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Diano4ka-milaya [45]
3 years ago
5

a designer needs to create perfectly circular necklace. the necklace each need to have a radius of 10cm. what is the largest num

ber of necklaces that can be made from 1000cm of wire 1)15 2)16 3)31 4)32
Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0
Ok so find circumference of 1 neclace
C=2pir
r=10
C=2pi10
c=20pi

how many 20pi's make 1000?
20pi times x=1000
divide both sides by 20pi
xnecklaces=1000/20pi
xnecklaces=50/pi
aprox pi=3.14
xnecklaces=50/3.14
xnecklaces=15.915
round down since you can't sell 0.9 necklasce

15 is answer

1st option is correct
Paraphin [41]3 years ago
3 0
1)15

The formula for the circumference of a circle is 2<span>π x r
r must always be 10cm

2</span><span>π x 10 = 62.8cm
This is how much wire is needed to make each necklace

1000/62.8 = 15.92
This is how many necklaces can be made, however since there are only 15 whole necklaces the answer is 15.

We are short 0.008cm to make the 16th one.

</span>
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I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

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Explanation:

<u>1) Time it takes Ashley to preprate one bag: </u>

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<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>

  • 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
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<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>

  • Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

  • Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

  • Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

  • Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

<u>4) Time of prepare 1575 bags of samples:</u>

  • time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

<u>5) Convert minutes to hours:</u>

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