For this case we must rewrite the following expression as a fraction:

So, we have:

We divide numerator and denominator by 5:

Thus, the simplified expression is:

Answer:

We know that
The mixture in Tank A is 5/(5+10) = 1/3 pure alcohol.
The mixture in Tank B is 3/(3+12) = 1/5 pure alcohol.
We want to combine these to make a mixture that is 25% = 1/4 pure alcohol.
Let
x------------------> the volume in gallons of solution taken from Tank A.
y------------------>the volume in gallons of solution taken from Tank B
Then
the volume taken from Tank B will be y=(8 -x)
remember that we are making a total of 8 gallons of solutions.
The alcohol content of the mixture is(1/3)x +(1/5)(8 -x) = (1/4)*85x + 3(8 -x) = 30 ----------> 5x+24-3x=30----------> 5x-3x=30-24
2x = 6 ----------------> x=3
y=8-x--------> y=8-3-----> y=5
the answer is
3 gallons should be taken from Tank A;
5 gallons should be taken from Tank B
Answer :
Brian has $49 left.
Step by step explanation :
Step 1 : Find how much money Brian spends on rent and food.
First question we should be asking is what is 3/5 of 735?
Let's find that.
* 
= 
= 
= 441
We know Brian spends $441 on rent. Now we find how much he spends on food.
= 
= 
= 245
Brian spends $245 on food.
Step 2 : Add what he spends on rent and food together.
$441 + $245 = $686
Step 3 : To find out how much money Brian has left, we subtract $686 from $735.
$735 - $686 = $49
Conclusion : Brian has $49 left.
Hope this helps, please mark brainliest if possible. Have a nice day.
Answer:
x ≤ -3/2 or x≥1/3
Step-by-step explanation:
-6x^2-7x+3≤0
-(3x-1)(2x+3)≤0
*-1 ≤ *-1
x ≤ -3/2 or x≥1/3
Answer: B
Step-by-step explanation:
These are vertical angles, so x+97=2x+32, meaning x=65.
So, the measure of angle 1 = 65 + 97 = 162 degrees