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3 years ago

(u)4 multiple please help

Mathematics

1 answer:

nydimaria [60]3 years ago

5 0

Answer:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Step-by-step explanation:

I am not sure if you are asking for multiples of 4 but if you meant something else, please clarify and ill be happy to try and help.

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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>

7 0

1 year ago

−6(x+7)=−4x−2 how many solutions

yaroslaw [1]

Answer: There is one solution, -20

Step-by-step explanation:

$-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20$

There is one solution, -20

Hope it helps <3

8 0

3 years ago

Read 2 more answers

An experienced landscaper can landscape garden with an area of 60sq.m thrice as fast as an apprentice. Working together, it take

Genrish500 [490]

Answer:

It will take the apprentice 24 days working alone

Step-by-step explanation:

Let the number of days it takes the apprentice be x

It will take the landscaper x/3 ( since he is three times faster)

The rate for both will be 60/6 = 10 sq m per day

Rate for apprentice is 60/x

rate for the boss is 60/x/3 = 180/x

Adding the rates together;

60/x + 180/x = 10

240/x = 10

240 = 10x

x = 240/10

x = 24 days

7 0

3 years ago

If a triangle has sides of length 8 cm and 14 cm, what are the possible lengths of the third side?

Pie

Answer:

√260 and √132

Step-by-step explanation:

use pythagoreans theorem and you can replace a and b or a and c

8^2+14^2=x^2

64+196=x^2

260=x^2

x=√260

8^2+x^2=14^2

64+x^2=196

x^2=132

x=√132

7 0

4 years ago

Read 2 more answers

4q+3+2q−1<br> Help me, please

photoshop1234 [79]

Answer:

6q + 2

Step-by-step explanation:

4q + 2 % = 6q

3 - 1 = 2

6q + 2

7 0

3 years ago