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kirza4 [7]
3 years ago
14

Carolyn makes and sells necklaces. The material to make each necklace costs $3.20. Last week she made 12 necklaces and wants to

make a total profit of $54. Using the equation 12(x-3.20)=54,Carolyn determined that she will make a profit of $7.70 on each necklace. Which error did Carolyn make?
Mathematics
2 answers:
lbvjy [14]3 years ago
8 0

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

12(x-3.20)=54

solve for x

(x-3.20)=54/12

x=4.5+3.20=\$7.70

The profit on each necklace is equal to

\$7.70-\$3.20=\$4.5

therefore

Carolyn's mistake was confusing the selling price of the necklaces with the profit.

Art [367]3 years ago
6 0

Answer:

The solution means that she should charge $7.70 for each necklace so she can reach her goal.

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Step-by-step explanation:

V = LWH

length is 2 (1/3 in)

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Hanna picks up strawberries. she can either choose getting 74$ per hour or 3 $ per basket. she says she can pick up 10 basket in
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Answer:

21.62% more

Step-by-step explanation:

20 mins * 3 = 60 mins (1 hour)

10 baskets * 3 = 30 baskets

3$ * 30 baskets = 90$

90$ - 74$ = 16$

74 / 100 - 0.74

90 / 0.74 = 121.62

So she makes 21.62% more with 3$ per basket.

8 0
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What is the approximate length of arc 9.9,19.9,21.5,43
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4 0
3 years ago
Please help me find the area of shaded region and step by step​
Bumek [7]

Answer:

Part 1) A=60\ ft^2

Part 2) A=80\ cm^2

Part 3) A=96\ m^2

Part 4) A=144\ cm^2

Part 5) A=9\ m^2

Part 6) A=(49\pi -33)\ in^2

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

A=bh

where

b is the base of rectangle

h is the height of rectangle

so

A=(12)(7)-(8)(3)

A=84-24

A=60\ ft^2

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

A=b^2

where

b is the length side of the square

so

A=(12)(8)-(4^2)

A=96-16

A=80\ cm^2

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

so

A=4(4)(5)+(4^2)

A=80+16

A=96\ m^2

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

so

A=(15^2)-(9^2)

A=225-81

A=144\ cm^2

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

A=\frac{1}{2}(b)(h)

where

b is the base of triangle

h is the height of triangle

so

A=\frac{1}{2}(6)(7)-(6)(2)

A=21-12

A=9\ m^2

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

so

A=\pi (7^2)-(3)(11)

A=(49\pi -33)\ in^2

7 0
3 years ago
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