11 months ago

Find the absolute value of -0.02

Mathematics

1 answer:

tatuchka [14]11 months ago

5 0

Answer: 0.02
Explanation: the absolute value of anything is the distance between the given number and zero.

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8(1 - 5x) + 5 = -2 + 5x

andriy [413]

X=1/3
Distribute 8 through the parentheses
8-40x+5=-2+5x
Add the numbers
13-40x+5=-2+5x

Answer: x=1/3

7 0

2 years ago

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]

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

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