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Romashka [77]
3 years ago
6

how many of the first ten positive whole numbers can be expressed as the sum of two different prime numbers?

Mathematics
1 answer:
leonid [27]3 years ago
7 0
1 = Not Possible
2 = Not Possible
3 = Not Possible
<span>4 = 2 + 2 </span>
<span>5 = 2 + 3 </span>
<span>6 = 3 + 3 </span>
<span>7 = 2 + 5 </span>
<span>8 = 3 + 5 </span>
<span>9 = 2 + 7 </span>
<span>10 = 3 + 7
</span>Taking into account that there must be two "Different" prime numbers, that leaves <span>5, 7, 8, 9, and 10. So 5 of the first 10 whole numbers.</span>
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Answer:

<em>He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons. </em>

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

<u>We know that, 1 yard = 36 inches and 1 foot = 12 inches</u>.

So,  1 yard, 2 feet and 4 inches =[(1*36)+(2*12)+4]inches = 64 inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, <u>the total length of the twine he will need</u>  =(64*29) inches= 1856 inches.

Now....

1856 inches

=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

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