Write the improper fraction as a mixed number.

vestirme4
2021-03-07
Answered

Write the improper fraction as a mixed number.

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Ayesha Gomez

Answered 2021-03-08
Author has **104** answers

1:

Given fraction

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asked 2022-07-17

For $a,b,c>$ and $\frac{a}{1+a}+\frac{2b}{1+b}+\frac{3c}{1+c}\le 1$. Prove that

$a{b}^{2}{c}^{3}{d}^{5}\le \frac{1}{{10}^{11}}$

$\frac{a}{1+a}+\frac{2b}{1+b}+\frac{3c}{1+c}\le 1\leftrightarrow \frac{1}{1+a}+\frac{2}{1+b}+\frac{3}{1+c}\ge 5$

$=>\frac{1}{a+1}\ge 2-\frac{2}{1+b}+3-\frac{3}{1+b}=\frac{2b}{1+b}+\frac{3c}{1+c}$

$\ge 5\sqrt[5]{\frac{{b}^{2}}{(1+b{)}^{2}}\ast \frac{{c}^{3}}{(1+c{)}^{3}}}$

$\frac{1}{1+b}\ge \frac{a}{1+a}+\frac{b}{1+b}+\frac{3c}{1+c}\ge 5\sqrt[5]{\frac{a}{1+a}\ast \frac{b}{1+b}\ast \frac{{c}^{3}}{(1+c{)}^{3}}}$

$\frac{1}{1+c}\ge \frac{a}{1+a}+\frac{2b}{1+b}+\frac{2c}{1+c}\ge 5\sqrt[5]{\frac{a}{1+a}.\frac{{b}^{2}}{(1+b{)}^{2}}.\frac{{c}^{2}}{(1+c{)}^{2}}}$

$=>\frac{1}{1+a}\ast (\frac{1}{1+b}{)}^{2}\ast (\frac{1}{1+c}{)}^{3}\ge {5}^{6}\frac{a({b}^{2})({c}^{3})}{(1+a)}(1+b{)}^{2}{(1+c)}^{3}$

Seem wrong, fix for me

$a{b}^{2}{c}^{3}{d}^{5}\le \frac{1}{{10}^{11}}$

$\frac{a}{1+a}+\frac{2b}{1+b}+\frac{3c}{1+c}\le 1\leftrightarrow \frac{1}{1+a}+\frac{2}{1+b}+\frac{3}{1+c}\ge 5$

$=>\frac{1}{a+1}\ge 2-\frac{2}{1+b}+3-\frac{3}{1+b}=\frac{2b}{1+b}+\frac{3c}{1+c}$

$\ge 5\sqrt[5]{\frac{{b}^{2}}{(1+b{)}^{2}}\ast \frac{{c}^{3}}{(1+c{)}^{3}}}$

$\frac{1}{1+b}\ge \frac{a}{1+a}+\frac{b}{1+b}+\frac{3c}{1+c}\ge 5\sqrt[5]{\frac{a}{1+a}\ast \frac{b}{1+b}\ast \frac{{c}^{3}}{(1+c{)}^{3}}}$

$\frac{1}{1+c}\ge \frac{a}{1+a}+\frac{2b}{1+b}+\frac{2c}{1+c}\ge 5\sqrt[5]{\frac{a}{1+a}.\frac{{b}^{2}}{(1+b{)}^{2}}.\frac{{c}^{2}}{(1+c{)}^{2}}}$

$=>\frac{1}{1+a}\ast (\frac{1}{1+b}{)}^{2}\ast (\frac{1}{1+c}{)}^{3}\ge {5}^{6}\frac{a({b}^{2})({c}^{3})}{(1+a)}(1+b{)}^{2}{(1+c)}^{3}$

Seem wrong, fix for me

asked 2022-07-27

Find a formula for the linear function whose data is given in the table below.

$\begin{array}{|cccc|}\hline \text{Year, t}& 0& 3& 6\\ \text{Value of a computer, V}& 1500& 1290& 1080\\ \hline\end{array}$

$\begin{array}{|cccc|}\hline \text{Year, t}& 0& 3& 6\\ \text{Value of a computer, V}& 1500& 1290& 1080\\ \hline\end{array}$

asked 2021-02-13

1.After several tries of measuring, Lydia gets the results of 2.75, 2.76, 2.30 cm. She realized that the results of measurement is closest to the actual measurement which is 3.25. What is the implication of her measurements? Is it Accurate and precise?

2.I measured the length of cabinet 3 times. The results of my measurements are 3.44 m, 3.55 m, 3.47 m. Afterwards, I compared it to the results with each other. What did I was trying to find out? Is it precision?

2.I measured the length of cabinet 3 times. The results of my measurements are 3.44 m, 3.55 m, 3.47 m. Afterwards, I compared it to the results with each other. What did I was trying to find out? Is it precision?

asked 2022-02-04

How do you translate "$k}^{\frac{5}{6}$ " into a verbal expression?

asked 2021-08-16

A furniture store is offering a series discount of 25/10 on a dining room table with a list price of $5690. Find the net cost after the series discount. Use the method of calculating series separately.

answers $1991.50

$5547.75

$3840.75

$3698.50

answers $1991.50

$5547.75

$3840.75

$3698.50

asked 2021-11-28

If

$xy+6{e}^{y}=6e$

find the value of

y"

at the point where

$x=0$

find the value of

y"

at the point where

asked 2021-12-20

Turn 4/15 into a decimal, please.