27 equals 2 less than a number
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Answer:
The area of the copper circle is <u>31.4 inches</u>.
Step-by-step explanation:
Given:
An artist used silver wire to make a square that has a perimeter of 40 inches.
She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.
Use 3.14 to represent π.
Now, to find the area of the copper circle.
Perimeter of square = 40 inches.
So, we get the side of square by putting formula:
Dividing both sides by 4 we get:
Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:
For getting the area of circle we find the radius:
Radius (r) =
Now, putting the formula to get the area of the circle:
Therefore, the area of the copper circle is 31.4 inches.
The cost of one roll of plain wrapping paper is $5 and one roll of shiny wrapping paper costs $16.
Step-by-step explanation:
Step 1; Assume that the cost of one roll of plain wrapping paper is $x and a roll of shiny wrapping paper costs $y. so we have the following equations from the given data
4x + 3y = 68, take this as equation 1.
9x + 2y = 77, take this as equation 2
Step 2; We multiply equation 1 with 2 and equation 2 with 3 so we can cancel out the variable y in both equations. By doing this we get
8x + 6y = 136, take this as equation 3,
9x + 2y = 77, this is equation 4.
If we subtract 4 from 3, we cancel out the y variable and can calculate the value of x.
-19x = -103 , x = = 5.
Step 3; Substituting this value of x in any of the previous equations we will get x's value. Here this value of y is substituted in equation 1.
4 (5) + 3y = 68, 20 + 3y = 68 , 3y = 48, y= 16.
So we have x = $5 and y = $16.