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timofeeve [1]
3 years ago
11

67/6 as a mixed number

Mathematics
2 answers:
Oksana_A [137]3 years ago
6 0
It will be 11 and 1/6
Norma-Jean [14]3 years ago
4 0
67/6 as a mixed number is 11 1/6 since 6 goes into 67 11 times and the remainder is one.
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Find the value of x so that the line passing through the points will have the given slope: (x,6) and (10,-3) with a slope of -3/
Lana71 [14]
(x,6) \\
x_1=x \\
y_1=6 \\ \\
(10,-3) \\
x_2=10 \\ y_2=-3 \\ \\
\hbox{the slope: } m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-6}{10-x}=\frac{-9}{10-x} \\ \\
m=-\frac{3}{2} \\
\Downarrow \\
-\frac{3}{2}=\frac{-9}{10-x} \\
-\frac{3}{2}(10-x)=-9 \\
10-x=-9 \times (-\frac{2}{3}) \\
10-x=3 \times 2 \\
10-x=6 \\
-x=6-10 \\
-x=-4 \\
\boxed{x=4}
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