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:
x = 22.68
Step-by-step explanation:
82.24 = -8.48 + 4x
82.24 + 8.48 = 4x
4x = 90.72
x = 22.68
Answer:
31.4 yards
Step-by-step explanation:
Radius (R) = d / 2
R = 10 / 2 = 5 yards
Circumference (C) = 2 π r
C = 2 * 3.14 * 5 yards
C = 31.4 yards
Answer:
Hello! answer: x = 31
Step-by-step explanation:
This whole thing Will equal 360 we can subtract that by 112 and another 112 because there are two because they are vertical angles so 112 + 112 = 224 360 - 224 = 136 now we divide by 2 since those last two angles will have the same measure 136 ÷ 2 = 68 so now we just have to find out what multiplied by 2 plus 6 = 68 so 2 × 31 = 62 and 62 + 6 = 68 so x = 31 hope that helps! and I showed a visual for you so hopefully this makes more sense!
Answer:
-12
Step-by-step explanation:
f(-3)= -(-3)2 + 6(-3)
= -(-6) -18
= 6 - 18
= - 12
