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3 years ago

What property was applied to solve the equation below?

Mathematics

2 answers:

scoray [572]3 years ago

6 0

Answer:division property of equality

Step-by-step explanation: Because 0.36x divided by 0.36 is 1x. -1.8 divided by 0.36 is -5. Couuld you give me brainleist

melisa1 [442]3 years ago

3 0

Answer:

Division Property of Equality

Step-by-step explanation:

Addition Property of Equality :

a = b ⇒ a + c = b + c

Subtraction Property of Equality

a = b ⇒ a - c = b - c

Multiplication Property of Equality :

a = b ⇒ ca = cb,

Division Property of Equality :

$a=b\implies \frac{a}{c}=\frac{b}{c}$ ,

Here, the given equation is,

0.36x=-1.8,

For finding the value of x we need to isolate x,

For this we must divide both sides by 0.36,

That is, we were applied 'Division Property of Equality'.

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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

3 years ago

3 5 Solve forx: 2x + - = 4x 4

Korolek [52]

Answer:

you cant do that

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

If 25% of a number is 12, what is 75% of that number?

snow_tiger [21]

Answer:

Step-by-step explanation:

$\frac{0.25}{0.75} =\frac{12}{x} \\$

$0.75 *12=9$

$\frac{9}{0.25} =36$

8 0

3 years ago

What is 3.9 divided by 100.000

Amanda [17]

Answer: 0.039

Step-by-step explanation: you move the "3.9" 2 decimal places to the right. If you did the inverse (multiplying by 100) you would get 390.00

3 0

2 years ago

PLease help me on this one? <3

MariettaO [177]

Answer:

A. (1, 0)

Reason:

When the first equation is graphed: y <u><</u> x + 1, the left side of the line is shaded and when the second equation is graphed: y <u><</u> x^2 -3x, the bottom is shaded.

The green section does not contain solutions. So D is automatically out.

The red section does not contain solutions as well. So C is automatically out.

For choice B, the point goes out of the shaded blue section, so that's out also.

As for choice A its in the blue shaded section, which makes that answer correct.

(when the two equations are within each other and combine a color, then whatever points is within the shaded part is the right answer)

6 0

3 years ago