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3 years ago

What is the value of x in the equation 2(2x - 5 - 4) = 160 - 17?

Mathematics

1 answer:

sukhopar [10]3 years ago

6 0

Answer: The value of x is 40.25

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Anne has a broken ruler. It starts at the 3-inch mark and ends at the 12-inch mark. Explain how Anne could use the ruler to meas

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She would start at the 3 inch mark and count from there.

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3 years ago

A new cell phone cost $85, and the sales tax is 9%. What is the amount of the sales tax

elixir [45]

The sales tax is $7.67

In total, with the sales tax, the phone would be $92.65

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3 years ago

A card is drawn from a standard deck of cards. Find the probability, given that the card is a non dash face card. P(nine)

sattari [20]

Answer:

Step-by-step explanation:Knowing that

There are 26 black cards and 26 red ones. Face card consists of jack (J), queen (Q), king (K). There are (26-6)=20 non face red cards. “Either ... or ...” here means bundle of both kinds of cards.

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

At x = 50 units,

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

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

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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2 years ago

Una gruesa de lapices(144 unidades) cuesta $6.800. Cuanto cuestan 450 lapices

irina [24]

Write and solve an equation of ratios:

$6,800 x
------------- = --------------
144 units 450 units

Then 144x = 3060000, or x = $21,250 (answer)

3 0

2 years ago