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miskamm [114]
2 years ago
7

. Andre drinks 15 ounces of water, which is 3 5 of a bottle. How much does the bottle hold? Use x for the number of ounces of wa

ter the bottle hold
Mathematics
1 answer:
Serga [27]2 years ago
7 0

Answer:

25

Step-by-step explanation:

Andrea drinks 15 ounces of ater

It is 3/5 of the bottle

Therefore the amount which the bottle will hold can be calculated as follows

= 15 ÷ 3/5

= 15 × 5/3

= 75/3

= 25

Hence the bottle will hold 25 ounces of water

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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:

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\\

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/10341324
  • brainly.com/question/10081622

#LearnwithBrainly

6 0
3 years ago
What is the equation for nine more than half of a number is 21
timurjin [86]

Answer: ×/2 + 9 =

Step-by-step explanation: when a sentence needs to be visualized it is best to strat from the outside.

So if nine more than blah blah equals 21,

... +9 = 21

7 0
3 years ago
PLEASE HELP I don’t understand<br> Please explain and answer
STatiana [176]

9.

a) You put the scientific notation in expanded form, 671,000,000. From there just divide it by 60. 11,183,333.333 miles per minute.

b) Take the miles/minute rate and multiply it by 8.3; 92821666.6667 miles per 8.3 minutes.

Hope this helps :)

8 0
2 years ago
In a triathlon , Jenny swam for 1 hour , biked for 1.75 hours , and ran for 1 hour. Her average biking speed was 2 times her ave
Naddika [18.5K]

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

<h3>Speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the average swimming speed, b the average biking speed and c the average running speed.

Her average biking speed was 2 times her average running speed, hence:

  • b = 2c  (1)

Her average running speed was 8 times her average swimming speed. Hence:

  • c = 8a   (2)

Total distance of the triathlon was 55.5 kilometers. Hence:

a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5   (3)

From equation 1, 2 and 3:

a = 2.5, b = 24, c = 12

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

Find out more on speed at: brainly.com/question/6504879

3 0
2 years ago
The following is a geometric sequence.<br> - 1/2 , 1/4, -1/8 , 1/16 <br> true <br> false
seraphim [82]

Answer:

True

Step-by-step explanation:

It has a common ratio of -1/2

Each term after the first is obtained by multiplying the previous one by -1/2:-

-1/2 * 1/2 = 1/4 ;  1/4 * -1/2 = -1/8  and so on.

6 0
3 years ago
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