I don't know what the "six-step method" is supposed to be, so I'll just demonstrate the typical method for this problem.
Let <em>x</em> be the amount (in gal) of the 50% antifreeze solution that is required. The new solution will then have a total volume of (<em>x</em> + 60) gal.
Each gal of the 50% solution used contributes 0.5 gal of antifreeze. Similarly, each gal of the 30% solution contributes 0.3 gal of antifreeze. So the new solution will contain (0.5 <em>x</em> + 0.3 * 60) gal = (0.5 <em>x</em> + 18) gal of antifreeze.
We want the concentration of antifreeze to be 40% in the new solution, so we need to have
(0.5 <em>x</em> + 18) / (<em>x</em> + 60) = 0.4
Solve for <em>x</em> :
0.5 <em>x</em> + 18 = 0.4 (<em>x</em> + 60)
0.5 <em>x</em> + 18 = 0.4 <em>x</em> + 24
0.5 <em>x</em> - 0.4 <em>x</em> = 24 - 18
0.1 <em>x</em> = 6
<em>x</em> = 6/0.1 = 60 gal
Answer:
by 3% percent
Step-by-step explanation:
i hope this helps ._.
Answer:
I'm pretty sure it is the second one
Step-by-step explanation:
Answer:
The length of the third piece of the ramp is;
D. 9.24 feet
Step-by-step explanation:
The given parameters are;
The height of the ramp = 8 feet
The angle between the piece that forms height and the base = 90°
The angle formed by the third piece connecting the height of the ramp to the furthest point and the 8 foot piece = 30°
Let 'y' represent the 8-foot piece forming the height, and let 'r' represent the third piece, by trigonometric ratio, we have;
Therefore, we get;
The length of the third piece, r ≈ 9.24 feet
Answer:
3/12 is when the hen laid eggs so you must simplify to get 1/4 as answer
the second one is easy as well. it later layed 4 eggs 6/12 times so that simplifies to ½. ½ as a percent is 50%
