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klemol [59]
3 years ago
5

1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the

necklace for $15.99. Lucy’s profit on the necklace is equal to the sale price minus the cost of materials and labor. (a) How much profit does Lucy earn when she sells a necklace? What fraction of the sale price of the necklace is profit? Record your answer as a fraction using whole numbers. (b) What decimal of every dollar of the sale price of the necklace is profit? Show your work. Round your answer to the nearest hundredth. (c) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? How much profit did she earn? Show your work. ID PREFER AN EXPERT TO ANSWER THIS QUESTION OR HIGHER. BEST ANSWER GETS BRAINLIEST
Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
Hello there.

<span>1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the necklace for $15.99. Lucy’s profit on the necklace is equal to the sale price minus the cost of materials and labor. 
</span><span>
(a)How much profit does Lucy earn when she sells a necklace? What fraction of the sale price of the necklace is profit? Record your answer as a fraction using whole numbers.
</span>the fraction of the sale price of this necklace would be (704/1599). 

<span>c) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? How much profit did she earn?
</span>223.86/15.99=14 necklaces. 14(7.04)=$98.56 of profit.
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Sloan [31]

Answer: \Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Step-by-step explanation:

<u>Given the system of equation</u>

1)~y=-(x+2)^2+1

2)~y=2x+5

<u>Expand the parenthesis of the 1) equation</u>

y=-(x+2)^2+1

y=-(x^2+4x+4)+1

y=-x^2-4x-4+1

y=-x^2-4x-3

<u>Current System</u>

1)~y=-x^2-4x-3

2)~y=2x+5

<u>Substitute the y value of the 1) equation with the 2) equation</u>

2x+5=-x^2-4x-3

<u>Add ( x² + 4x + 3) on both sides</u>

2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)

2x+5+x^2+4x+3=0

<u>Combine like terms</u>

x^2+2x+4x+5+3=0

x^2+6x+8=0

<u>Factorize the quadratic equation</u>

(x+4)(x+2)=0

x=-4~\text{or}~x=-2

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y=2x+5

y=2(-4)+5=-8+5=-3

y=2(-2)+5=-4+5=1

<u>Therefore, the two solutions are:</u>

\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Hope this helps!! :)

Please let me know if you have any questions

8 0
2 years ago
The local school sponsored a mini-marathon and supplied 84 gallons of water per hour for the runners. What is the amount of wate
Dmitrij [34]
All you need to do is multiply 84 by 4. 

The number of gallons by the number of quarts <em>in a gallon. </em>

80*4= 320

4*4=16

320+16= 336

There are 336 quarts of water supplied an hour. 

I hope this helps!
~kaikers
3 0
3 years ago
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djyliett [7]

Answer:

mn

Step-by-step explanation:

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2 years ago
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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $52. The total cost to re
riadik2000 [5.3K]

Answer:

The cost for 1 chair is $2.75 and the cost for 1 table is $8.75

Step-by-step explanation:

Use the elimination method of linear equations to find your answer.

Our equations for this problem are:

3c+5t=52 and 9c+7t=86

1. Multiply the entire first equation by -3.

-3(3c+5t=52)

2. Simplify the equation from above:

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3. Stack the two equations on top of each other and add/subtract:

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4. You should be left with -8t=-70. Simplify this to find the value of t:

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5. Plug the value of t into any of the original equations and solve for c.

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6. Simplify the equation above:

3c+43.75=52

7. Subtract 43.75 from both sides of the equation:

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8. Divide both sides by 3 to get your c value:

c=2.75

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Solnce55 [7]
8 x 5 = 40
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