Place value is the value individual digit has in its location:
in order from higher to lower value, there is thousands, hundreds, tens, and
ones.
When you divide by 10, you are affecting (only once) every digit from its current
place value to the right.
For example 1000 divided by 10 = 100, you have relocated every digit to the
right, making the zero dissolve (or better yet, divided by a hidden and in this
case unusable comma).
The answer is 0.3 (1/3.)
Proof?
f(0.3) = 18(0.3) + 8
f(0.3) = 6 + 8
f(0.3) = 14
14 = 14
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The surface area is A = 297.33
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125
1/2 x 5/8 = .3125
If you plug it into the calculator.