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Hitman42 [59]
3 years ago
9

A store has a 40\%40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is \$36$36dolla

r sign, 36.
What is the original price of the pair of headphones?
Mathematics
2 answers:
12345 [234]3 years ago
6 0
Put it in an equation;
it is given that 36 is the price after the 40% discount, so;
36=X*40%
X here is the original price
36=X*(40/100)
40X=3600
X=90$
Hope this helps.
Lemur [1.5K]3 years ago
5 0

Answer:

$60.

Step-by-step explanation:

Let x be the original price of the pair of headphones.

We have been given that a store has a 40% off sale on headphones. This means that price of headphones after the sales would be 60% (100-40) of x.

We are also told that with the discount, the price of one pair of headphones is $36.

We can represent this information is an equation as:

\frac{60}{100}x=\$36

0.6x=\$36

\frac{0.6x}{0.6}=\frac{\$36}{0.6}

x=\$60

Therefore, the original price of the pair of headphones is $60.

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Answer:   \bold{y=-\dfrac{1}{3}x-1}

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(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

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Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

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