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Georgia [21]
3 years ago
13

When a number is decreased by 24% of itself the result is 171. What is the number?

Mathematics
1 answer:
natta225 [31]3 years ago
6 0
Let
x----------> original number

we know that
if <span>a number is decreased by 24% of itself the result is 
x*(100%-24%)/100%------> x*0.76
171=0.76*x
x=171/0.76---------> 225

the answer is
the number is 225</span>
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<u>Step 1</u>

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6 2/5 = (6*5)+2) / 5 = 32/5

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<u>Step 2</u>

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3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =
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\displaystyle n^3-\frac{1}{n^{2}}

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<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

Substituting the given expression:

n^3-n^{-2}

Or, equivalently:

\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

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