Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,
Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or
Answer: he should add 3 gallons of pure antifreeze.
Answer:
The correct answer is the last option.
Step-by-step explanation:
When you have a fraction with complex numbers, the first step to simplify is to multiply up and down the conjugate of the denominator, this will eliminate the complex part of the denominator, and in this way you can separate the expression in its real and complex part.
For the expression:
The denominator conjugate is 4 + 2i
When multiplied, the denominator is:
1/3 + 2/9 equals 3/9
3/9 is then simplified to 1/3 :)
Answer:
(-4/3)y
Step-by-step explanation:
The x cancels out, leaving:
-4y/3 or (-4/3)y
