Step-by-step explanation:
volume of cylinder =π r²h
= 3.14 × 17×17×16
= 14519.31 inches square .
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Answer:
Step-by-step explanation:
1 and 3 are 128
4 is 52
2 and 6 are 136
5 is 44
7 and 10 are 74
9 and 8 is 106
13 and 18 equals 52
14 and 17 is 128
12 and 15 is 44
11 and 16 is 136.
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
The temp decreased by 2.25 degrees fahrenheit from the beginning to the end of the 3- hour period.
Answer:
The cost per duck is $5.00 and $8.00 for chickens
Step-by-step explanation:
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
9d = 165 - 15c
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5