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3 years ago

Marcus hikes at a rate of 2 miles per hour if he hikes for 6 1/3 hours how many will he hike

Mathematics

2 answers:

maria [59]3 years ago

5 0

Answer:

Marcus will walk 38/3 miles.

Step-by-step explanation:

Given data

Rate of hiking (r): 2 miles per hour = 2 mi/h

Time elapsed (t): 19/3 hours

6 1/3 = 6 + 1/3 = 18/3 + 1/3 = 19/3

We can find the distance (d) that he walks using the following expression.

r = d/t

d = r × t = 2 mi/h × 19/3 h = 38/3 mi = (36 + 2)/3 mi = 12 2/3 mi

Marcus will walk 38/3 miles.

Firdavs [7]3 years ago

3 0

2 = 1 hour
x = 6 1/3

2 * 6 1/3 = 12 2/3

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3 years ago

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The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula $n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ , equivalent to the <em>recurrence</em> formula $a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}$ .

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

$n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}$ (1)

Now we prove that given expression contains the pattern:

n = 0

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7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

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n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

To learn more on patterns: brainly.com/question/23136125

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3 years ago

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bagirrra123 [75]

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