Answer: Option 'c' is correct.
Step-by-step explanation:
Let the number of dimes be 'x'.
Let the number of nickels be '
'.
Let the number of pennies be 
Let the number of quarters be '3x-34'.
As we know that
1 quarter = $0.25
1 dime = $0.10
1 nickel = $0.05
1 penny = $0.01
According to question, we get that

So, the number of pennies is given by

Hence, Option 'c' is correct.
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Number of widgets needed to make one motor = 11
Number of motors made each day = 4
Number of widgets used per day :-
= 4 × 11
= 44 widgets
Number of widgets I need to order for the next five days of the upcoming week :-
= 44 × 5
= 220 widgets
Therefore , my team should order 220 widgets for the next week ( 5 working days ) .
Answer:
5x 2.5= 12.5
V= 2.5
Step-by-step explanation:
The answers are basically the first 5 numbers in the 14 times tables
so 14,28,42,56,70