3 years ago

Solve each proportion, round to one decimal place. 4/9=x/20

Mathematics

1 answer:

guapka [62]3 years ago

3 0

In order to solve a proportion you need to cross multiply, so you would do:

4x20 and 9xX and you would get...

9x=80

then divide by nine to get

x=8.8888888889

which is technically 8.9

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The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

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$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

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