14.29 * .0725 = 1.04
1.04 * 3 = 3.12
If line k is parallel to line m and we know that parallel lines have equal slopes
the slope of line m is 2/3
Answer:
Answer: It's relatively easy to find x in this problem. 4x+3y=12 means that the expression 3y needs to be 12 too, which gives us 12-6 or 6. That number divided by 4 is 2, so x=2! Congrats, you've found x!
Step-by-step explanation:
One way of solving this problem is to remove the parentheses all together and write the equation as 8x+6y = 54. Subtracting 54 from both sides would give us -8x + 6y = 18. The key point here is that when subtracting a negative number, we have to borrow one from our variable so instead our answer becomes (-8)x-6(y)=-54.
Let x be the amount of pure water (in mL) you need to add. The new mixture would have a total volume of 80+x mL. The solution you have contributes 0.95 mL of alcohol for each mL of solution, so that it currently contains 0.95*80 = 76 mL of alcohol. You want to the new mixture to have a concentration of 10%, so that
76 / (80 + x) = 0.1
==> 76 = 0.1(80 + x) = 8 + 0.1x
==> 68 = 0.1x
==> x = 680 mL