In Juan's coin bank there are nickels (n), dimes (d), and quarters (q). The number of
quarters is one-quarter the number of dimes, and
the number of nickels is twice the number of
quarters. The total value of the coins is $6.00.
Find the number of each type of coin. [Show all
work.]

Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

Step-by-step explanation:

Since in Juan's coin bank there are nickels (n), dimes (d), and quarters (q), and the number of quarters is one-quarter the number of dimes, and the number of nickels is twice the number of quarters, While the total value of the coins is $ 6.00, to find the number of each type of coin the following calculations must be performed:

Q = 1/4 D

N = 2Q = 1/2 D

D = D

20D + 10N + 5Q = X

20 x 0.10 + 10 x 0.05 + 5 x 0.25 = X

2 + 0.50 + 1.25 = X

3.75 = X

24D + 12N + 6Q = X

24 x 0.10 + 12 x 0.05 + 6 x 0.25 = X

2.40 + 0.60 + 1.50 = X

4.50 = X

32D + 16N + 8Q = X

32 x 0.10 + 16 x 0.05 + 8 x 0.25 = X

3.20 + 0.80 + 2 = X

6 = X

So, Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: