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Vika [28.1K]
3 years ago
6

Solve the inequality. 3/4x−2/3≤5/6 Choose the solution that is graphed on this number line.

Mathematics
1 answer:
Gemiola [76]3 years ago
5 0

Answer:

<em>x ≤ 2</em>

<em>(when graphed, closed circle on two, shaded to the left)</em>

Step-by-step explanation:

3/4 x - 2/3 ≤ 5/6

Add 2/3 to both sides:

3/4x ≤ 5/6 + 2/3

3/4x ≤ 3/2

Divide by 3/4 on both sides:

x ≤ 3/2 ÷ 3/4

x ≤ 2

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Answer:

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This problem can be solved by simply using the pythagorean theorem, as you stated at the beginning of the problem, which is: a^{2} +b^{2} =c^{2}

You are given the <em>a</em> side and <em>b</em> side that are needed for this equation, so it's all a matter of plugging in the information you have:

110^{2} +90^{2} =c^{2}

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3 years ago
Fraction word problems Your strip of paper represents one lap on a track. Three students ran a relay and took turns running equa
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Answer:

A quarter (\dfrac{1}{4}) of one lap of the track.

Step-by-step explanation:

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