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2 years ago

Can someone please answer and EXPLAIN ILL MARK BRAINLIEST

Mathematics

2 answers:

12345 [234]2 years ago

7 0

Answer:

adjust city gallons to 3 gallons and freeway to 7 gallons

make your line in the chart:

3 | 10-3 = 7 | 3(25) = 75 | 7(40) = 280 | 75 =280 =355 | 355 | yes

Step-by-step explanation:

x = city gallons

y = freeway gallons

x+y = 10 then y = 10-x

25x+40y = 355

substitute for y

25x+40(10-x) = 355

25x+400-40x = 355

-15x+400 = 355

subtract 400 from each side

-15x = -45

divide both sides by -15

-15x/-15 = -45/-15

x = 3 gallons

y = 7 gallons

Nikolay [14]2 years ago

4 0

Answer:

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Step-by-step explanation:

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A rectangular garden of area 208 square feet is to be surrounded on three sides by a brick wall costing $ 8 per foot and on one

vova2212 [387]

Answer:

Therefore the dimensions of the garden is 16 feet by 13 feet.

Step-by-step explanation:

Let the length of the garden be x and the width of the garden be y.

Given that the area of the rectangular garden is 208 square feet.

Therefore,

xy =208

$\Rightarrow y = \frac{208}{x}$

Again given that,

The garden is to be surrounded on three sides by a brick wall costing $ 8 per feet and the remaining sides by a fence costing $5 per feet.

The perimeter of the rectangle is = 2(length+ breadth)

= 2(x+y)

=2x+2y

The total cost of fence

$C= [ (2x\times 8)+(y\times 8)+(y\times 5)]$

= (16x+ 8y +5y)

$=16x+13y$

$=16x+\frac{13\times 208}{x}$

$=16x +\frac{2704}{x}$

To find the maximum or minimum point, we need to find out $\frac{dC}{dx}$ and set $\frac{dC}{dx}$ =0.

$\frac{dC}{dx}=16 -\frac{2704}{x^2}$

Then

$16 -\frac{2704}{x^2}=0$

$\Rightarrow \frac{2704}{x^2}=16$

$\Rightarrow x^2 =\frac{2704}{16}$

$\Rightarrow x=\pm \sqrt{169}$

$\Rightarrow x=\pm 13$

Again $\frac{d^2C}{dx}= \frac {8112}{x^3}$

$\therefore\left| \frac{d^2C}{dx}\right |_{x=13}= \frac {8112}{13^3}>0$

Therefore at x= 13 , the cost is minimum.

Therefore x = 13 feet.

The other side of the garden is $=\frac{208}{13}$ feet = 16 feet.

Therefore the dimensions of the garden is 16 feet by 13 feet.

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Ramon took a collection of colored tiles from a box. Amelia took 14 tiles from his collection and Keiko took half of those remai

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