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Mathematics

2 answers:

Leni [432]3 years ago

5 0

Answer:

2. 91/12 or 7+7/12

3. 3+14/27

4. 35 / 192

my answers were all wrong (idk how) the working isnt there, but these are right 100%, when you divide fractions you multiply by the reciprocal

leonid [27]3 years ago

5 0

Answer: 7 ,95/27 ,15/62

Step-by-step explanation:

2) 12/3 / 4/7

12/3 * 7/4

84/12

3) 19/6 / 9/10

19/6 * 10/9

190/54

95/27

4) 5/8 / 31/12

5/8 * 12/31

60/248

15/62

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Write an equation for the following: y varies directly with x and z. Find K when x=2, y=12 and z=5.

olga_2 [115]

$\qquad \qquad \textit{direct joint variation} \\\\ \textit{\underline{y} varies directly with \underline{x} and \underline{z}}~\hspace{8.5em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xz~\hfill } \\\\ \textit{\underline{y} varies directly with \underline{x}, }w^2\textit{ and }z^5~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}xw^2z^5~\hfill } \\\\[-0.35em] ~\dotfill$

$y = kxz\qquad \textit{we know that} \begin{cases} x=2\\ y=12\\ z=5 \end{cases}\implies 12=k(2)(5) \\\\\\ \cfrac{12}{(2)(5)}=k\implies \cfrac{6}{5}=k~\hspace{10em}\boxed{y=\cfrac{6}{5}xz}$