Find an equivalent fraction for the decimal number. In your final answer, include all of your work.

Mathematics

2 answers:

nataly862011 [7]3 years ago

4 0

66/100 or simplified = 33/50

scZoUnD [109]3 years ago

3 0

0.66= 66/100

two zeros because of the two numbers after the decimal point

66/100 - reduce by dividing by 2

66/2=33

100/2= 50

answer:

33/50

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Suppose that det(a) = a b c d e f g h i = 2 and find the determinant of the given matrix. a b c −4d −4e −4f a + g b + h c + i

zhuklara [117]

I'll go out on a limb and suppose you're given the matrix

$\mathbf A=\begin{bmatrix}a&b&c\\d&e&f\\g&h&i\end{bmatrix}$

and you're asked to find the determinant of $\mathbf B$ , where

$\mathbf B=\begin{bmatrix}a&b&c\\-4d&-4e&-4f\\a+g&b+h&c+i\end{bmatrix}$

and given that $\det\mathbf A=2$ .

There are two properties of the determinant that come into play here:

(1) Whenever a single row/column is scaled by a constant $k$ , then the determinant of the matrix is scaled by that same constant;

(2) Adding/subtracting rows does not change the value of the determinant.

Taken together, we have that

$\det\mathbf B=-4\det\mathbf A=-8$

5 0

3 years ago

Type the correct answer in each box

makvit [3.9K]

$\sqrt[c]{a^{b}} = a^{\frac{b}{c}}$