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algol13
3 years ago
13

Is 2 hours and 30 minutes more or less than 10% of a day?

Mathematics
2 answers:
vlabodo [156]3 years ago
8 0
100% - 24h
x - 2,5 h

x= \frac{100*2,5}{24} = \frac{250}{24}≈10,4

ANSWER: More than 10% of day.

jeyben [28]3 years ago
3 0

Answer:

2 hours and 30 minutes is more than 10% of the day

Step-by-step explanation:

First its necessary to identify the 10% of a day. This can be calculate using a rule of three knowing that a day have 24 hours and represent the 100% of the day, then how many hours represent the 10%. This is:

24h ---------------- 100%

 x    -----------------10%

where x is the number of hours that represent the 10% of the day. The value of x is:

X=\frac{24 * 10}{100} = 2.4 hours

Now, 2.4 hour is the sum of 2 hours and 0.4 hours, so we need to know how many minutes are 0.4 hours. This is calculate with a rule of three in which 1 hour have 60 minutes, then how many minutes have 0.4 hours. This is:

60 minutes  -----------  1 hour

      y           ------------ 0.4 hour

Where y is the number of minutes in 0.4 hour. The value of y is:

y=\frac{60*0.4}{1} = 24 minutes

So, 10% of a day is equivalent to 2 hours and 24 minutes.

Finally, 2 hours and 30 minutes is more than 2 hours and 24 minutes or 2 hours and 30 minutes is more than 10% of the day

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Let's start with the smallest prime number 2

60/2 = 30

Divide that result over 2

30/2 = 15

We can't divide this by 2 because 15/2 = 7.5 isn't a whole number

Let's move onto 3

15/3 = 5

The result is a prime number, so we stop.

The values we divided as denominators were: {2, 2, 3}

We add the result 5 to the set to completely list all of the prime factors of 60

The prime factorization would be

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3 years ago
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~~

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