Answer:
The answer is 3.703 repeating
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Step-by-step explanation:
Answer:
the sale price of the video game after discount is 25.29
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Step-by-step explanation:
Answer:
The locus is (x + 6)^2 + (y - 9)^2 = 100
Step-by-step explanation:
This is a circle with center (-6,9) and radius 10 units.
The general equation of a circle with center (a, b) and radius r is
(x - a)^2 + (y - b)^2 = r^2 so we insert the given values into this general equation to get the locus.
Let <em>f</em> and <em>s</em> denote the amounts of the <u>f</u>irst and <u>s</u>econd brands that the chef is going to use.
She wants to end up with 290 mL, so
<em>f</em> + <em>s</em> = 290
Each mL of the first brand contains 0.08 mL of vinegar, and each mL of the second contains 0.13 mL of vinegar. The final mixture should have a concentration of 12% vinegar, so that it contains 0.12 • 290 mL = 34.8 mL of vinegar, and
0.08<em>f</em> + 0.13<em>s</em> = 34.8
Solve for <em>f</em> and <em>s</em> :
<em>f</em> + <em>s</em> = 290 → <em>s</em> = 290 - <em>f</em>
0.08<em>f</em> + 0.13 (290 - <em>f </em>) = 34.8
0.08<em>f</em> + 37.7 - 0.13<em>f</em> = 34.8
0.05<em>f</em> = 2.9
<em>f</em> = 58
<em>s</em> = 290 - 58
<em>s</em> = 232