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3 years ago

Divide. Write your answer in simplest form. 7/10 divided by 5/16

Mathematics

1 answer:

nlexa [21]3 years ago

7 0

Answer:

$\frac{56}{25}$

Step-by-step explanation:

Exact Form:

$\frac{56}{25}$

Decimal Form:

2.24

Mixed Number Form:

$2\frac{6}{25}$

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Find the exact solution of x x^2 = 16 X=4 No Solution x= +4 x=-4

8_murik_8 [283]

Answer:

x = 4

Step-by-step explanation:

x^2 = 4^2 = 16

4 0

3 years ago

Which value is NOT a solution of 8x3 – 1 = 0?

Tpy6a [65]

<u><em>Note: As you may have unintentionally missed to add the value choices. But, I would make sure to explain the concept so that you may improve your understanding in terms of solving these type of questions.</em></u>

Answer:

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Step-by-step explanation:

Considering the equation

$8x^3\:-\:1\:=\:0$

Steps to solve the equation

$8x^3-1=0$

$\mathrm{Add\:}1\mathrm{\:to\:both\:sides}$

$8x^3-1+1=0+1$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\frac{8x^3}{8}=\frac{1}{8}$

$\mathrm{Simplify}$

$x^3=\frac{1}{8}$

$\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}$

$x=\sqrt[3]{\frac{1}{8}},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{\frac{1}{8}}\frac{-1-\sqrt{3}i}{2}$

So,

$x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$

Therefore,

Any value other than the values $x=\frac{1}{2},\:x=-\frac{1}{4}+i\frac{\sqrt{3}}{4},\:x=-\frac{1}{4}-i\frac{\sqrt{3}}{4}$ will not be a solution of $8x^3\:-\:1\:=\:0$ .

Keywords: solution, value

Learn more about equation solution from brainly.com/question/1679491

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3 years ago

A line passes through the points (4, 4) and (6, 10). What is its equation in slope-intercept form?

Lana71 [14]

Y=3x-8 is the correct answer

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3 years ago

A mixture of alcohol and water contains a total of 50 ounces of liquid. There are 10 ounces of pure alcohol in the mixture. What

suter [353]

20% is alcohol and 80% is water hope this helped

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3 years ago

Two squares have sides 12cm and 4cm respectively. What is the ratio of their sides

Nookie1986 [14]

Answer:

3 : 1

Step-by-step explanation:

We have to compare the value of two sides.

Ratio of sides = 12 : 4 = $\dfrac{12}{4}=\dfrac{4*3}{4*1}=\dfrac{3}{1}$

= 3 : 1

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2 years ago