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3 years ago

Find the percent change from 30 to 6

Mathematics

1 answer:

nadezda [96]3 years ago

8 0

Answer:

-80.00%

Step-by-step explanation:

1) Find the difference between 30 and 6 as a number.

2) Divide the result from Step 1 by the starting number 30.

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

The three steps above can be made into a formula. Thus, to find the percent change from 30 to 6, we use this formula:

((Y-X)/X)*100 = Percent Change

X is the starting number 30, and Y is the ending number 6 that it changed to. When we enter these numbers into the formula, we get:

((6-30)/30)*100 = -80.00%

Thus, the answer to the question "What is the Percent Change from 30 to 6?" is:

-80.00%

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If x=2 ,y=12 and x=4,y=3,find n and k if y is inversely proportional to x and k is a constant

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2 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

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Andre45 [30]

Answer:

Step-by-step explanation:

What is the solution to this equation?

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-------------------

check

6 * ( 25 - 5) = 4 * 25 + 20

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the answer is good

3 0

2 years ago

Read 2 more answers