<span>K = 3D. K - 4 = 5(D - 4). K - 4 = 5D - 20. K = 5D - 16. 3D = 5D - 16. 16 = 2D. D = 8. K = 3 x 8. K = 24.</span>
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be
and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate
by equalizing (Eq. 1) and (Eq. 2):

Then, we reduce the resulting formula by (Eq. 3):



And rest of variable are now determined:




Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Answer:
for calculating commissions
Step-by-step explanation:
The current value of the precious metal is $144/oz
-First, you'd want to determine the original value per ounce since that's what the final unit being asked for is.
- Since the original value of the half ounce piece is given, this first step is fairly simple. You just double ninety.
- We now know that the metal was worth $180/oz when the museum first received it.
- We need to determine the current price of the metal now that is has had a twenty percent loss of value.
- My favorite way to factor in 20% is simply to divide by five since it's a lot more simple than finding the ratio of x$/1%
- $180/5=$36
- Thirty-six dollars is the price drop over the course of the museum possessing the precious metal.
- You now take $180-$36=$144
Answer:
a) the initial value is $125, and it represents the cost Navin has to pay in the beginning
b) the rate of change is $20 per month, and it represents the cost he has to pay per month
c) linear; the equation for it is y = 20x + 125
d) The rate of change is constant because each month, Navin always has to pay $20.
e) This is <u>partial variation</u> because the equation y = 20x + 125 doesn't follow y = kx
Have a lovely rest of your day/night, and good luck with your assignments! ♡