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VladimirAG [237]
3 years ago
11

A book is on sale for 30% off. The sale price of the book is $14. What is the original price of the book

Mathematics
1 answer:
Yuki888 [10]3 years ago
8 0

Since $14 is the price after a 30% discount then $14 is 70% of the original price.

$14/70=x/100 (100% would be the original price)

1400=70x or 1400/70 = $20!

You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!

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Sergeeva-Olga [200]

Answer:

x = -24

Step-by-step explanation: Please brainliest!

Subtract 1/3 from both sides of the equation.

x/12 + 1/3 = 5/3

x/12 + 1/3 - 1/3 = -5/3 - 1/3

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Simplify and subtract the numbers.

x/12 = 2

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Multiply all terms by the same value to eliminate fraction denominators.

x/12 = -2

12 . x/12 = 12 (-2)

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Cancel multiplied terms that are in the denominator.

12 . x/12 = 12 (-2)

x = 12 (-2)

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Multiply the numbers.

x = 12 (-2)

x = -24

Answer x = -24

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ANSWER

y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16


EXPLANATION


Let us find the gradient of the line:

-3x+4y=4 by rewriting it in the slope intercept form.


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We divide through by 4 now;


\Rightarrow y=\frac{3}{4}x+1


This is now in the form;

y=mx+c

where

m=\frac{3}{4} is he slope.


This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of m=\frac{3}{4} .


Thus the perpendicular line has slope,

m=\frac{-1}{\frac{3}{4}}= -\frac{4}{3}.


Let the perpendicular line have equation,


y=mx+c

When we substitute the slope we have;


y=-\frac{4}{3}x+c

We substitute the point. (4,0) to find c.


0=-\frac{4}{3}(4)+c


0=-\frac{16}{3}+c


\frac{16}{3}=c

We substitute c to obtain;


y=-\frac{4}{3}x+\frac{16}{3}


Or

3y+4x=16

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