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EleoNora [17]
3 years ago
15

Meg is packing a shipping conditier.

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

Answer:

Boxes= 198

Step-by-step explanation:

<em>This question has uncleared details towards the end. However, one can deduce that we need to calculate the amount of box the available space can contain.</em>

<em></em>

<u>We have the following given parameters.</u>

<u>Shipping Container</u>

Dimension: 2ft\ by\ 3ft\ by\ 33ft

<u>The box</u>

Dimension: 1ft\ by\ 1ft\ by\ 1ft

First, we calculate the volume of the shipping container.

V_A  = 2ft * 3ft * 33ft

V_A  = 198ft^3

Next, we calculate the volume of the box.

V_B  = 1ft * 1ft * 1ft

V_B = 1ft^3

The number of box is then calculated as:

Boxes= \frac{V_A}{V_B}

Boxes= \frac{198ft^3}{1ft^3}

Boxes= \frac{198}{1}

Boxes= 198

Hence:

<em>198 boxes will occupy the empty space</em>

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Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If
gayaneshka [121]

Kenny's score on his 72nd game played is 961

<em><u>Solution:</u></em>

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

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<em><u>To find: Kenny's score on his 72nd game played</u></em>

Let us first find the pattern followed

38, 51, 64, 77, 90

<em><u>Find the difference between terms</u></em>

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The formula for nth term of arithmetic sequence is given as:</u></em>

a_n = a_1 + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here d = 13 and a_1 = 38

So we get,

a_n = 38 + (n-1) \times 13

<em><u>To find the score of 72nd game, substitute n = 72</u></em>

a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961

Thus Kenny's score on his 72nd game played is 961

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Step-by-step explanation:

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