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Basile [38]
3 years ago
15

An office printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster?

Mathematics
1 answer:
aev [14]3 years ago
5 0
Office printer is faster
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8 0
2 years ago
A rectangular piece of land is to be fenced using two kinds of fencing. Two opposite sides will be fenced using standard fencing
damaskus [11]

Answer:

Therefore the dimension of the rectangular piece of land is 375 m by 250 m.

Step-by-step explanation:

Given that,

Two opposite sides of rectangular land will be fenced using standard fencing that costs $6 per m while the other two side will require heavy duty fencing that costs $9 per m.

Let the length and width of the rectangular x and y respectively.

Then total cost for fencing = \$(2x\times 6+2y\times 9)

                                            =$(12x+18y)

Then,

12x+18y= 9,000

⇒ 2x+3y=1,500     [ cancel out common factor 6]

⇒3y= 1500 - 2x

\Rightarrow y=\frac{1500-2x}{3} ....(1)

The area of the rectangular land is = Length × width

                                                          = xy

Let,

A=xy

Putting the value of y

A=x.\frac{1500-2x}{3}

\Rightarrow A=\frac13(1500x-2x^2)

Differentiating with respect to x

A'=\frac13(1500-4x)

Again differentiating with respect to x

A''=-\frac43

Now we have to determine the critical value of A.

For critical value set A'=0

\frac13(1500-4x)=0

⇒1500-4x=0

\Rightarrow x=\frac{1500}{4}

\Rightarrow x=375 m

Since, A''|_{x=375}=-\frac43. at x=375 m the area of the rectangular piece of land is maximum.

From equation (1) we get when x=375

y=\frac{1500-2\times 375}{3}

⇒y=250 m

Therefore the dimension of the rectangular piece of land is 375 m by 250 m.

3 0
3 years ago
A truck carries 45 crates of water. Each crate holds 24 bottles of water. How many bottles of water does the truck hold?
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Answer:

answer is 1,080

Step-by-step explanation:

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