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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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home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

-1

5

= -0.2

θ =  

arctan( ΔY ) + 360°

ΔX

= 348.69006752598°

ΔX = 5 – -5 = 10

ΔY = -3 – -1 = -2

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -0.2x – 2

or

y =  

- 1 x

5

– -2

When x=0, y = -2

When y=0, x = -10

...............................................................................................................................................

home / math / slope calculator

Slope Calculator

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

Where

m — slope

θ — angle of incline

If the 2 Points are Known

Result

Slope (m) =  

ΔY

ΔX

=  

5

-1

= -5

θ =  

arctan( ΔY ) + 180°

ΔX

= 101.30993247402°

ΔX = -3 – -1 = -2

ΔY = 5 – -5 = 10

Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186

Equation of the line:

y = -5x – 10

When x=0, y = -10

When y=0, x = -2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

10

−

2

7

−

3

=

8

4

m = 2

...............................................................................................................................................

Input Data :

Point A  

(

x

A

,

y

A

)

= (3, 2)

Point B  

(

x

B

,

y

B

)

= (7, 10)

Objective :

Find the slope of a line that passes through points A and B.

Formula :

Slope

 

m

=

y

B

−

y

A

x

B

−

x

A

Solution:

Slope

 

m

=

10

−

2

7

−

3

=

8

4

m = 2

Step-by-step explanation:    This is the picture, I graphed it

Center: (0, 0)

Angle: 0 rad

Opacity: 1

Width: 10

Height: 6.8

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Step-by-step explanation:

An infinite geometric series converges if the absolute value of the common ratio is less than 1.

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So the series converges.  The sum of an infinite geometric series is:

S = a₁ / (1 − r)

where a₁ is the first term and r is the common ratio.

Here, a₁ = -5 and r = 4/5:

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