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2 years ago

First-person to get this right with an explanation gets Brainliest

Mathematics

2 answers:

Natasha2012 [34]2 years ago

3 0

Answer:

17b

Step-by-step explanation:

Total volume of water = amount of water in each bottle x total number of bottles. The equation that relates the number of bottle of water (b) to the total volume of the water (w) in fluid ounces is w = 17b

nirvana33 [79]2 years ago

3 0

Answer:

A. y = 17x

B. 867 fluid ounces

C. 3 bottles

Step-by-step explanation:

There are few bottles of water that each contain 17 fluid ounces of water.

A. If the number of bottles is given by x and the total volume of water those bottles contain is y in fluid ounces, then the equation that relates x and y is

y = 17x ...... (1) (Answer)

B. If x =51, then the volume of water in 51 bottles will be given by equation (1) as

y = 51 × 17 = 867 fluid ounces. (Answer)

C. If y = 51 fluid ounces, then from equation (1), the number of bottles will be given by x = 51/17 =3 bottles. (Answer)

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Read 2 more answers

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago

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tino4ka555 [31]

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2 years ago

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Gemiola [76]

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2 years ago