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3 years ago

5

A route up a mountain is 20 Km long. john followed this route at an average speed of xkm/h. write down an expression in terms of

x,for the number of hours he took to walk up the mountain.

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Speed = d/t
T = d/ speed
T = 20/ X

timofeeve [1]3 years ago

3 0

Answer:

20/x

Step-by-step explanation:

speed = distance /time

x km/h is speed

20 km is distance

x= 20/t

t= 20/x

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Madison's family traveled 5 7 of the distance to her uncle's house on Saturday. They traveled 1 2 of the remaining distance on S

Pepsi [2]

Answer:

The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7

Step-by-step explanation:

Let the total distance from Madison house to her uncle is 1 unit

She travels 5/7th of the total distance on Saturday

Remaining distance = $1-\frac{5}{7} = \frac{2}{7}$

She travels 1/2 of the remaining distance on Sunday.

Hence, the fraction of the total distance to her uncle's house that was traveled on Sunday is 1/2 * 2/7 = 1/7

3 0

3 years ago

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:

#LearnwithBrainly

6 0

3 years ago

If (-5x^5) (a) = 25x^7 + 100x^5, find a

sweet-ann [11.9K]

(-5x^5)(a) = 25x^7 + 100x^5
<u>+5x^5 +5x^5</u>
a = 25x^7

4 0

3 years ago

Translate and solve 860.89 is what percent of 437

Bumek [7]

Answer:

197%

Step-by-step explanation:

1.97 = 437/860.89

1.97=197%

4 0

3 years ago

Perimeter.<br> 6) A quadrilateral can have 2<br> reflex angles.

madreJ [45]

Answer:

False

Step-by-step explanation:

8 0

3 years ago

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