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Mariulka [41]
3 years ago
12

0.145 as a fraction or a mixed number.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0

we can convert any decimal to a fraction, by simply <u>using as many zeros at the bottom as there are decimals, and losing the dot atop</u>, now let's do so, notice we have 3 decimals, so we'll use 3 zeros.


\bf 0.\underline{145}\implies \cfrac{0145}{1\underline{000}}\implies \stackrel{simplified}{\cfrac{29}{200}}

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Length of the rectangle is 51 inches

<u>Solution:</u>

Given that

Length of the rectangle in 34 miles less than 5 times its width

Area of rectangle = 867 square inches

Need to determine length of the rectangle.

Let assume width of the rectangle be represented by variable x.

So 5 times width of the rectangle =5x

34 inches less than 5 times width of the rectangle = 5x – 34

As Length of the rectangle in 34 miles less than 5 times its width

=> Length of the rectangle = 5x – 34

<em><u>The formula for rectangle is given as:</u></em>

\text { area of rectangle }=length \times width

As given that Area of rectangle = 867 square inches

\begin{array}{l}{=>867=(5 x-34) \times(x)} \\\\ {=>5 x^{2}-34 x-867=0}\end{array}

On solving quadratic equation by using quadratic formula

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

In our case a = 5, b = -34 and c = -867

On substituting value of a, b and c in quadratic formula we get

\begin{array}{l}{x=\frac{-(-34) \pm \sqrt{(-34)^{2}-4 \times 5 \times(-867)}}{2 \times 5}} \\\\ {=>x=\frac{34 \pm \sqrt{18496}}{10}=\frac{34+136}{10}} \\\\ {=>x=\frac{34+136}{10}=17 \text { or } x=\frac{34-136}{10}=-10.2}\end{array}

Since x represents width, it cannot be negative, so x = 17

Length of the rectangle = 5x – 34 = 5(17) – 34 = 51

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<h3>Answer: Choice A. 82 websites per year</h3>

=============================================================

How I got that answer:

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Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

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You could use the slope formula to get the job done. This is because the slope represents the rise over run

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