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Alona [7]
3 years ago
9

Estimate the question by rounding 2x 6,254=?

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0
Round 6,254 to 6,300

2 x 6,300 = 12,600
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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.

4 0
4 years ago
I don’t understand pls help
SIZIF [17.4K]

Answer:

one solution is the correct answer

3 0
3 years ago
Calculate the density of a rock that has a mass of 454 g and a volume of 100.0 cm3.
Katena32 [7]

Answer:

4.54 g/cm^3

Step-by-step explanation:

d = m/v

d = 454 g ÷ 100.0 cm^3

d = 4.54 g/cm^3

3 sig figs so this answer is complete

6 0
3 years ago
An orange has 20 fewer calories
Andreyy89

Answer:

90 calories in a banana.

Step-by-step explanation:

O = B - 20     where  O is the number calories in an orange and B is a that in  banana.

Also 7B = 9O

From the above   O = 7B / 9 so substituting in the first equation:

7B / 9 = B - 20

7B = 9B - 180

2B = 180

B = 90.

7 0
4 years ago
Ella has gold,silver,and copper wire for stringing beads.she has1 1\2ft.of gold wire,2 1\3ft.of silver wire,and3 3\4ft.of copper
Oksana_A [137]
Ella would have 65/8ft wire all together.
3 0
3 years ago
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