Step-by-step explanation:
1. Ratio(White to black) = 12 / [52 - 12]
Ratio(White to black) = 12 / [40]
Ratio(White to black) = 3 / 10 = 3:10
2. Ratio(Blue triangle to all) = 5 / [5+80]
Ratio(Blue triangle to all) = 5 / [85]
Ratio(Blue triangle to all) = 1 / 17 = 1:17
3. Ratio(Circle to all) = 76 / [22+76]
Ratio(Blue triangle to all) = 76 / [98]
Ratio(Blue triangle to all) = 38 / 49 = 38:49
4. Ratio(Yellow triangle to blue) = 18 / 14
Ratio(Yellow triangle to blue) = 9 / 7 = 9:7
5. Ratio(Yellow triangle to blue) = 42 / 6
Ratio(Yellow triangle to blue) = 7 / 1 = 7:1
6.Ratio(Boys to all) = 63 / [27 + 63]
Ratio(Boys to all) = 63 / 90
Ratio(Boys to all) = 7 / 9 = 7:9
<h3><u>
Answer:</u></h3>
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<h3><u>
Step-by-step explanation:</u></h3>
You could solve this problem by either: Factoring or by using the Quadratic Formula.
SOLVING BY FACTORING STEPS
<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>
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<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>
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<em>STEP 3: </em><em>Simplify each term.</em>
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<em>STEP 4: </em><em>Simplify by adding terms.</em>
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<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>
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<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>
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SOLVE BY USING THE QUADRATIC FORMULA STEPS
<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>
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<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>
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<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>
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The fraction of the fence completed in one hour at a rate of
of the
fence in
hours is
.
<h3>How can the fraction completed in one hour be found?</h3>
The fraction of the fence completed in
of an hour = 
Required:
The fraction of the fence the student completes per hour;
Solution;
The time
of the fence is completed =
of an hour
Therefore;

The fraction of the fence completed per hour = 
Learn more about fractions here:
brainly.com/question/21339546