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Sagot :
The net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.
How to interpret the division?
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b = a[/tex] divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex])
For this case, we're given that:
- Dorothy works 40 hours per week
- The final salary she gets after deduction is $2,718.26 (assuming this is monthly based salary, and each month having equal 4 weeks).
Since there are 4 weeks in a month, and each week, Dorothy works 40 hours per week, so the number of hours she worked in those 4 weeks (one month work approx) is:
[tex]40+40+40+40 = 4 \times 40 = 160 \: \rm hours[/tex]
That means, Dorothy gets $2718.26 for 160 hours of work.
Thus, if we divide this salary in 160 parts equally, we'll get net hourly income of Dorothy, as shown below:
[tex]\text{1 hour's pay} = \dfrac{2718.26}{160}\approx 16.98 \approx 17 \: \rm dollars[/tex]
Thus, the net income of Dorothy when she works 40 hours per week and her net pay is $2,718 monthly (4 week) is $17/ hour approximately.
Learn more about division here:
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