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Morgarella [4.7K]
3 years ago
9

Carmela works at a department store and earns $10.45 per hour. She has $33 removed from every paycheck for medical insurance. If

her goal is to earn a gross income of $468.60 in one week, how many hours (h) must Carmela work?
A. 14
B. 15
C. 42
D. 48
Mathematics
2 answers:
Vinvika [58]3 years ago
8 0
Adding 33 to 468.60 gives us $501.60. Dividing that by 10.45 we get 48 hours. Hope this helps, and PM me if something's not clear!
masha68 [24]3 years ago
5 0
$468.60 + $33 = <span>$501.60

$501.60 / $10.45 = 48 hours

answer
</span><span>D. 48</span>
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drek231 [11]

The solutions to the inequalities are x >1 and x < 6

<h3>How to solve the inequalities?</h3>

The inequality expression is given as:

-2x + 5 < 3x + 10

Collect the like terms in the above inequality

-2x - 3x < 10 - 5

Evaluate the like terms

-5x < 5

Divide by -5

x >1

Also, we have

5(x - 2) <3x + 2

Open the bracket

5x - 10 < 3x + 2

Evaluate the like terms

2x < 12

Divide by 2

x < 6

Hence, the solutions to the inequalities are x >1 and x < 6

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1 year ago
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zvonat [6]

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Step-by-step explanation:

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3 years ago
A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
Art [367]

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

L = 3x + 7

W = 2x

The perimeter of the rectangle is given by:

P = 2W + 2L

94 = 2(2x + 3x + 7)

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x = 8

Now, we can calculate the length of the rectangle:

L = 3x + 7 = 3*8 + 7 = 31        

         

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7 0
3 years ago
(csc x - 1) (csc x + 1)
victus00 [196]
<h2>Explanation:</h2>

Here we have the following expression:

(csc x - 1) (csc x + 1)

So we need to extend this. Remember that the difference of squares tells us:

(a-b)(a+b)=a^2-b^2

So here:

a=cscx \\ \\ b=1

Thus:

(csc x - 1) (csc x + 1)=csc^2x-1 \\ \\ \\ But: \\ \\ cscx=\frac{1}{sinx} \\ \\ \\ Then: \\ \\ csc^2x-1=\frac{1}{sin^2x}-1=\frac{1-sin^2x}{sin^2x}=\frac{cos^2x}{sin^2x}=cot^2x \\ \\ \\ Finally: \\ \\ \boxed{(csc x - 1) (csc x + 1)=cot^2x}

4 0
3 years ago
Analyze the proof. Use the drop-down boxes to complete the sentences.
alexira [117]

Answer:

Answer is power reducing and substitution

Step-by-step explanation:

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