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) h + 21 1/5 = h = hours

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) h + 21 1/5 = h = hours

Answer 1

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

h + 21 1/5 = 30

To solve the equation, subtract 21 1/5 from both sides:

h = 30 - 21 1/5

To subtract fractions, convert 30 to a fraction with a denominator of 5:

30 = 29 5/5

Now subtract:

h = 29 5/5 - 21 1/5

h = 8 4/5

Therefore, Richard needs to work 8 4/5 hours to reach 30 hours for the week.

Answer 2

The working equation representing the number of hours Richard needs to work to reach 30 hours for the week can be expressed as:

h + 21 1/5 = 30

Now, let's solve the equation to find the value of h.

To begin, let's convert the mixed number 21 1/5 to an improper fraction.

21 1/5 = (21 * 5 + 1) / 5 = 106/5

Now, let's substitute this value into the equation:

h + 106/5 = 30

To isolate h, we'll need to get rid of the fraction. We can do this by multiplying both sides of the equation by the reciprocal of the fraction's denominator, which in this case is 5/1.

(h + 106/5) * (5/1) = 30 * (5/1)

Simplifying the equation, we have:

5h + 106 = 150

Next, let's isolate h by subtracting 106 from both sides of the equation:

5h + 106 - 106 = 150 - 106

Simplifying further, we get:

5h = 44

Finally, we'll solve for h by dividing both sides of the equation by 5:

(5h) / 5 = 44 / 5

Simplifying the equation gives us:

h = 8.8

Therefore, Richard needs to work approximately 8.8 hours to reach a total of 30 hours for the week.

Answer 3

To find the number of hours, h, Richard needs to work to reach 30 hours for the week, we need to set up an equation.

We know that for the first three days of the week, Richard worked 21 1/5 hours.

Let's start by converting the mixed number 21 1/5 into an improper fraction:

21 + 1/5 = 105/5 + 1/5 = 106/5

So, the equation representing the number of hours, h, Richard needs to work to reach 30 hours for the week is:

h + 106/5 = 30

Now, we can solve the equation for h.

Subtract 106/5 from both sides of the equation to isolate h on one side:

h + 106/5 - 106/5 = 30 - 106/5

Simplifying, we get:

h = 30 - 106/5

To simplify the right side of the equation, we need to find a common denominator:

The common denominator for 5 and 1 is 5. So, we rewrite 30 as 150/5:

h = 150/5 - 106/5

Subtracting the fractions, we get:

h = (150 - 106)/5 = 44/5

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