Hey there! I'm happy to help!
Let's represent our number of quarters with q and our dimes with d. We know that each q has a value of 0.25, and each d has a value of 0.1. This means that 0.25q+0.1d=1.85. We also know that q+d=11 as there are 11 total coins.
Here is our system of equations.
0.25q+0.1d=1.85
q+d=11
We are asked to solve with elimination. To do this, we need combine the equations to cancel out a variable to solve for the other. We have 1d on the bottom. Let's multiply the entire top equation by -10 to get a -1d on the top so we can do this.
-2.5q-d=-18.5
q+d=11
We combine the equations.
-1.5q=-7.5
We divide both sides by -1.5
q=5
Since there are 11 coins in total, this means that there are 5 quarters and 6 dimes.
Have a wonderful day!
The area of carpet square is 81 square inches
<h3><u>Solution:</u></h3>
Given that carpet squares has sides that are 9 inches long
<u><em>To find: area of carpet square</em></u>
Since given that carpet is of square shape, we can use area of square formula
<u><em>The area of square is given as:</em></u>
Where "s" is the length of side
Given s = 9 inches
Substituting the values in above formula, we get
Thus the area of carpet square is 81 square inches
100x²− 20xy + y²=
(10x-y) (10x-y) or (10x-y)²