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Law Incorporation [45]
3 years ago
15

Margie has these times recorded on her time sheet for the week. How many hours did she work?

Mathematics
2 answers:
Mumz [18]3 years ago
7 0
The answer is
A) 47
kobusy [5.1K]3 years ago
4 0

Answer:

Option A. 47 hours

Step-by-step explanation:

The given table is about the times recorded on the time sheet for the week.

We have to calculate the total time she worked for.

From 7:05 to 3:58

If 7:05 is a.m. then 3:58 will be 15:58 pm.

By subtraction of these timings we can get the number of hours she has worked.

15:58 - 07:05 = 8:53 (8 hours 53 minutes)

From 7:30 a.m. to 17:01 pm

17:01 - 07:30 = 9:31 (9 hours 31 minutes)

From 8:01 a.m. to 17:32 pm

17:32 - 08:01 = 09:31 ( 9 hours 31 minutes)

From 07:22 a.m. to 16:46 pm

16:46 - 07:22 = 09:24 (9 hours 24 minutes)

From 6:55 am to 16:31 pm

16:31 - 06:55 = 9:36 (9 hours 36 minutes)

Therefore, total time she worked = 8:53 + 9:31 + 9:31 + 9:24 + 9:36 = 44:175 (44 hours 175 minutes)

Now we will convert minutes to hours

175 minutes = 2 hours 55 minutes

So total working hours = 44 hours + 2 hours 55 minutes = 46 hours 55 minutes ≈ 47 hours

Therefore, Option A. 47 hours is the answer.

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Let k(w)= w+3/w+9. Find k^-1(-4)
DENIUS [597]

Answer:

\displaystyle k^{-1} (-4) = -\frac{39}{5}

Step-by-step explanation:

We are given the function:

\displaystyle k(w) = \frac{w + 3}{w + 9}

And we want to find k⁻¹(-4).

Recall that by the definition of inverse functions:

\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a

Let k⁻¹(-4) = <em>x, </em>where <em>x</em> is an unknown value. Then by definition, k(x) must equal -4.

So:

\displaystyle k(x) = \frac{x+3}{x+9} = -4

Solve for <em>x: </em>

\displaystyle \begin{aligned} \frac{x+3}{x+9} &= -4 \\ \\ x+3 &= -4(x+9) \\ \\ x+3 &= -4x - 36 \\ \\ x &= -\frac{39}{5} \end{aligned}

Hence, k(-39/5) = -4. By definition of inverse functions, then, k⁻¹(-4) = -39/5.

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3 years ago
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