Answer:
Total number of dimes=6
Total number of nickels=12
Step-by-step explanation:
The expression for the total value of money Jayden has is;
Nickels have a value of= $0.05
Dimes have a value of= $0.10
Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)
where;
Total value=$1.20
Value of a nickel=$0.05
number of nickels=y, but y=2 x
Value of a dime=0.10
number of dimes=x
replacing;
1.20=(0.05×2 x)+(0.1×x)
0.1 x+0.1 x=1.2
0.2 x=1.2
x=1.2/0.2
x=6
y=2 x=2×6=12
Total number of dimes=6
Total number of nickels=12
<u>Given</u>:
The 11th term in a geometric sequence is 48.
The 12th term in the sequence is 192.
The common ratio is 4.
We need to determine the 10th term of the sequence.
<u>General term:</u>
The general term of the geometric sequence is given by

where a is the first term and r is the common ratio.
The 11th term is given is

------- (1)
The 12th term is given by
------- (2)
<u>Value of a:</u>
The value of a can be determined by solving any one of the two equations.
Hence, let us solve the equation (1) to determine the value of a.
Thus, we have;

Dividing both sides by 1048576, we get;

Thus, the value of a is 
<u>Value of the 10th term:</u>
The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term
, we get;





Thus, the 10th term of the sequence is 12.
Answer: v=-18/5
Step-by-step explanation:
Assuming you want to solve for v, we need to use our algebraic properties.
[subtract both sides by 2]
[multiply both sides by 3]

Now, we know that v=-18/5.
Answer:
$197,949.40
Step-by-step explanation:
Just took the quiz.
The total number of ways the study can be selected is: 637065
Given,
Total number of women in a group= 13
Total number of men in a group = 12
Number of women chosen = 8
Number of men chosen = 8
∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.
This in the form of combination factor = nCr
∴ nCr = n!/(n₋r)! r!
13C₈ = 13!/(13 ₋ 8)! 8!
= 13!/5!.8!
= 1287
12C₈ = 12!/(12₋8)! 8!
= 12!/5! 8!
= 495
Now multiply both the combinations of men and women
= 1287 × 495
= 637065
Hence the total number of ways the study group is selected is 637065
Learn more about "Permutations and Combinations" here-
brainly.com/question/11732255
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