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3 years ago

What is the percent of decrease from 100 to 45?

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

Answer:

percentage decrease is always calculated like this

((orignal - new ) / original ) 100

So in this case

100-45= 55

55/100 is 11/20

11/20 * 100/1 is well simplified is 55

so 55%

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3 years ago

Jerry was using matrices to solve the system of three equations. He has shown all his steps. Did he make a mistake if so in what

melomori [17]

There are several ways to solve a system of equation; one of these ways is the use of matrix.

<em>Jerry made a mistake at step 2</em>

From the attachment, the step 1 is represented as:

$\mathbf{\frac 12R_1 \left[\begin{array}{cccc}1&1&1&0\\5&3&-2&-4\\3&2&1&1\end{array}\right] }$

The equation in step 2 is given as:

$\mathbf{R_2 = 5R_1 - R_2}$

This means that:

We subtract the elements of row 2 from the elements of row 1, multiplied by 5

So, we have:

$\mathbf{R_2 = 5\left[\begin{array}{cccc}1&1&1&0\end{array}\right] } - \left[\begin{array}{cccc}5&3&-2&-4\end{array}\right] }$

Expand

$\mathbf{R_2 = \left[\begin{array}{cccc}5&5&5&0\end{array}\right] } - \left[\begin{array}{cccc}5&3&-2&-4\end{array}\right] }$

Subtract corresponding cells

$\mathbf{R_2 = \left[\begin{array}{cccc}0&2&7&4\end{array}\right] }$

So, the new row 2 elements should be:

$\mathbf{ \left[\begin{array}{cccc}0&2&7&4\end{array}\right] }$

However, the row 2 elements of Jerry's steps are:

$\mathbf{R_2 = \left[\begin{array}{cccc}0&-2&-7&-4\end{array}\right] }$

This means that:

Jerry made a mistake; and the mistake is at step 2