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kumpel [21]
3 years ago
11

Sherri has 23 pieces of jewelry to sell. She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55. If t

he bracelets are represented by x and the necklaces are represented by y, which of the following systems of equations can be used to calculate the number of bracelets and necklaces sold?
Mathematics
2 answers:
Nutka1998 [239]3 years ago
3 0
X + y = 23
2x + 3y = 55
mylen [45]3 years ago
3 0

Answer:

The system of equations that can be used to calculate the number of bracelets and necklaces sold are:

                     x+y=23

and               2x+3y=55

Step-by-step explanation:

Let the bracelets are represented by x and the necklaces are represented by y.

Now it is given that:

  • Sherri has 23 pieces of jewelry to sell.

This implies that the equation that can be formed using this information is:

                 x+y=23------(1)

  • She sells the bracelets for $2 and the necklaces for $3, and earns a total of $55.

Hence, the equation formed by using this information is:

                 2x+3y=55--------(2)        

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Question is in screenshot. Please answer it correctly
fomenos

a) You need to sell 12 or 29 dresses.

b) Any number between 2 and 39 dresses will give a positive profit.

<h3>How many dresses must be sold in order to make a profit of 3000 euros?</h3>

Here we know that the profit, in euros, as a function of the number of dresses sold is:

P(x) = -11*x^2 + 450*x - 800

Now, if you want to find how many dresses you need to sell to have a profit of 3000 euros, then you need to solve:

P(x) = 3000 = -11*x^2 + 450*x - 800

So we need to solve the quadratic equation:

-11x^2 + 450x - 800 - 3000 = 0

-11x^2 + 450x - 3800 = 0

The solutions are given by Bhaskara's formula:

x = (-450 ± √(450^2 - 4*(-3800)*(-11))/2*(-11)

x = (-450 ± 187.9)/(-22)

We have two solutions that give the same profit:

  • x = (-450 + 187.9)/-22 = 11.9 that can be rounded to 12.
  • x = (-450 - 187.9)/-22 = 28.99 that can be rounded 29.

Then if you sell either 12 or 29 dresses, you will get a profit of 3000 euros.

b) To make a profit you need to sell more than P = 0, so let's solve that first:

P= 0 = -11*x^2 + 450*x - 800

The solutions are:

x = (-450  ± √(450^2 - 4*(-800)*(-11))/2*(-11)

x = (-450  ± 409)/(-22)

The smaller solution is:

x = (-450 + 409)/-22 = 1.86 that can be rounded to 2.

(because you can't sell 1.86 of a dress)

The other solution is:

x =  (-450 - 409)/-22 = 39

So, between 2 and 39 dresses, you will make a profit.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0
1 year ago
Christa went shopping for back-to-school clothes. Before the tax was added on, her total was $176. If the sales tax is 6%, what
deff fn [24]

Answer:

$10.56

Step-by-step explanation:

Cross multiply and divide!

if the total cost is $176, multiply by the % of sales tax and divide by 100 (100%)

176 multiplied by 6% = 1,056

1,056 divided by 100% = $10.56

6 0
3 years ago
One side of a square is 8 centimeters long what is the area
Leni [432]
A= b(h)
a= 8(8)
a= 64cm^2
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How do you divide 12.92 by 3.4
Aleks04 [339]
3.8 is the answer for that question


7 0
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At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount
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The correct answer is C I believe so
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