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2 years ago

10

What is fraction that is equivalent to 3/8

2 answers:

Anni [7]2 years ago

8 0

Answer

3/8=3*3/8*3=9/24

Vsevolod [243]2 years ago

4 0

Answer:

6/16, perhaps?

Good luck! And if you could, please mark me brainliest. :)

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Step-by-step explanation:

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an insurance company sells a policy that pays $50,000.00 in case of accidental death. According to company figures, the rate of

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2 years ago

A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box= $2b^2+4bh$

$2b^2+4bh=36$

$b^2+2bh=18$

$2bh=18-b^2$

$h=\frac{18-b^2}{2b}$

Volume of box, V= $b^2h$

Substitute the values

$V=b^2\times \frac{18-b^2}{2b}$

$V=\frac{1}{2}(18b-b^3)$

Differentiate w. r.t b

$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

$\frac{dV}{db}=0$

$\frac{1}{2}(18-3b^2)=0$

$\implies 18-3b^2=0$

$\implies 3b^2=18$

$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

$h=\frac{18-6}{2\sqrt{6}}$

$h=\frac{12}{2\sqrt{6}}$

$h=\sqrt{6}$

$b=h=\sqrt{6}$ m

7 0

2 years ago

Does the equation y = 4.2x represent a proportional relation ship

12345 [234]

Yes because there are no constants after

3 0

3 years ago

Solve 2x+3y=18 equation

Nina [5.8K]

Here's the graph of your equation, instructions on how to plot is in the image. if there's a second line equation, you could use the method shown to plot that too, and the x and y values of the intersection point would be your answer.

you could also use algebra to simultaneously solve the two equations to obtain x and y as well, feel free to ask!

hope that helps :) sorry it's not a definite answer

5 0

2 years ago