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Neporo4naja [7]

3 years ago

15

The cost of a peanut butter bar is $0.07 more than the cost of a chocolate bar. If you buy 5 peanut butter bars and 6 chocolate

bars, the total cost is $6.40. How much does the chocolate bar cost?
$0.61

$0.55

$0.54

$0.62

1 answer:

Licemer1 [7]3 years ago

4 0

Hello!

To be quick and simple, your answer would be $0.55

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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)

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

b)

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

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,

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

3 0

3 years ago

Help please if anybody knows this help!!

slega [8]

Answer:

A and D

Step-by-step explanation:

A rounds to 0.2

D rounds to 5.26

8 0

3 years ago

The temperature yesterday was 11 degrees colder than it was today if she represents the temperature today what expression repres

damaskus [11]

68-11=57 (Yesterday's temperature)
That's the expression. ^^ And yesterday's temperature is 57 because, 68 degrees (Today's temperature) minus 11 degrees (how many degrees colder it was yesterday) is equal to 57 degrees (Yesterday's Temperature).

6 0

3 years ago

How many wood can a wood chuck ck=huck if a wood chuck could chuck wood and what is 10% of 1000

zavuch27 [327]

Answer:

Step-by-step explanation:

1000 - 10% = 900

6 0

3 years ago

Read 2 more answers

23 red marbles is 40% of _ marbles

andre [41]

Answer:

57.5 marbles rounding to 58 if you do not have partial marbles

Step-by-step explanation:

The number of marbles is equal to the percent of the marbles times the total number of marbles

23 = 40% total marbles

Change to decimal form

23 = .40 M

Divide by .40

23/.40 = .40M/.40

57.5 = M

This question is odd since you can't have part of a marble

I would round up and have 58 marbles

58 *.40 = 23.2 marbles

6 0

3 years ago