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Tpy6a [65]
2 years ago
6

Jessica electricity bill costs $32.44 per month plus $1.34 per kilowatt hour. how many kilowatt hours can she use and keep her b

ill to no more than $87? enter as a whole number
Mathematics
1 answer:
Delicious77 [7]2 years ago
5 0
Jessica can use no more than 40 kilowatt hours.

To check this, we're going to start by subtracting the bill from 87 dollars.
87 - 32.44
This equals 54.56 dollars.

You then solve how many hours she can use by dividing.
32.44 \div 1.34
You get a really big answer like 40.7164... since it needs to be a whole number and not a fraction of a number, round down.
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For this case we have the following inequality: y < 3x + 1 < br/ >

What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.

The shaded region represents the solution of the system of equations.

For the point (0, 0) we have:

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0 < 0 + 1 < br / >

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Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.

Then, the points that are on the line, are not part of the solution because the sign is of less strict.

Hope I helped ~~Laurel

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2 years ago
Which is the graph of the linear inequality 2x – 3y &lt; 12? On a coordinate plane, a solid straight line has a positive slope a
RoseWind [281]

Answer:

A dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything to the right of the line is shaded.

Step-by-step explanation:

To graph the solution set of the inequality 2x - 3y < 12, first plot the dashed line 2x - 3y = 12 (dashed because the inequality has sign < without notion "or equal to"). This line passes through the points (0,-4) and (3,-2) (their coordinates satisfy the equation of the line). this line has positive slope because

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and the slope of the line is 2/3.

Now, identify where the origin is (in the region or outside the region). Substitute (0,0) into the inequality:

2\cdot 0-3\cdot 0=0

This means coordinates of the origin satisfy the inequality, so origin belongs to the shaded region. Thus, shade that part which contains origin.

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$5735

The 11% statement is extra information.

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