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horsena [70]
1 year ago
12

Convert 980 seconds to minutes... explain please ​

Mathematics
1 answer:
Murrr4er [49]1 year ago
3 0

The correct answer, in minutes, is:  " 16 \frac{1}{3} minutes ".
_____

[<u>Note</u>:  This is the same value as " 16 minutes and 20 seconds."].
_____

Step-by-step explanation:

Convert 980 sec to "minutes".

Note the exact conversion:
  60 sec = 1 minute.

 
So: Given the values in this question:
  60 sec / 1 minute = "x  minutes/ 980 sec" ;

that is:

 " \frac{980 sec}{1}  *\frac{1 min}{60 sec}  " ;
The units: "sec" ["seconds"] cancel out to: " 1 " ;

 since: " [sec / sec = 1 ] ;   and we can simplify and rewrite:

   " \frac{980 min}{60} = \frac{980}{60} min."

 →  Now, cancel out the last numerical value of "zero"
                  (in both the numerator and the denominator);  that is: to simplify the expression further—by dividing each side by "10" ;

              to get:  " \frac{98}{6} min."

Then: divide the numerator by the denominator:
        "[ 98 ÷ 6 = 16 \frac{1}{3} minutes ] ; — which is our answer.

<u>Note</u>: "1/3" of:  "1 minute"  = (1/3)*(60 seconds) = 20 seconds.

So;  "16 1/3" minutes = 16 minutes and 20 seconds".

_____
The correct answer, in minutes, is:  " 16
\frac{1}{3} minutes ".
  [<u>Note</u>:  This is the same value as " 16 minutes and 20 seconds."].
_____
Hope this answer and explanation is helpful to you!
Best of luck to you!

_____

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Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre
Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow  1\frac{1}{5}\ acres in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow \frac{1}{2}\ acre in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

\frac{\frac{1}{2}}{25}=\frac{x}{60}

Solving for "x", you get:

\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

x=1\frac{1}{5}

Therefore, she can mow  1\frac{1}{5}\ acres in one hour.

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Step-by-step explanation:

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An arithmetic sequence with a third term of 8 and a constant difference of 5.
larisa [96]
An arithmetic sequence (a_n) is as follows:

a_1\\a_2=a_1+d\\a_3= a_1+2d\\a_4=a_1+3d,... where a_1 is the first term and d is the constant difference, 

thus, we see that the n'th term of an arithmetic sequence is a_n=a_1+(n-1)d


in our particular case d=5, the third term is 8, so we have:

a_3=8=a_1+2\cdot5\\\\8=a_1+10\\\\a_1=-2


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Answer:

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