Michael's bank contains only nickels, dimes, and quarters. There are 57 coins in all, valued at $4.55. The number of nickels is 7 short of being three times the sum of the number of dimes and quarters together. How many dimes are in the bank

10 dimes.

Step-by-step explanation:

Let n represent number of nickels, d represent number of dimes and q represent number of quarters.

We have been given that there are 57 coins in all. We can represent this information in an equation as:

We are also told that the value of all coins is $4.55. We can represent this information in an equation as:

The number of nickels is 7 short of being three times the sum of the number of dimes and quarters together. We can represent this information in an equation as:

From equation (1), we will get:

Substituting this value in equation (3), we will get:

Therefore, there are 41 nickels in the bank.

Upon substituting equation (1) and value of n in equation (2), we will get:

Therefore, there are 10 dimes in the bank.

d

step-by-step explanation:

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²