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Kazeer [188]
3 years ago
13

Jeanne babysits for $6 per hour she also works as a reading tutor for $10 per hour she is only allowed to work 20 hours per week

this week her goal is to make at least $75. Use a system of inequalities to model the scenario above let x represent babysitting hours and y represent tutoring hours.

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

see the explanation

Step-by-step explanation:

Let

x------> represent babysitting hours

y ------> represent tutoring hours

we now that

The system of inequalities that model the scenario is

x+y \leq20 -----> inequality A

6x+10y \geq 75 -----> inequality B

The solution is the shaded area between the positive values of x and y

see the attached figure

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While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters
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An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

  • Less than (<).
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For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:

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In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.

Read more on inequality here: brainly.com/question/6666926

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