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3 years ago

13 liters is approximately how many gallons (give answer in decimal form to the nearest tenth).

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

3.434 us liquid gallons

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The cost of a lack has increased by 30% to £65. Work out the original price

Sveta_85 [38]

Cost of lack increased by 30%

new cost of lack will be = 100% + 30% = 130%

We are given that new cost = £65

Thus 130% of original cost = 65

100% of original cost = 65 × 100/130 = £50

Thus original price was £50

7 0

4 years ago

if your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that

katrin2010 [14]

Its 14.
30-40 is 11, 28-29 is 2, and 41 is 1.

5 0

3 years ago

Carlos started at sea level, climbed a

igomit [66]

19-14? I think first you need to find sea level.

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

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,

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

3 0

3 years ago

'The length of a rectangle is 6 feet more than three

olga_2 [115]

Answer:

length : 15 ft

width : 3 ft

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 36

l = 3w + 6

=> 2×(3w+6) + 2w = 36

6w + 12 + 2w = 36

8w = 24

w = 3

=> l = 3w + 6 = 3×3 + 6 = 9+6=15

3 0

3 years ago