First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.
N will represent nickels
D will represent dimes
N + D = 30
---The problem tells us that there are 30 total coins
0.05N + 0.10D = 2.95
---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95
Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.
N + D = 30
N = 30 - D
Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.
0.05(30 - D) + 0.10D = 2.95
1.5 - 0.05D + 0.10D = 2.95
1.5 + 0.05D = 2.95
0.05D = 1.45
D = 29
Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.
N = 30 - D
N = 30 - 29
N = 1
Therefore, there are 29 dimes and 1 nickel.
Hope this helps!
Answer:
yes circumference is all the way around a circle
Step-by-step explanation:
Now, in order for it to be a proportion, both the number and the denominator must turn to the other number by the same method. I'll clarify when we do the steps.
So, the first one is 4/10 and 10/25
The first thing that you would do is divide 10 by 4, and then 25/10
When you do that, it turns out that they both equal 2.5. This means that both the number and denominator go to the new number with the same method, multiplying by 2.5
So, the answer would be A
Answer:
D
Step-by-step explanation:
A function is a set of points which never repeat x values. The only answer that follows that rule of a function is the last one, d.
Hope this helps! :D
