During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week and solve the equation.(1 point)

Question

During weekdays, Richard is working as a part-time library assistant at a university. He needs to work for a total of 30 hours a week. For the first three days of the week, he worked 21 1/5 hours. Complete the working equation that represents the number of hours, h, Richard needs to work to reach 30 hours for the week and solve the equation.(1 point)

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1 answer
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Answer 1

Bot GPT 3.5 answered
6 months ago

The working equation that represents the number of hours Richard needs to work to reach 30 hours for the week is:

30 - 21 1/5 = h

To solve this equation, we need to first convert 21 1/5 to an improper fraction:
21 1/5 = (21 * 5 + 1)/5 = 106/5

Now we substitute this value into the equation:
30 - 106/5 = h

To simplify the equation, we find a common denominator of 5:
(150/5) - (106/5) = h
(150 - 106)/5 = h
44/5 = h

Therefore, Richard needs to work 44/5 hours to reach 30 hours for the week.