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3 years ago

What is 19/25 in a fraction or mixed number?

Mathematics

2 answers:

Luda [366]3 years ago

7 0

I think the answer is still 19/25. I believe that is as far as you can reduce it too.

True [87]3 years ago

6 0

19/25 is already a fraction, and you can't simplify it any more.

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

In-s [12.5K]

Answer:

Step-by-step explanation:

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

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

$\log(3y-2-2)+\log2=2\log(y)\qquad\text{use}\ \log_ab^n=n\log_ab\\\\\log(3y-4)+\log2=\log(y^2)\qquad\text{subtract}\ \log(y^2)\ \text{from both sides}\\\\\log(3y-4)+\log2-\log(y^2)=0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\ \text{and}\ \log_ab-\log_ac=\log_a\dfrac{b}{c}\\\\\log\dfrac{(3y-4)(2)}{y^2}=0\qquad\text{use}\ \log_ab=0\Rightarrow b=1\\\\\dfrac{(3y-4)(2)}{y^2}=1\iff y^2=(3y-4)(2)\\\\\text{Use the distributive property}\ a(b+c)=ab+ac$

$y^2=(3y)(2)+(-4)(2)\\\\y^2=6y-8\qquad\text{subtract}\ 6y\ \text{from both sides}\\\\y^2-6y=-8\qquad\text{add 8 to both sides}\\\\y^2-6y+8=0\\\\y^2-2y-4y+8=0\\\\y(y-2)-4(y-2)=0\\\\(y-2)(y-4)=0\iff y-2=0\ \vee\ y-4=0\\\\\boxed{y=2\ \vee\ y=4}\in D$

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

4 0

3 years ago

13/15 - 1/4 = Please help me

podryga [215]

13/15-1/4

=52/60-15/60

=52-15

______

=37/60

hope it helps..uu frnd

5 0

3 years ago

Read 2 more answers

Help help help help

gtnhenbr [62]

The answer is 4. 2x plus 7 is equal to 15. First you subtract 7 from both sides then divide by 2 to get the answer 4. Hope this helps!

4 0

3 years ago

Round 285.39154 to a specified place of the hundreths place

almond37 [142]

Rounding the number to the hundreds place, the answer would be 285.39.

Hope this helped!

Nate

5 0

3 years ago

Math 7a using number sense to solve equations

Anika [276]

Simple...

you have: $\frac{n}{3} =12
$

and

$\frac{n}{3} =-12$

To solve for.... $\frac{n}{3} =12$

Multiply to remove the denominator-->>

$3* \frac{n}{3} =12*3$

n=12*3

n=36

Then-->>>

$\frac{n}{3} =-12$

Do the same thing-->>

$3* \frac{n}{3} =-12*3$

n=-12*3

n=-36

Thus, your answer.

6 0

3 years ago