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2 years ago

Carolyn makes and sells necklaces. The material to make each necklace costs

Mathematics

2 answers:

liberstina [14]2 years ago

8 0

Answer:

A. The solution is the amount she should sell each necklace for, and she will make a profit of $4.50 on each necklace.

Step-by-step explanation:

Let x be the cost of each necklace. She needs to subtract the cost of the materials from each necklace to get the profit.

x-3.20 is the profit on each necklace.

She sells 12 necklaces

12* (x-3.20) = 54

Divide each side by 12

12/12* (x-3.20) = 54/12

x-3.20 = 4.50

Add 3.20 to each side

x-3.20 +3.20 = 4.50 +3.20

x = 7.70

She sells the necklaces for 7.70 and makes a 4.50 profit on each necklace

mafiozo [28]2 years ago

5 0

Answer:

The correct answer is option A

The solution is the amount she should sell each necklace for, and she will make a profit of $4.50 on each necklace.

Step-by-step explanation:

It is given that,

The material to make each necklace costs $3.20. Last week she made 12 necklaces and wants to make a total profit of $54.

To find the selling price of necklace

Let x be the profit on each necklace.

The we can write,

12(x - 3.20)=54

x - 3.20 = 54/12 = 4.5

x = 4.5 + 3.20 = 7.7

From this we get,

the amount she should sell each necklace = $7.7

And she will make a profit of $4.50 on each necklace.

The correct answer is Option A.

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White raven [17]

Answer:

10 + 0.8 + 0.006 = 10.806

Step-by-step explanation:

Pick any two decimal numbers. The third one will be the difference between 10.806 and the sum of the two numbers you picked.

For example, choose 938.2 and 3.0055. Their sum is 941.2055. Then the third number that will make the sum be 10.806 is ...

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2 years ago

A bakery sells rolls in units of a dozen. The demand X (in 1000 units) for rolls has a gamma distribution with parameters α = 3,

bearhunter [10]

Answer:

The value is $E(X) = \$ 1.7067$

Step-by-step explanation:

From the question we are told that

The parameters are α = 3, θ = 0.5

The cost of making a unit on the first day is c = $2

The selling price of a unit on the first day is s = $5

The selling price of a leftover unit on the second day is v = $ 1

Generally the profit of a unit on the first day is

$p_1 = 5 - 2$

$p_1 = \$3$

The profit of a unit on the second day is

$p_2 = 1 - 2$

=> $p_2 = - \$1$

Generally the probability of making profit greater than $ 1 is mathematically represented as

$P(X > 1 ) = Gamma (X ,\alpha , \theta)$

=> $P(X > 1 ) = Gamma (1 ,3 , 0.5)$

Now from the gamma distribution table we have that

$P(X > 1 ) = 0.67668$

Generally the probability of making profit less than or equal to $ 1 is mathematically represented as

$P(X \le 1 ) = 1 - P(X > 1 )$

=> $P(X \le 1 ) = 1 - 0.67668$

=> $P(X \le 1 ) = 0.32332$

So the probability of making $3 is $P(X > 1 ) = 0.67668$

and the probability of making -$1 is $P(X \le 1 ) = 0.32332$

Generally the value of profit per day is mathematically represented as

$E(X) = 3 * P(X > 1 ) + (-1 * P(X \le 1 ) )$

=> $E(X) = 3 * 0.67668 + (-1 * 0.32332 )$

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trapecia [35]

Answer:

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