Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?
1 answer:
Answer:
Step 3
Step-by-step explanation:
Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?
Given :
4(x - 1/5) = 2 2/3
Open the bracket
4x - 4/5 = 2 2/3
Add 4/5 to both sides
4x - 4/5 + 4/5 = 8/3 + 4/5
Lcm of 3 and 5 = 15
4x = (40 + 12) / 15
4x = 40/15 + 12/15
4x = 52/15
Multiply by 1/4
4x * 1/4 = 52/15 * 1/4
x = 52 / 60
x = 13 / 15
Hence, the error is in step 3
15/5 * 3 = 12
Rather ; Leonardo wrote 16
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We can use the equation to find the length of the side of a square.
<u>Solution:</u>
Given that, the perimeter of a square is equal to the perimeter of an equilateral triangle.
The length of a side of the square is given by "x"
And the length of a side of the equilateral triangle is given by "y"
Finding the equation to determine value of "x"
<em><u>The perimeter of a square with side "x" is given as:</u></em>
<em><u>Perimeter of a equilateral triangle with side "y" is given as:</u></em>
Given that perimeter of a square = perimeter of an equilateral triangle
Hence, we can use the equation to find the length of the side of a square.