CardinalMathmagician

P.S Sorry you had to deal with that complete jerk and I hope I helped answer your question! 

So you start out with 6 pints of 60% salt and 40% water. That means you start out with 60% salt mixture (duh). As you add one pint of water, the mixture becomes 6 pints of 60% salt and 1 pint of 100% water changing the mixture to 7 pints of solutions with around 0.52% salt and about 8% less salt. This can be found through averaging the 6 pints of 60% salt (also know as 6 pints 40% water) and the 1 pint of (100%) water: $x = {{(0.40)+(0.40)+(0.40)+(0.40)+(0.40)+(0.40)+(1.00)} \over 7}$.

This x value gets the percentage of water of the new liquid, (This is due to changing the salt mixture percentages, of 60% into water mixture percentages, of 40%, to be able to average the liquids). Subtract 100 by the x value and you get the percentage of salt in the solvant, 52%.

** The (0.40) values are the amount of water percentage in a pint of 60% salt.

After this you keep adding pints of water and calucalting to get get closer to a mixture which is 36% salt (which is 24% less the origninal 6 pints 60% salt mixture.)

Maybe Answer: If 1 pint of water made the mixture 8% less salt to 52% salt than 3 pints of water would most likely make the mixture 36% salt.

When dividing two negatives, you can already know that the answer is going to be positive. So chaning both fractions to be positive would not affect the answer. The second fraction -2 2/3 is a mixed fraction and is difficult to do division with so turning it into -8/3 (it's equal improper fraction) is going to be helpful. Then using the knowledge that dividing by a fraction is equal to mutlipying by it's reciprocal (the fraction flipped upside down) you can finish this question. (5/8)/(8/3)=(5/8)*(3/8) . Multipy fractions is just mutiply the top by the other fractions top and the bottom by the other fractions bottom which will equal 15/64. I hope this helped!

9x over 2 or 9x/2 is an improper fraction. If you wish to simply it to a mixed fraction you must find how many 2 can fit inside 9x. This can be done by multipy 2 by numbers up from one until you have a number that is just less than 9.

2*x=2x (not close enough)

2*2x=4x 

2*3x=6x

2*4x=8x (just right)

2*5=10x (too large)

After you find out that 2 goes into 9 four times (without going to large). You can see that their is still a one after you take 4 out of 9x/2, which looks like 1x/2 (you can just leave it like this) and add it to how many times 2 went into 9. 

 So you can say 9x over 2 is 4 1/2x which is also equal to 4.5x in decimal form.

Hey what's up!

What a savage answer

Thanks CPhil! 

Instead of most cases where you are given the radius to find the circle's circumference and area, you have to work backwords when given the ciircumference. If the circumference of a circle is the radius times two, the diameter, mutiplied by pi, ~3.14. 

1. If the circles circumference 522 millimeters and you need to find the diameter then divide 522 mm by π. 
2. This will approximately equal 166.157760588 mm or more accurately 522/π mm.

• This works as the formula to equal the circumference of any circle is Circumference=(Radius*2)*π. Dividing by π would leave you with Circumference/π=diameter. Due to the (Radius*2) is equal to the diameter, there was no need to find the radius in this prombelm.

I hope this helped answer your question!

Well you start like all algebraic expressions by getting the variable on one side, (x in this case) and the constant (2 and -4) on the other side.

1. The first step would be to subtract 5x by both sides, which would change the equation to "2>2x-4".
2. The next step would be to add 4 to both sides changing the equation to look like "6>2x".
3. Finnaly divide both sides by two to get the variable x on it's own, coming out to equal "3>x".

•  Note the greater than sign ">" does not have to be flipped as x was not negative when dividing to get "x" .

I hope this helped and this was my first answer!