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Sindrei [870]
3 years ago
15

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29

cartons today. How much twine will he need? Convert the answer to larger units whenever possible.
Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

Answer

Find out the how much twine will he needs to pack 29 cartons today .

To proof

As given

uhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs.

As given in the question

Convert the answer to larger units .

As between  yard is the largest unit between yard, feet and inches.

1 inches = \frac{1}{36} yard

and

1 feet = \frac{1}{3} yard

Convert 2 feet into yard

=\frac{2}{3}

Convert 4 inches into yard

= \frac{4}{36}

twine to wrap each carton packs

= 1 + \frac{2}{3} + \frac{4}{36}

L.C.M of (3 , 36) = 36

than the equation becomes

=\frac{36 +2\times 12 + 4}{36}

= \frac{64}{36}

=1.77777778 yard

Now twine to wrap pack 29 cartons  = 29× 1.77777778

                                                             = 51.5555556 yard


Now twine to wrap pack 29 cartons is 51.55 yard ( approx)

Hence proved  

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Answer:

See explanation

Step-by-step explanation:

1. Find the GCF of 40 and 44:

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So,

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2. Find the GCF of 13 and 52:

13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13

So,

13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)

3. Find the GCF of 15 and 81:

15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3

So,

15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)

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64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4

So,

64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)

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Hope this Helps :3
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