Answer:
Step-by-step explanation:
Add 3d to both sides.
Divide both sides by 10.
Answer:
81-25k²
Step-by-step explanation:
We need to write the expression for "The quantity 81 minus 5k, squared".
Square of any number x is given by x².
Square of 5k is given by : (5k)²= 5²×k²=25k²
Now subtract 25k² from 81.
It means we get : 81-25k². It is required expression.
Let’s make two equations. D being dimes and Q being quarters.
D+Q=100
0.1d+0.25q=14.05
Now, let’s multiply the first equation by -0.10 so that we can cancel out D.
-0.1D-0.1Q=-10
0.1d+0.25q=14.05
Let’s solve
0.15Q=4.05
Let’s divide.
Q=27
So there’s 27 Quarters. Since there are 100 in total, there must be 73 dimes.
Let’s make sure this adds up.
0.25(27)+0.1(73)
6.75+7.30
14.05
So there’s 27 Quarters.