In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution
We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c
The answer is A. 4(n 3) - 6n
Since <span>x</span> contains the variable to solve for, move it to the left side of the equation by subtracting <span>x</span> from both sides.<span><span><span><span><span>2m</span><span><span>−n</span>x</span></span><span>−x</span></span>=4
</span></span>Since 2m does not contain the variable to solve for, move it to the right side of the equation by subtracting 2m from both sides.<span><span><span><span><span>n</span>x</span><span>-x</span></span>=<span><span><span>-2</span>m</span>+4</span></span></span>Factor <span>x</span> out of <span><span><span><span>−n</span>x</span><span>−x</span></span></span><span><span><span>x<span>(<span><span>−n</span><span>−1</span></span>)</span></span>=<span><span><span>−2</span>m</span>+4</span></span></span>Divide each term by <span><span><span>−n</span><span>−1</span></span><span><span>-n</span><span>-1</span></span></span> and simplify.<span>x=<span><span><span>2<span>(<span>m<span>−2</span></span>)/</span></span><span>n+1</span></span></span></span>
The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8
