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2 years ago

Could you help me with number 6 plz

Mathematics

2 answers:

Anton [14]2 years ago

8 0

Answer:

D: The correct answer is 4 tons!

Step-by-step explanation:

1 ton is equal to 2000 pounds, this elephant wieghs 8000 pounds therefore, divide 8000 by 2000 and you will get 4.

So i hope this helps.

HACTEHA [7]2 years ago

4 0

Answer: 4 tons

Step-by-step explanation:

One ton is 2000 pounds so 800/2000 which is 4,

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alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

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9 months ago

An employee earns $200 for 14 hours work. Assuming he is paid by the hour, how much will this employee earn in 35 hours?

bezimeni [28]

If an employee earns 200 dollars for 14 hours work, that means this person gets approximately 14 dollars and 29 cents per every hour.

Thus, in 35 hours, you can multiply 14.29 by 35 to get about 500 dollars.

In 35 hours, the employee will earn 500 dollars.

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3 years ago

Solve for the missing piece. Round answer to the nearest tenth when necessary.

galina1969 [7]

Answer:

21.0

Step-by-step explanation:

SOHCAHTOA

In this case you would be using TOA

tan (x) = opposite/ adjacent

tan (51) = x / 17

x = 17 tan (51)

x = 20.9932

x= 21.0

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3 years ago

The Marriott Hotel charges $150 per night for a family

SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

Without tax, the price for 2 nights would be $150 times 2. So the price without tax would be....

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But then we have to be aware of 11% tax so we would multiply the price for two nights by 1.11 and get...

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3 years ago

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Nataliya [291]

Answer:

Step-by-step explanation:

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2 years ago