2 2/3 divided by 4 help

Mathematics

2 answers:

mixer [17]3 years ago

4 0

Answer:

$\frac {2} {3}$ is the answer

Step-by-step explanation:

$\frac {8} {3}$ ÷ $\frac {4} {1}$ can be turned into $\frac {8} {3}$ · $\frac {1} {4}$ using the KCF method. now we solve:

8\4=2

$\frac {2} {3}$ is the answer

DerKrebs [107]3 years ago

3 0

2/3 is the correct answer .

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Log(x-2)+log2=2logy<br>log(x-3y+3)=0

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Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}\log(x-2)+\log2=2\log y&(1)\\\log(x-3y+3)=0&(2)\end{array}\right$

$===========================\\\text{DOMAIN:}\\\\x-2>0\to x>2\\y>0\\x-3y+3>0\to x-3y>-3\\=====================\\\\\text{We know:}\ \log_ab=c\iff a^c=b,\\\\\text{therefore}\ \log_ab=0\iff a^0=b\to b=1\\\\\text{From this we have}\\\\\log(x-3y+3)=0\iff x-3y+3=1\qquad\text{add}\ 3y\ \text{to both sides}\\\\x+3=3y+1\qquad\text{subtract 3 from both isdes}\\\\\boxed{x=3y-2}\qquad(*)\\\\\text{Substitute it to (1)}$

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$\text{Put the values of}\ y\ \text{to }\ (*):\\\\\text{for}\ y=2:\\\\x=3(2)-2\\\\x=6-2\\\\\boxed{x=4}\in D\\\\\text{for}\ y=4:\\\\x=3(4)-2\\\\x=12-2\\\\\boxed{x=10}\in D$