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2 years ago

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Joyce rented a booth at a carnival at a cost of $95 to sell handmade beaded necklaces. The cost of making and packaging each bea

ded necklace was $15. If Joyce sells the beaded necklaces at $35 each, how many beaded necklaces must she sell to make a profit of at least $500?

2 answers:

julia-pushkina [17]2 years ago

8 0

Joyce will have to sell at least 15 beaded necklaces to make a profit of $525

kvv77 [185]2 years ago

3 0

Answer:

I got 11.9 but u cant sell 11.9 necklaces so i would say 12

Step-by-step explanation:

15+35=50

50x=595

solve for x

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In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s

Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

$P=2b+2h$

In this problem

$b=ED=2\ units$

$h=AE=6\ units$

substitute

$P=2*2+2*6=16\ units$

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

$P=BD+DC+BC$

In this problem we have

$BD=AE=6\ units$

$DC=BC$

Applying the Pythagoras theorem

$DC^{2}=4^{2}+3^{2}$

$DC^{2}=25$

$DC=5\ units$

substitute

$P=6+5+5=16\ units$

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

$P=16\ units$

the perimeter of the triangle is

$P=16\ units$

so

the ratio is equal to

$\frac{16}{16} =1$

therefore

<u>the answer Part 1) is the option B</u>

$1$

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

$A=AE*BD=6*2=12\ units^{2}$

Area of the triangle is equal to

$A=\frac{1}{2}AEh$

the height h of the triangle is equal to $4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of polygon is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

therefore

<u>the answer part 2) is the option C</u>

$24\ units^{2}$

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ruslelena [56]

Answer:

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Step-by-step explanation:

We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.

We can find the minimum number of playlists by finding GCF of the given two numbers.

We can write 32 = 2^5 and we can write 72 = 2^3*3^2

Therefore, GCF of the two numbers is 2^3 = 8.

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Answer:

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Answer:

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