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saw5 [17]
3 years ago
13

Evelyn is working two summer jobs, making $18 per hour tutoring and making $9 per hour landscaping. In a given week, she can wor

k a maximum of 13 total hours and must earn a minimum of $180. If x represents the number of hours tutoring and y represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution. (This is on DeltaMath)
Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

One possible solution is 10 hours of tutoring and 3 hours of landscaping.

<h3>Inequality</h3>

Inequality is an expression used to show the non equal comparison of two or more numbers and variables.

Let x represents the number of hours tutoring and y represents the number of hours landscaping

From the question, we form the equations:

  • x + y ≤ 13   (1)
  • 18x + 9y > 180   (2)

A possible solution is (10, 3)

One possible solution is 10 hours of tutoring and 3 hours of landscaping.

Find out more on inequality at: brainly.com/question/22354790

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<h2><u>RECIPROCAL</u></h2>

<h3>ANSWER: </h3>
  • \boxed{ \bold{3 \: \: \:  or  \: \:  \:  \frac{3}{1} }}

<h3>EXPLANATION:</h3>

As we can see above, it's clear that 3 and 1/3 are reciprocals of each other.

And we can find the reciprocal of 1/3 by forming a fraction and to multiply the numerator and denominator by 3.

  • \\ \large  \tt \:  \frac{1 \times 3}{ \frac{1}{3} \times 3 }  =  \bold{ \frac{3}{1}  = 3} \\ \\

Hence, 3/1 or 3 is the correct answer.

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