Answer:112
Step-by-step explanation: 10 times ten = 100
4 times 6 = 24
24 divided by 2= 12
100+12 = 112
Answer:
D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
The given triangle has vertices at R(3,4), S(1,1), and T(5,1)
Translating the the vertices down by 2 units, we apply the rule;
Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:
Therefore the correct choice is D.
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:
A Square plus B square equals
Step-by-step explanation:
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