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sergij07 [2.7K]
3 years ago
7

Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to worky in a week for his time-an

d-a- half overtime pay to be greater than his regular gross pay? Explain your answer.
Mathematics
1 answer:
Alex73 [517]3 years ago
6 0

Answer:

27 hours

Step-by-step explanation:

The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840

To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr

X hours multiplied by rate of $31.5/hr should be at least equal to $840

31.5x>=840

X>=840/31.5>=26.6667 hours and when rounded off

X is 27 hours

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the verbal expression

''Thirteen less than twice the sum of a number and six is 47''.

Let us break down the verbal expression into an algebraic equation

  • Let the number be = n
  • Twice the number n = 2n
  • Sum of twice the number and six = 2n+6
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And finally

Thirteen less than twice the sum of a number and six is 47:

2n+6-13 = 47

Therefore, the equation is:2n+6-13 = 47

Solving the algebraic expression

solving the equation for 'n'

2n+6-13 = 47

2n-7=47

Add 7 to both sides

2n-7+7=47+7

Simplify

2n=54

Divide both sides by 2

\frac{2n}{2}=\frac{54}{2}

Simplify

n=27

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2 years ago
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mars1129 [50]

Answer:

X = 75

Step-by-step explanation:

Angle F and angle X are corresponding angles so they are congruent  (equal)

Angle F and 105 form a straight line so they are supplementary angles, which means they add to 180

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Step-by-step explanation:

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