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kvasek [131]
3 years ago
15

After a 5% sale discount, the price of an item became $38.00. What was the original price?

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Hey! How ya doing today? :)

Let's make an equation:

(38)(100)/95

If you simplify that equation we will reach $40.

Therefore the original price was $40.

Hope you understand :)

Have a good one!

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Equation of the line contains the points (-3,2) and (5,-5)
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For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

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We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

Thus, the equation of the line is of the form:

y = - \frac {7} {8} x + b

We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

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y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

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