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Serggg [28]
3 years ago
11

Jay gets a haircut each month. He always leaves the barber a tip that equals a percent of the total bill. write an equation that

will help him determine the amount of the tip he should leave h=cost of hair p=percent tip t=amount of barbers tip
Mathematics
2 answers:
TiliK225 [7]3 years ago
6 0
H * p = t
$20 *.20= $4
Sonbull [250]3 years ago
4 0
The answer is 4 dollars
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The ratio of boys to girls in a room is 4:9.<br> There are a total of 39 people in the room.
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12 boys and 27 girls

1) Add 4 to 9. 13

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What is the solution of -8/2y-8=5/y+4-7y+8/y^2-16
Mnenie [13.5K]
<h2>Answer:</h2>

The solution of the given equation is:

                         y=6

<h2>Step-by-step explanation:</h2>

The expression is given by:

\dfrac{-8}{2y-8}=\dfrac{5}{y+4}-\dfrac{7y+8}{y^2-16}

Now on solving for the given equation

\dfrac{-8}{2(y-4)}=\dfrac{5}{y+4}-\dfrac{7y+8}{(y-4)(y+4)}

since,

a^2-b^2=(a-b)(a+b)\\\\so,\\\\y^2-16=y^2-4^2\\\\i.e.\\\\y^2-16=(y-4)(y+4)

Hence, we get:

\dfrac{-4}{y-4}=\dfrac{5\times (y-4)-(7y+8)}{(y+4)(y-4)}\\\\i.e.\\\\\dfrac{-4}{y-4}=\dfrac{5y-20-7y-8}{(y-4)(y+4)}

-4\times (y-4)(y+4)=(-2y-28)(y-4)\\\\i.e.\\\\(y-4)(-4\times (y+4))=(-2y-28)(y-4)\\\\i.e.\\\\(y-4)(-4y+16)=(-2y-28)(y-4)\\\\i.e.

(y-4)(-4y+16)-(-2y-28)(y-4)=0\\\\i.e.\\\\(y-4)(-4y-16+2y+28)=0\\\\i.e.\\\\(y-4)(-2y+12)=0\\\\i.e.

y-4=0\ or\ -2y+12=0\\\\i.e.\\\\y=4\ or\ 2y=12\\\\i.e.\\\\y=4\ or\ y=6

but y≠ 4

since, the denominator of the term in the left side of the given equality and the second term in the right side of the given equality will be zero and hence, the expression will be not defined.

Hence, the value of y is: 6

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