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Step2247 [10]
2 years ago
15

Mr. Lawton bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of sugar cookies, how many batches of

sugar cookies can he make?
Mathematics
2 answers:
xenn [34]2 years ago
8 0

1. Find number of ounces:

8 +  12 pounds  x  16 ounces in a pound = total ounces

8 + 12 * 16 = 200 ounces

2. Take total, divide by the amount

200 ounces / 4 ounces for each cookie = how many cookies he can make

200/4 = 50

50 cookies

ElenaW [278]2 years ago
7 0

Answer:

Mr. Lawton can make 50 batches of sugar cookies

Step-by-step explanation:

first, we need to convert the 12 pounds to ounces and the conversion rate is 1 pound=16 ounces so 12*16=192+8=200. because each batch needs 4 ounches  you divide 200 by 4 to get 50  

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The actual cost incurred in manufacturing:

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C(311)-C(310)=[0.0002(311)^3 - 0.06(311)^2 + 120(311) + 5000]-[0.0002(310)^3 - 0.06(310)^2 + 120(310) + 5000]\\\\C(311)-C(310)=42532.79-42392.2\\\\C(311)-C(310)=140.59

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We need to find the derivative of the total cost function:

\frac{d}{dx}C(x)=\frac{d}{dx}(0.0002x^3 - 0.06x^2 + 120x + 5000)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\\frac{d}{dx}C(x)=\frac{d}{dx}\left(0.0002x^3\right)-\frac{d}{dx}\left(0.06x^2\right)+\frac{d}{dx}\left(120x\right)+\frac{d}{dx}\left(5000\right)\\\\C'(x)=0.0006x^2-0.12x+120

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