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
Answer:
22.5
Step-by-step explanation:
i have gotten this question before so im for sure its 22.5
Answer:
r = √3v/π
Step-by-step explanation:
in order to make r the subject of formulae from
v = 1/3πr²
multiply through by 3
3(v) = 3 ( πr²/3)
3v = πr²
divide both sides by π
3v/π =πr²/π
3v/π= r²
in order to make r stand out we would do that by squaring both sides
r = √3v/π
Answer:
14
Step-by-step explanation:
Order of operations rules require that we do any work inside parentheses first. Thus,
–(31 + 2) + 72 – (–5)^2
becomes:
-33 + 72 - 25, or
14
Important: Please use " ^ " to denote exponentiation; (-5)2 is incorrect, whereas (-5)^2 or (-5)² is correct.
