The difference between the maple and oak trees is the difference
between [tex]28\frac{2}{6}[/tex] and ([tex]11\frac{3}{6}[/tex] + [tex]7\frac{5}{6}[/tex] ), which is 9 yards.
Response:
The distance between the maple tree and the oak tree is option B.
B. 9 yards
Which methods can be used to determine the distances on the line diagram?
The given parameters are;
Start → Maple tree → Oak tree → Pine tree → End
The distance from the start to the maple tree = 5 yards
The distance from the maple tree to the end = [tex]\mathbf{28\frac{2}{6}}[/tex] yards
Distance from the oak tree to the pine tree = [tex]11\frac{3}{6}[/tex] yards
Distance from the pine tree to the end = [tex]\mathbf{7\frac{5}{6}}[/tex] yards
Required:
The distance between the maple tree and the oak tree
Solution;
From the maple to the end, d is given as follows;
d = Maple tree to the end - Distance from the oak tree to the end
Oak to the end = Oak to pine + Pine to end
Therefore;
[tex]Oak \ to \ the \ end = 11\frac{3}{6} + 7\frac{5}{6} = 19\frac{1}{3}[/tex]
Which gives;
[tex]Maple \ to \ the \ oak \ tree = 28\frac{2}{6}- 19\frac{1}{3} = 9[/tex]
The distance from the maple to the oak tree = 9 yards
The correct option is; B. 9 yards
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