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:
y x (2x +y) x (7x +y)
Step-by-step explanation:
14x^2y + 9xy^2 +y^3
(Factor the expression)
y x (14x^2 +9xy +y^2)
(Rewrite the expression)
y x (14x^2 + 7xy +2xy +y^2)
(Factor the expression)
y x (7x x(2x +y) + y x (2x +y) )
(Factor the expression)
y x (2x +y) x (7x +y)
:))
Your formula for this is
and
. Get everything on one side of the equals sign, set it equal to 0 and factor. When you do this you get (x-3)(x+27). The Zero Product Property rule tells us that either x-3 = 0 or x+27 = 0 and that x = 3 and -27. The only thing in math that will NEVER be negative besides time is distance/length, therefore, x cannot be 27 and has to be 3.
Answer:
Step-by-step explanation:
hope this helps
brainliest appreciated
good luck! have a nice day!
The quotients are equal because they both go in the same number of times. The second pair of quotients just have an extra 0 at the end which just changes the place value of the number.
