I guess the chef is making the mixture for the sheriff... Let <em>x</em> be the amount of dressing with 5% vinegar that is required, and <em>y</em> the amount of 15% vinegar dressing (both amounts in mL).
The sheriff wants 390 mL of the mixed dressing, so that
<em>x</em> + <em>y</em> = 390
<em>x</em> mL of the 5% dressing contains 0.05<em>x</em> mL of vinegar, while <em>y</em> mL of the 15% dressing contains 0.15<em>y</em> mL of vinegar. The resulting mixture should have a concentration of 9% vinegar, so that it contains 0.09 (390 mL) = 35.1 mL of vinegar. This means
0.05<em>x</em> + 0.15<em>y</em> = 35.1
Solve for <em>x</em> and <em>y</em> :
<em>y</em> = 390 - <em>x</em>
0.05<em>x</em> + 0.15 (390 - <em>x</em>) = 35.1
0.05<em>x</em> + 58.5 - 0.15<em>x</em> = 35.1
23.4 = 0.10<em>x</em>
<em>x</em> = 234
<em>y</em> = 156
14 + -3 = 11 because 14 is the larger number meaning we keep it positive since the 14 was positive.
The answer is the second choice
Answer:
Enjoy, Glad i could help
Step-by-step explanation:
Answer: Archimedes go to sleep at 8.32 metres away from the rock.
Step-by-step explanation:
Given that the rock beside which he slept was 5 meters tall
Height h = 5m
Angle Ø = 31 degree
To get distance x away from the rock, we will use trigonometry function. SohCahToa
TanØ = opposite/adjacent
Tan 31 = 5/x
x = 5/tan31
x = 8.32m
