Answer:
11.49
Step-by-step explanation:
If A=8
And C=14 then
The answer is: [C]: " ⁷/₆ " .
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Note:
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(5/3) - (1/2) = ? ;
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The LCD (lowest common denominator) of "2 and 3" is "6" ;
So we need to rewrite EACH fraction in the problem as a fraction with "6" in the denominator ;
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(5/3) = (?/6) ? ; (6÷3=2) ; (5/3) = (5*2)/(3*2) = 10/6 ;
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(1/2) = (?/6) ? ; (6÷2=3) ; (1/2) = (1*3)/(2*3) = 3/6 ;
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Rewrite the problem: " (5/3) - (1/2) " ; as:
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10/6 - 3/6 ;
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10/6 - 3/6 = (10 - 3) / 6 = (7/6) = 1 ⅙ .
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The answer is: " ⁷/₆ " ; or, write as: " 1 ⅙ " ; which corresponds to:
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Answer choice: [C]: " ⁷/₆ " .
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Answer:
(0, -4)
Step-by-step explanation:
I don't quite know how to explain it, but I was taught that the number in the equation that doesn't have a variable, in this case -4, is the y-intercept. The order pair is (0, -4) because a y-intercept is where the line crosses the y-axis and the y-axis is located on the 0 of the x-axis.
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
we have
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
the answer is
