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3 years ago

What is the missing number in this sequence? 3,7,15, 63, 127

Mathematics

1 answer:

miss Akunina [59]3 years ago

7 0

Answer:

Step-by-step explanation:

3 times 2 is 6, plus 1 is 7

7 times 2 is 14, plus 1 is 15

15 times 2 is 30, plus 1 is 31

31 times 2 is 62, plus 1 is 63

63 times 2 is 126, plus one is 127

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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b

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Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

$\begin{gathered} Volume\text{ = }7\times5\times8.5 \\ \\ =297.5 \end{gathered}$

The formula of density is:

$\text{ Density =}\frac{\text{ Mass}}{\text{ Volume}}$

So,

$\begin{gathered} 0.21=\frac{\text{ Weight of contents in container}}{\text{ Volume of container}} \\ \\ 0.21=\frac{\text{ Weight}}{297.5} \\ \\ 0.21\times297.5=\text{ Weight} \\ \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}$

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For 62.475 pounds the value is:

$\begin{gathered} =62.475\times8.80 \\ \\ =549.78 \end{gathered}$

So the value of the container contents is 549.78

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1 year ago