-r
Step by step:
7r+(-8)
7r+(-8r)
-r
Let's use the variables N and Q for the number of nickels and the number of quarters.
We know there are 49 total coins, so we can write the following equation:
N + Q = 49
We can solve this equation for one variable which will help in the next step. Let's solve for N:
N = 49 - Q
Next, we know that nickels are worth $0.05 and quarters are worth $0.25. We can use these values along with the total value of $8.85 to create another equation.
0.05N + 0.25Q = 8.85
Now we can use substitution to solve our system out equations. We solved the first equation for N, so we can plug 49 - Q in for N.
0.05(49-Q) + 0.25Q = 8.85
Distribute and combine like terms.
2.45 - 0.05Q + 0.25Q = 8.85
2.45 + 0.2Q = 8.85
0.2Q = 6.4
Q = 32
Plug 32 in for Q in N + Q = 49 to find the number of nickels.
N + 32 = 49
N = 17
Dustin has 32 quarters and 17 nickels.
Looking at the units, 756 meters divided by 6 m/s will give you the seconds that you need.
So for A) 756/6 = 126
For B, you take the answer from A, and subtract 18 seconds, which would make it 108. Then you take the distance, 756 and divide by 108, that will be the speed.
Sammy calculated the total amount that he deposited by <em>adding up the total amount deposited in each account.</em>
- The Checking account is used to pay for fixed and variable essential expenses. In this account, Sammy deposited $1,712.
- The Cash account is used for non-essential expenses, like snacks, etc. A total of $260 was deposited into this account.
- The Emergency Savings account is used for both other predictable and unpredictable expenses. A total of $340 was deposited into the account.
- For the Vacation Savings account, it is used to carter for other long-term expenses. A total of $50 was deposited into the account.
- When these accounts are added up, the total deposit made by Sammy can be calculated to be $2,362 ($1,712 + $260 + $340 + $50).
Data and Calculations:
Accounts Checking Cash Account Emergency Vacations
Savings Savings
Expenses:
Essential (fixed) $1,292
Essential (variable) 420
Non-essential $260
Other predictable $130
Other (unpredictable) 210
Other (long-term) $50
Total $1,712 $260 $340 $50
Thus, Sammy calculated the total amount that he deposited by adding up the total deposit in each account.
Link for related question:
brainly.com/question/22429629
