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!
Okay so you would line them up then you would multiple 5 and 0 then 7 and 5 and then you add a 0 then you would get the answer 350 then you would multiply the same numbers then the answer you would get is 3500 then you add 3500+350=3850
Answer:
x=9
Step-by-step explanation:
First, distribute the negative sign, changing (2x+9) to -2x-9
next, distribute. 10x+−2x+−9=(−3)(15)+(−3)(−4x)
then, combine like the like terms (10x+−2x)+(−9)=12x−45
then you get 8x+−9=12x−45, and you will subtract 12x from both sides, resulting in −4x−9=−45. To get -4x by itself, add 9 to both sides
lastly, divide both sides by -4
x=9
Answer:
I say D, most accurate angles
Step-by-step explanation:
Multiply your equation by the inverse of the coefficient of d to get d by itself.
With d on the left, this is
... d = r·t
