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vampirchik [111]

4 years ago

9

Express 2/3 as a decimal in base 3

2 answers:

allsm [11]4 years ago

6 0

It would be:
2/3 = 0 remainder 2<span><span>.
</span>This is by</span><span> dividing it by three and noting the remainder.
</span>
Hope this helps!

timama [110]4 years ago

3 0

2/3 would be about 0.66666666...

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carlos has a string that is 24 inches long. he wants to divide it into 3 equal parts. write an equation to find how long each pa

Kobotan [32]

Is 8 the answer ?
just divide the given number by 3 . you will get the answer 8

7 0

3 years ago

Read 2 more answers

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

4 years ago

NO LINKS-Triangle BCD with vertices B2,-1) C(4,1) and D(5,-2) scale factor=3, centered at the origin

zaharov [31]

Find the coordinates after dilation

3 0

3 years ago

A school bus uses 34 of a tank of gas to drive back and forth to school in a week with 5 school days. How much gas does the bus

geniusboy [140]

Answer:

27.2 of a tank

Step-by-step explanation:

$\frac{34}{5}$ = $\frac{x}{4}$

136 = 5x

x = 27.2

5 0

3 years ago

A square has an area of 50 square feet what is the perimeter of the square rounded to the nearest foot

dezoksy [38]

Answer:

28 feet

Step-by-step explanation:

area of a square = side times side; the sides are equal

50 = side times side or 50 = side^2

sqroot of 50 = sqroot of side^2

7 feet is about the size of the side of the square so using that information..

2 length + 2 width or 4 side

4 times 7 = 28

the perimeter is 28 feet

8 0

3 years ago