Carolyn makes and sells necklaces. The material to make each necklace costs $3.20. Last week she made 12 necklaces and wants to
2 answers:
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.
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Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.