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3 years ago

What is 1/3 into a decimal?

Mathematics

2 answers:

Gre4nikov [31]3 years ago

5 0

Answer:

$\frac{1}{3}$ as a decimal is 0. $\frac{}{3}$ .

Step-by-step explanation:

First: Answer the question: How do you convert a fraction to a decimal.

To convert a fraction to a decimal, divide the numerator by the denominator. Our numerator - in this case - is 1. And our denominator is 3. So, let's divide 1 by 3.

1 ÷ 3 = 0.333333333333333333333333333333........................

I put a 24-period ellipsis to indicate that the 3s in this decimal go on forever and ever. This decimal is what math calls a 'repeating decimal'. So, instead of spending the rest of you life writing the number 3, you can just put a bar over the 3 to indicate that it's a repeating decimal: 0. $\frac{}{3}$

Thank you for reading [and for these points]!

Topic: Quantity Conversions

qaws [65]3 years ago

5 0

0.3333333 it repeats .

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Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short-ter

galina1969 [7]

Answer:

Short-Term investment: 5000$

Intermediate-Term investment: 65000$

Long-Term investment: 30000$

Step-by-step explanation:

To construct our first equation lets define sort-term bond investment as x, long-term investment as y.

So the equation is:

$x*0,04+(100000-x-y)*0,05+y*0,06=5250$

From the equation it is found that:

$y=25000+x$

Instead of y, if we put 25000+x the equation will be as following:

$x*0,04+75000*0,05+(25000+x)*0,06=5250$

From the equation it is found that:

$x=5000$

Short-Term investment is 5000$

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3 years ago

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zmey [24]

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3 years ago

6=m/8 what does m equal

sp2606 [1]

Answer:

m = 48

Step-by-step explanation:

6=m/8

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3 years ago

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3 years ago

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

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3 years ago