Answer:
Carolyn's mistake was confusing the selling price of the necklaces with the profit.
Step-by-step explanation:
Let
x-------> the selling price of each necklace
we know that
The linear equation that represent the situation is equal to
solve for x
The profit on each necklace is equal to
therefore
Carolyn's mistake was confusing the selling price of the necklaces with the profit.
Answer:
<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>
Step-by-step explanation:
area and perimeter of the given diagram
<u>area = 1/2 * base * height</u>
where base = 15 cm
height = 12 cm
plugin values into the formula
area = 1/2 * 15 * 12
area = 90 cm²
<u>Perimeter = add up all sides (AB + AC + BC)</u>
where side BC = √(5² + 12²)
BC = 13 cm
Perimeter = 25cm + 15 cm + 13 cm
Perimeter = 53 cm
3(2b + 3)² = 36
Divide both sides by 3.
3(2b + 3)² / 3 = 36/3
(2b + 3)² = 12
Take the square root of both sides.
√(2b + 3)² = √12
(2b +3) = +√12 or -√12
Solving when:
2b + 3 = +√12 2b + 3 = -√12
2b = √12 - 3 2b = -√12 - 3
b = (√12 - 3)/2 √12 ≈ 3.46 b = (-√12 - 3)/2
b ≈ (3.46 - 3)/2 b ≈ (-3.46 - 3)/2
b ≈ 0.46/2 b ≈ -6.46/2
b ≈ 0.23 b ≈ -3.23
Therefore b ≈ 0.23 or -3.23
Hope this helps.
