The answer is: " -5/3 " ; or, write as: " -1 ⅔ " .
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Explanation:
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(-5/6) + (-5/6) = (-5/6) <span>− (5/6) ;
------> {since: "adding a negative" is the same a "subtracting a positive"} ;
------> </span> (-5/6) − (5/6) = (-5 − 5) / 6 ;
= -10/6 = (-10/2) / (6/2) ;
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= " -5/3 " ; or, write as: " -1 ⅔ " .
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Step-by-step explanation:
On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.
24 students forget their pencil out of 120 students.
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
