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gavmur [86]
3 years ago
15

48 is 32% of what number?

Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

150

Step-by-step explanation:

Because I looked it up

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Why is it difficult to find fossilized plants and animals in the same place
alexandr1967 [171]

Answer:  because the conditions to generate a fossil for an animal is very different from the conditions required for a plant.

Step-by-step explanation:

it is D

3 0
3 years ago
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Sarah is purchasing pencils to share. Each package has 12 pencils. The equation n = 12p, where n is the total number of pencils
podryga [215]

Answer and Step-by-step explanation:

Each package has 12 pencils

total number of pencils Sarah purchased: n = 12p

n = total number of pencils

p = number of packages

n depends on p, because the total number of pencils dependos on how many packages she will buy, so:

independent variable: p

dependent variable: n

╔═══╦══════════╦════╗

║ p     ║ n = 12p            ║ n  ║

╠═══╬══════════╬════╣

║ 3     ║ n = 12*3           ║ 36     ║

╠═══╬══════════╬════╣

║ 4     ║ n = 12*4           ║ 48     ║

╠═══╬══════════╬════╣

║ 5     ║ n = 12*5           ║ 60     ║

╠═══╬══════════╬════╣

║ 6     ║ n = 12*6           ║ 72     ║

╠═══╬══════════╬════╣

║ 7     ║ n = 12*7           ║ 84     ║

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7 0
3 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)

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
There are 4 semi- trailer truck park a line at the stop. After the first truck, each in the line weights 2 tons more than the tr
Anna11 [10]

Let's say the first truck weighs x tons

Then, the weight of 2nd truck = x+2 tons

The weight of 3rd truck = (x + 2) + 2 = x+4 tons

The weight of 4th truck = (x + 4) + 2 = x+6 tons

Total weight of 4 trucks:

x + (x+2) + (x+4) + (x+6) = 32

 

which can be solved easily to give x = 5

5 0
3 years ago
2x+7 =5 is an example of...
tresset_1 [31]

Answer:

This is an example of distribution

Step-by-step explanation:

The reason why is because the equation is linear and if you exclud the y it show that it can distribute.

6 0
3 years ago
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