The answer to the question is a
The unknown angles are in a ratio of 7 to 13.
Let 7x represent the smaller measure.Then, 13x represents the larger measure.
7x + 13x + 140 = 180
20x + 140 = 180
20x = 40
x = 2
7x = 7 * 2 = 14
13x = 13 * 2 = 26
The measures are 14 degree and 26 degrees.
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 + 8) / 4 = (x - 3) / 2 | *4
x + 8 = 2 * (x - 3)
x + 8 = 2 * x - 6
8 = x - 6
14 = x
The number is 14.
(14 + 8) / 4 = (14 - 3) / 2
22 / 4 = 11 / 2
5.5 = 5.5
9514 1404 393
Answer:
C. 2×5²
Step-by-step explanation:
The prime factors of 50 are ...
50 = 2×5×5 = 2×5² . . . . . matches choice C
