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klio [65]
4 years ago
15

Part A: Solve −np − 70 < 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work. (6 points

Mathematics
1 answer:
likoan [24]4 years ago
7 0
For part A, lets write the problem

-np - 70\ \textless \  40
 
add 70 to both sides

-np - 70 + 70 \ \textless \  40 + 70&#10;&#10;-np \ \textless \  110

we are going to reverse the inequality, to do this we are going to multiply both sides by -1

(-np ) ( -1 ) \ \textgreater \  110 ( -1 )

pn \ \textgreater \  -110

divide both sides by p

\frac{pn}{p}  \ \textgreater \  \frac{-110}{p}

our answer would be 

n \ \textgreater \    \frac{-110}{p}

lets go with part b, lets write the problem

4w - 7k = 28

subtract 4w from both sides

4w - 7k - 4w = 28 - 4w

-7k = 28 - 4w

divide both sides by -7

\frac{-7k}{-7}  =  \frac{28}{-7} - \frac{4w}{-7}

I few simplified it, we would be left with,

k =  -\frac{28 - 4w }{7}

I hope this helped!!

- Kiana 
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Answer:

C: \frac{1}{8*8*8*8*8*8*8*8}

Step-by-step explanation:

a^{-n} = \frac{1}{a^n}

Since a = 8^2 :

(8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}

Since n = 4 :

(8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}

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A light bulb consumes 960 watt hours per day how long does it take to consume 4320 watt hours
VARVARA [1.3K]

Since we need to determine how long it takes for the watt hours to consume 4320 watt hours, we would need to divide.

We would simply divide.

4320/950= 4.5

The 4.5 represents how long it would take for the light bulb to consume 4320 watt hours.

Therefore, the answer would be 4.5 days.

<u>Answer</u>

4.5 days

<u>Recap</u>

1. We read the problem and determined that in order to solve the problem we would need to divide.

2. We then divided 4320/960= 4.5

3. We came to the conclusion that 4.5 days would be the answer.

7 0
4 years ago
What is the value of x
djyliett [7]

Hey there!


Assuming #1 ….


x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
||||~~||||~~||||~~||||~~~||||~~||||~~||||~~||||~~~||||

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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3 years ago
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