Ruth decides to use the method of proportions and similar triangles to find the height of a tree. She measures the length of the
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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:
Step-by-step explanation:
The standard form of a circle is written as such:
Where (h, k) is the center of the circle, and r is the radius.
We know that the center is (-7, 0), so we can plug that into the equation like this:
The radius is 3 * the square root of 3. To square this, we can multiply 3 squared and the square root of 3 squared:
So, your standard form equation is the following: