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 2115

Question

21
1
5
hours. Complete the working equation that represents the number of hours, h
ℎ
, Richard needs to work to reach 30 hours for the week and solve the equation.(1 point)
h + 2115 =
ℎ

+

21
1
5

=


h =
ℎ

=
hours....................

Answer 1

To find the number of hours Richard needs to work, we can set up the equation based on the total hours he needs to work (30 hours) and the hours he has already worked (2115 hours).

Let's first clarify the total hours worked in the first three days. From the format "2115," it looks like Richard has worked 21 hours and 15 minutes. We need to convert this to hours in decimal form:

21 hours and 15 minutes can be converted as follows:

• 15 minutes = 15/60 hours = 0.25 hours
• So, 21 hours and 15 minutes = 21 + 0.25 = 21.25 hours

Now we can write the equation:

\[ h + 21.25 = 30 \]

Now, we need to solve for \( h \):

1. Subtract 21.25 from both sides to isolate \( h \):

\[ h = 30 - 21.25 \]

2. Calculate the right side:

\[ h = 8.75 \]

So, Richard needs to work:

\[ h = 8.75 \text{ hours} \]

In conclusion:

Working equation:

\[ h + 21.25 = 30 \]

Solution:

\[ h = 8.75 \text{ hours} \]

Answer 2

wrong

Answer 3

I apologize for the misunderstanding. Let's clarify the calculations carefully.

Understanding the Hours Worked:

You stated that Richard worked "2115" hours. This representation appears to be using the format for time, often read as "21 hours and 15 minutes." Let's convert that to a decimal format:

• 21 hours = 21 hours
• 15 minutes = 15/60 hours = 0.25 hours

Total Hours Worked Calculation:

Now, total hours Richard has worked in the first three days:

\[ 21 + 0.25 = 21.25 \text{ hours} \]

Equation for Total Hours:

Richard needs to work a total of 30 hours during the week. So, we can create the equation:

\[ h + 21.25 = 30 \]

Solving the Equation:

Now we will solve for \( h \):

1. Subtract 21.25 from both sides:

\[ h = 30 - 21.25 \]

2. Calculate \( 30 - 21.25 \):

\[ h = 8.75 \]

Thus, Richard needs to work 8.75 hours to meet his total of 30 hours for the week.

Final Summary:

The equation set up correctly is:

\[ h + 21.25 = 30 \]

And the solution is:

\[ h = 8.75 \text{ hours} \]

If you meant something different by "2115" or if there’s any other specific details I missed, please let me know!