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Stels [109]
3 years ago
11

When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0
A mixed number is a number which contains both a whole number and a fraction.

<span>When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction is when there is a number before the decimal point of before the tenth value.</span>
anastassius [24]3 years ago
4 0

Explanation:

When a decimal is written in word form,

The equivalent form is a  mixed number not a fraction

Since mixed number always includes a whole part as well as fractional part but we know that fraction does not contain so .

Fraction only consists a numerator and a denominator.

For example,

We consider a number "10.25"

When we write it in a word form, first we change it in mixed fraction i.e

10.25\\\\=10\frac{25}{100}\\\\=10\frac{1}{4}

So, we get that there is a whole part i.e. 10 and remaining part i.e.    

\frac{1}{4}   is a fractional part.

But we write a fraction like this only i.e

\frac{5}{6}

is only fraction with no whole part .

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Which piecewise function is shown in the graph?
mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

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  • m - Slope
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By direct observation and by applying (1) we have the following <em>piecewise</em> function:

f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

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Helga [31]
Since a target is a circle and the bulls-eye is also a circle, the percent of the circle that is bulls-eye would be (Area of the bulls eye)/(Area of the target)

[tex] A = \pi r^{2} \\
d = 2r \\ r = \frac{d}{2} \\\\
\frac{ \pi ( \frac{d}{2})^{2}}{ \pi ( \frac{d}{2})^{2} }= \frac{ \pi ( \frac{3}{2})^{2}}{ \pi ( \frac{15}{2})^{2} }\\
\frac{ \pi ( \frac{3}{2})^{2} }{ \pi ( \frac{15}{2})^{2} } = \frac{ \pi (1.5)^{2} }{ \pi (7.5)^{2} } \\
\frac{ \pi (1.5)}{ \pi (7.5) } = \frac{ \pi (2.25)}{ \pi (56.25)}\\
\frac{ \pi (2.25)}{ \pi (56.25)}=\frac{2.25}{56.25}= 0.04 [tex]

So the bulls-eye takes up 4% of the target.
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