There are 12 appetizers; 4 are soups, 6 contain meat, and 2 do not. In how

2 answers:

7 0

72 different orders, each soup can have a different meat and other* so take 4* 6* 3 because that is how many different combanations you can do

nalin [4]3 years ago

5 0

There can be two orders because after that you wouldn't have 3 different appetizers, only two.

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In the park, Bryce hikes 4 1/2 mi and Jessie hikes 6 7/16 mi. How much farther does Jessie hike than Bryce? Express your answer

soldier1979 [14.2K]

is simply the difference of both amounts, but firstly let's convert the mixed fractions to improper, and subtract.

$\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}
\\\\\\
\stackrel{mixed}{6\frac{7}{16}}\implies \cfrac{6\cdot 16+7}{16}\implies \stackrel{improper}{\cfrac{103}{16}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\stackrel{Jessie}{\cfrac{103}{16}}-\stackrel{Bryce}{\cfrac{9}{2}}\implies \stackrel{\textit{our LCD is 16}}{\cfrac{(1)103-(8)9}{16}}\implies \cfrac{103-72}{16}\implies \cfrac{31}{16}\implies 1\frac{15}{16}$