Answer:
14
Step-by-step explanation:
18/2
9+5
<u>14</u>
Answer:
Step-by-step explanation:
Given the first two numbers of a sequence as 2, 6...
If it is an arithmetic difference, the common difference will be d = 6-2 = 4
Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d
a is the first term = 2
d is the common difference = 4
n is the number if terms
Substituting the given values in the formula.
Nth term Tn = 2+(n-1)4
Tn = 2+4n-4
Tn = 4n-4+2
Tn = 4n-2
2) If the sequence us a geometric sequence
Nth term of the sequence Tn = ar^(n-1)
r is the common ratio
r is gotten by the ratio of the terms I.e
r = T2/T1
r = 6/2
r = 3
Since a = 2
Tn = 2(3)^(n-1)
Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)
More precisely it would be beating 114 times in a minute!
Answer:
The number of
Dimes = d = 20 dimes
Quarters = q = 10 quarters
Step-by-step explanation:
Let us represent
The number of :
Dimes = d
Quarters = q
Note that:
A dime is worth 10 cents = 0.10d
A quarter is worth 25 cents = 0.25q
A Wonsan has 30 coins in her pocket, all of which are dimes and quarters .
d + q = 30...... Equation 1
d = 30 - q
If the total value of the coins is $4.50
0.10d + 0.25 q = 4.50.....Equation 2
We substitute 30 - q for d in Equation 2
0.10(30 - q) + 0.25q = 4.50
3 - 0.10q + 0.25q = 4.50
- 0.10q + 0.25q = 4.50 - 3
0.15q = 1.5
q = 1.5/0.15
q = 10 quarters
Solving for d
d = 30 - q
d = 30 - 10
d = 20 dimes
Therefore:
The number of
Dimes = d = 20 dimes
Quarters = q = 10 quarters
Answer:
second one i think
Step-by-step explanation: