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ololo11 [35]
4 years ago
6

To which rational number subset(s) does the following number belong? 4/13 I. Rational Numbers II. Natural Numbers III. Whole Num

bers IV. Integers
Mathematics
1 answer:
Y_Kistochka [10]4 years ago
5 0
1. Rational numbers
because A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.
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Duane rode his bike at 14 miles per hour for 3 hours, then put the bike down and began walking at miles 2 per hour. Elizabeth st
Colt1911 [192]

Elizabeth will take <u>9 hours and 45 minutes</u> to catch up with Duane using the given speed-distance-time values.

The speed-distance-time relations are:

Speed = Distance/Time, Distance = Speed*Time, and Time = Distance/Speed.

The distance traveled by Duane on the bike at 14 miles per hour for 3 hours = 14*3 miles = 42 miles.

The time that Elizabeth takes to cover 42 miles jogging at 5 miles per hour = 42/5 hours = 8.4 hours.

The distance traveled by Duane in the extra time which Elizabeth took to reach his bike (8.4 - 3 = 5.4 hours) walking at 2 miles per hour = 2*5.4 = 10.8 miles.

Now, the distance between Elizabeth and Duane is 10.8 miles, before Elizabeth starts riding the bike.

Keeping the distance constant, we calculate the relative speed to calculate the time to cover this distance.

Relative speed = Elizabeth's speed - Duane's speed {As Elizabeth is moving towards Duane, that is, covering the distance but Duane is moving away from Elizabeth, that is, increasing the distance}.

or, Relative speed = 10 - 2 = 8 miles per hour.

Time taken to cover the distance = 10.8/8 = 1.35 hours.

Therefore, the total time taken by Elizabeth to catch up with Duane = 8.4 + 1.35 hours = 9.75 hours or 9 hours and 45 minutes.

Learn more about the speed-distance-time relations at

brainly.com/question/4931057

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4 0
2 years ago
The calculation for annual depreciation using the straight-line depreciation method is.
Fiesta28 [93]

The calculation of annual depreciation using the straight line depreciation method is given by Depreciable Cost / Estimated useful life

Option B is the right answer.

The missing Options are attached with the answer.

<h3>What is Depreciation ?</h3>

Depreciation is an account entry , which depicts the fall in tyhe net value of an asset with time.

It includes the depreciation of automobiles , machines etc.

Various methods are used and accepted world wide for calculation of Depreciation

The calculation of annual depreciation using the straight line depreciation method is given by

Depreciable Cost / Estimated useful life

Therefore Option B is the right answer.

To know more about Depreciation.

brainly.com/question/15085226

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4 0
2 years ago
Subtract the following. Write your answer in standard notation.*<br> 18-92 X 10+
charle [14.2K]

Answer:

-740

Step-by-step explanation:

18-72 equals -74

now -74 *10 equals-740

6 0
3 years ago
8. If b(x) = -2(x-50), what is the value of<br> b(20)? Request
Sav [38]
-2(20-50)

60 is your answer
7 0
3 years ago
Select Proportional or Not Proportional to correctly classify each pair of ratios. 3/7 and 8/28
Archy [21]
Explanation-

3/7 is not proportional because if you divide 3 by 7 you don’t get a whole number or nice fraction



8/28 is proportional because if you divide the fraction by 4 you get 2/7 which is a nice fraction
4 0
3 years ago
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