.59
Answer:
8/9
Step-by-step explanation:
Multiply the given equation by 2/(9a).
4a(2/(9a)) = 9b(2/(9a))
8/9 = 2b/a