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aleksley [76]
3 years ago
9

a) miss martinez works 38 hours for an hourly rate of $4.15. in addition she works 6 hours of overtime at time and a half. what

is her total gross pay? b) deductions amount to 32% of her total gross pay. what is her net pay?
Mathematics
1 answer:
Zinaida [17]3 years ago
5 0
$157.42 
Hope this helps!
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URGENT HELP PLEASE!
Vaselesa [24]

Answer:

(a) x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b) x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi.

(a)

\sqrt{2}\sin 2x=1

\sin 2x=\dfrac{1}{\sqrt{2}}

\sin 2x=\dfrac{\pi}{4}

2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}     [\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]

x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}

(b)

\csc^2 x-\csc x-2=0

\csc^2 x-2\csc x+\csc x-2=0

\csc x(\csc x-2)+1(\csc x-2)=0

(\csc x+1)(\csc x-2)=0

\csc x=-1\text{ or }\csc x=2

\sin x=-1\text{ or }\sin x=\dfrac{1}{2}         [\because \sin x=\dfrac{1}{\csc x}]

x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}

Therefore, x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}.

5 0
3 years ago
Kimiko works at the drive-thru window in a fast-food restaurant. At the end of a 2-hour shift, the display at her window shows t
Anastaziya [24]

Answer:

90 customers

Step-by-step explanation:

Total shift time  = 2 hours

1 hours = 60 minutes

Total shift time minutes = 2*60 minutes = 120 minutes

Average Time taken to serve 1 customer = 1 minute 20 seconds

lets convert  1 minute 20 seconds in fraction

60 seconds = 1 minute

20 seconds  = 20/60 minutes = 1/3 minutes

Thus,

Average Time taken to serve 1 customer = 1 minute + 1/3 minutes = 4/3 minutes

Lets assume she served x customer in her 2 hour shift

total time taken to serve x customer =x*Average Time taken to serve 1 customer = 4x/3 minutes

Given that she the customers for her shift time which is 120 minutes

4x/3 minutes = 120 minutes

x = 120*3/4 = 90

Thus,

Kimiko served 90 customers and this is the number of customer which came through the drive thru during those 2 hours.

3 0
3 years ago
PLEASE HELP! Help help help
zzz [600]

Answer:

I believe your answer would be 1/6 :)

Step-by-step explanation:

5 0
2 years ago
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Blake is paid $8.75 an hour. He worked 6 hours and spent of his
yarga [219]

Answer :

$52.50 - x

Step-by-step explanation:

8.75*6 = 52.5

Price of the book = x

$52.50 - x

5 0
2 years ago
Which of the following points does not satisfy the inequality 3y - x < 11?
Ivanshal [37]

Answer:

-2, 3

Step-by-step explanation:

If ×=-2 and y=3 then this would make the inequality equal to one another.

5 0
3 years ago
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