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Evgen [1.6K]
3 years ago
7

Lovell decorates reclaimed shorts and sells them. She pays $420 per month in rent and $21 in expenses for each pair of shorts. S

he sells the shorts for $35 per pair. How many pairs of shorts does Lovell have to sell per month to break even?
Mathematics
1 answer:
kirill [66]3 years ago
8 0
Answer: 30 pairs of shorts

21x+420=35x
subtract 21x from both sides of the equation.
420=14x
get rid of the x by division
420/14
you get 30 =x
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Frac - Numerator] Factor quadratic:                    \displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}
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When we divide (x + 2), we would have a <em>removable</em> <em>discontinuity</em>. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.

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