The system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
<h3>
Which system of equations represents this situation?</h3>
Let's define the variables:
- v = number of hours playing video games.
- h = number of hours spent on homework.
The maximum time that you can spend on both activities is 8 hours, then:
v + h ≤ 8
You want to spend less than 2 hours on video games, so:
v < 2
You want to spend at least, 1.5 hours on homework, so:
h ≥ 1.5
Then the system of inequalities is:
v + h ≤ 8
v < 2
h ≥ 1.5
If you want to learn more about inequalities:
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B)OPTION B only 1 is your answer.
Answer:
-2
Step-by-step explanation:
Answer:
The number that belongs <em>in</em> the green box is equal to 909.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[<em>Right Triangles Only</em>] Pythagorean Theorem:

- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 30
<em>b</em> = 3
<em>c</em> = <em>x</em>
<em />
<u>Step 2: Find </u><u><em>x</em></u>
Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:
- [Pythagorean Theorem] Square root both sides [Equality Property]:

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:
- [Equation] <em>Substitute</em> in variables:

- <em>Evaluate</em>:

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.
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Learn more about Trigonometry: brainly.com/question/27707750
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Topic: Trigonometry