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fenix001 [56]
3 years ago
15

-6(2+n) is greater than 72

Mathematics
2 answers:
Ganezh [65]3 years ago
8 0

Answer:

n < -14

Step-by-step explanation:

-6(2 + n) > 72 //Distribute -6 to 2 and n

-12 - 6n > 72

-6n > 72 + 12

-6n > 84

n < 84/-6 //Dividing negative number flip the sign

n < -14

Hitman42 [59]3 years ago
5 0

Answer:

n > -14

Step-by-step explanation:

Firstly, you use the distributive property;

-12 - 6n > 72

Then, since 12 is negative, you add 12 to both sides;

-12 - 6n > 72

+12           +12

-6n > 84

Then you divide both sides by -6 to get n > -14.


Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.


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Working together, Candice and Ximena painted a fence in 8 hours. Last year, Ximena painted the fence by herself. The year before
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Answer: Time taken by Ximena to paint the fence alone  = 24 hours

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Step-by-step explanation:

Let x= Time taken by Ximena to paint the fence alone .

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As per given , we have

\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24

if x= 4

Time taken by Ximena = 4 hours

Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)

Therefore, x= 24

Such that

Time taken by Ximena to paint the fence alone  = 24 hours

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Step-by-step explanation:

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Naily [24]

Answer:

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Hope this helped!

5 0
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