Answer:
Number of nickels = 6
number of dimes = 9
number of quarters =12
Step-by-step explanation:
Let 'q' be the number of quarters and 'n' be the number of nickels
and 'd' be the number of dimes
twice as many quarters as nickels
![q=2n](https://tex.z-dn.net/?f=q%3D2n)
three more dimes than nickels.
![d=3+n](https://tex.z-dn.net/?f=d%3D3%2Bn)
1 nickel = 5 cents
1 dime = 10 cents
1 quarter = 25 cents
4.20 dollars = 420 cents
![5n+10d+25q=420](https://tex.z-dn.net/?f=5n%2B10d%2B25q%3D420)
replace q and d in the above equation
![5n+10(3+n)+25(2n)=420](https://tex.z-dn.net/?f=5n%2B10%283%2Bn%29%2B25%282n%29%3D420)
![5n+30+10n+50n=420](https://tex.z-dn.net/?f=5n%2B30%2B10n%2B50n%3D420)
![65n+30=420](https://tex.z-dn.net/?f=65n%2B30%3D420)
Subtract 30 from both sides
![65n=390](https://tex.z-dn.net/?f=65n%3D390)
divide both sides by 65
n=6
Number of nickels = 6
number of dimes = ![3+n=3+6=9](https://tex.z-dn.net/?f=3%2Bn%3D3%2B6%3D9)
number of quarters = ![2n=2(6)= 12](https://tex.z-dn.net/?f=2n%3D2%286%29%3D%2012)
Answer:
y=(5/3)x
Step-by-step explanation:
Since y varies directly with x, then the constant of proportionality is equal to k=y/x. Since y/x=20/12=5/3, then k=5/3. This means the equation to relate x and y is y=(5/3)x
Answer:
4 & 5/12
Step-by-step explanation:
<span>2x - 3(-4x + 2 )
2x+12x-6
14x-6
2(7x-3)</span>