Answer:
see below
Step-by-step explanation:
(ab)^n=a^n * b^n
We need to show that it is true for n=1
assuming that it is true for n = k;
(ab)^n=a^n * b^n
( ab) ^1 = a^1 * b^1
ab = a * b
ab = ab
Then we need to show that it is true for n = ( k+1)
or (ab)^(k+1)=a^( k+1) * b^( k+1)
Starting with
(ab)^k=a^k * b^k given
Multiply each side by ab
ab * (ab)^k= ab *a^k * b^k
( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)
Therefore, the rule is true for every natural number n
Answer:
13 months
Step-by-step explanation:
m=number of months
30(m)+50
30*13= 390
390+50=440
The equation would be y = -2/3x + 8
The answer is 14 bolts.
1 dozen bolts have 12 bolts.
7 dozen bolts have x bolts
___
1 : 12 = 7 : x
x = 7 * 12 : 1
x = 84 bolts
1 bin has 7-dozen bolts (84 bolts).
1/6 bin has x bolts
1 : 84 = 1/6 : x
x = 84 * 1/6 : 1
x = 84/6 = 14 bolts
Answer:
16 pies
Three-Quarters of 16 is 12, and if you sell 12, then you have a quarter which is 4, which ends up being every quarter which equaled 4
