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Llana [10]
3 years ago
13

Christie was on a road trip. She traveled 320.95 miles on day one, 231.45 miles on day two, and 120.32 miles on day three. How m

any miles did she travel during her three-day trip?
Mathematics
2 answers:
LenaWriter [7]3 years ago
7 0

Answer: 672.72\text{ miles}

Step-by-step explanation:

Given : Christie was on a road trip. She traveled 320.95 miles on day one, 231.45 miles on day two, and 120.32 miles on day three.

Then to find the total  number of miles she traveled during her three-day trip we need to add them all.

The number of miles she traveled during her three-day trip will be :_

320.95+231.45+ 120.32=672.72\text{ miles}

Therefore, the  number of miles she traveled during her three-day trip  = 672.72\text{ miles}

spin [16.1K]3 years ago
4 0
Christie traveled 672.72 miles on the three day road trip.
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3 0
2 years ago
The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac
olya-2409 [2.1K]

Answer:

a) \frac{74}{10025}

b) \frac{3x-2}{x(8x+1)}

c) \frac{-24x^2+32x-2}{(8x^2+x)^2}

Step-by-step explanation:

For total cost function c(x), average cost is given by \frac{c(x)}{x} i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., \left ( \frac{c(x)}{x} \right )'

Given:c(x)=\frac{3x-2}{8x+1}

Average cost = \frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}

a)

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b)

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c)

Marginal average cost:

Differentiate average cost with respect to x

Take f=3x-2\,,\,g=8x^2+x

using quotient rule, \left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}

Therefore,

\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}

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3 years ago
100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What
sertanlavr [38]

Answer:

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Total Amount of chocolate = 100 Pounds

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The total selling price for all the boxes of chocolate is $140

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