First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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Proof with explanation:
We know that the sum of first 'n' terms of a Geometric progression is given by
where
a = first term of G.P
r is the common ratio
'n' is the number of terms
Thus the sum of 'n' terms is
Now the sum of first '2n' terms is
Now the sum of terms from to term is
Thus the ratio becomes
Answer:
4,832 yards
Step-by-step explanation:
302x16=
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
Answer:
162 cubes
Step-by-step explanation:
48 cubes will have 2 sides.
8 cubes will have 3 sides.
216-54 = 162