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aev [14]
3 years ago
14

What is the value of s in the equation 3r=10+5s

Mathematics
1 answer:
insens350 [35]3 years ago
5 0
3r=10+5s 
3*10=10+5s
30=10+5s
30-10=5s
20=5s
s=4
r=10
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Angie has to fill in a reading log for her English class. She is required to read a total of 10 and 5 over six hours a week. On
JulijaS [17]

Given:

She is required to read a total = 10\dfrac{5}{6} hours a week.

Monday she read 1\dfrac{1}{3} hours.

Tuesday she read \dfrac{3}{4} of an hour.

Thursday she read 3 hours.

To find:

The total hours does she still need to read in order to get full credit.

Solution:

Total time = 10\dfrac{5}{6} hours a week.

Total time she already read =1\dfrac{1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{1\times 3+1}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{4}{3}+\dfrac{3}{4}+3 hours

                                              =\dfrac{16+9+36}{12} hours

                                              =\dfrac{61}{12} hours

Now,

Remaining time = Total time - Total time she already read

                         =10\dfrac{5}{6}-\dfrac{61}{12}

                         =\dfrac{65}{6}-\dfrac{61}{12}

                         =\dfrac{130-61}{12}

                         =\dfrac{69}{12}

                         =\dfrac{23}{4}

                         =5\dfrac{3}{4}

Therefore, the required time is  5\dfrac{3}{4} hours.

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