Answer:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Step-by-step explanation:
The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.
In this sense, the associative property for the sum is mathematically given by:
and for the multiplication by:
Now, let:
Using the Associative Property of Multiplication:
Therefore the equivalent expressions are:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
First 3 terms are a^2 + n a^(n-)1 b + n(n-1)/2 * a^(n-2) b^2
So q^2 / pr = (n^2 * a^(2n-2) * b^2 ) / (1/2 * a^n * (n(n-1) * a^(n-2) * b^2 )
= n^2 * a^2n-2 * b^2
-----------------------------------
1/2 n(n-1) * a^(2n-2) * b^2
= 2n / n - 1 as required
given p = 4, q=32 and r = 96:-
32^2 / 4*96 = 2n / n-1
2n / n-1 = 8/3
6n = 8n - 8
2n = 8
n = 4 answer
Answer:
Hope it helps bhhhhbbbbbbhb
What is the question more information
A represents the speed of the aircraft.
b represents the speed of the bus.
a=2b-5
114/b=218/a
Substitution method
114/b=218/(2b-5)
(2b-5)*(114/b)= 218
(228b-570)/b = 218
228b-570= 218b
228b-218b=570
10b= 570
b=57
Plug the value of b into one of the original equations.
a=2(57)-5
a=114-5
a=109
Final answer:
Average speed of plane= 109
Average speed of bus= 57
