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3 years ago

Eight times the difference of 2 and a number

Mathematics

2 answers:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer: meh

Step-by-step explanation:

Rina8888 [55]3 years ago

6 0

8x-16=3x+9
5x=25
X=5
The number is x=5

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Which of these relations is a function?

marishachu [46]

Answer: C

Step-by-step explanation:

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2 years ago

You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

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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2 months ago

Nancy needs at least 1000 gigabytes of storage to take pictures and videos on her upcoming vacation. She

balandron [24]

Answer:

The answer to this question can be defined as follows:

In option 1, She buys 4 memory cards.

In option 2, The cost of memory is $40

Step-by-step explanation:

Given:

Available space is = 105 GB

required space = 1000 GB

256 GB memory cost $10.

Find needed memory:

= 1000 GB - 105 GB

= 895 GB

∴ the available memory is 256 GB.

∵ 256 × 4 = 1024 GB

The total memory she have = 1024 + 105 = 1129 GB

And she needs to buy 4 memory cards.

The cost of the four memory cards is= 4 ×10 = $40.

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2 years ago

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If it if 2 multiplies by x and the answer if 8 . What is the value of x ??

Morgarella [4.7K]

2x=8
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x=4

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2 years ago

What is 637,390 times 3,185

Anvisha [2.4K]

Should be 2030087150 :)

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2 years ago

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