Divide the numerator by the denominator.
Answer:

Step-by-step explanation:
(a/5) - (b/3) = (a/2) - (b/6)
+(B/3) + (b/3)
NOTE: use property of equality to isolate <em>b</em> from <em>a</em>
(a/5) = (b/3) + (a/2) - (b/6)
-(a/2) - (a/2)
NOTE: continue to use property of equality to isolate <em>a</em><em> </em>from <em>b</em>
(a/5) - (a/2) = (b/3) - (b/6)
60((a/5) - (a/2)) = ((b/3) - (b/6))60
NOTE: 60 is a common multiple of 5, 2, 3, and 6
12a - 30a = 20b - 10b
NOTE: combine alike terms
-17a = 10b
-17a/-17 = 10b/-17
NOTE: decide by -16 to find what a is equal to

Final answer
Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
Answer:
18.85 inches.
Step-by-step explanation:
We have been given that the radius of a smaller circle 3 inch. We are asked to find the circumference of smaller circle.
We know that circumference of a circle is equal to
, where r represents radius of circle.




Therefore, the circumference of smaller circle is approximately 18.85 inches.
Answer:
The explicit formula that can be used is
The account's balance at the beginning of year 3 is
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above