Using dimensional analysis, what unit of time will make the statement true?

Mathematics

1 answer:

frosja888 [35]2 years ago

4 0

The unit of time that will make the statement true is "day"

<h3>What unit of time will make the statement true?</h3>

The conversion equation is given as:

Seconds + Seconds/? * day = seconds

Represent the blank with a variable (x)

So, we have:

Seconds + Seconds/x * day = seconds

Subtract "seconds" from both sides of the equation

So, we have:

Seconds/x * day = seconds

Divide both sides of the equation by "seconds"

So, we have:

1/x * day = 1

Multiply both sides by x

x= day

Hence, the unit of time that will make the statement true is "day"

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Answer:

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Cody wants to watch a new movie that is 3 hours long. He has watched 1/6 of the movie so far. What fraction of one hour did Cody

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What we know:
1/6 = what Cody wathed
1 stands for the unit that cody has watched a move (minutes)
6 = stands for the entire length of the movie (minutes)

Tharefore: If 6 stands for the entire length of the movie the movie is equal to 3 hours. However we are giving the unit in minutes not in hours, it would be:
3 x 60 = 3 stands for the ours 60 stands for minutes in an hour. That equals to 180.
This means that the 6 = 100% = 180min of the movie.

To figure what 1 stands for we need to divide 1/6. That will equal to 0.1(6). 0.1(6) x 180 (minutes of the entire movie) = 30 which would be the answer. Here is what you should have done using mathematical communication:

converting 3 h to minutes:

3 x 60 = 180 minutes
180 = the length of the entire movie
1/6 = 0.1(6)
0.1(6) x 180 = 30
... 30 /180 is the fraction of minutes that Cody spend watching the movie
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1/4 divided by 2/6 in simplest form

Nuetrik [128]

Answer:

1/4*6/2=6/8

3/4

Step-by-step explanation:

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