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2 years ago

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109 2/3 divided by 1/2

1 answer:

Alexandra [31]2 years ago

3 0

Answer:

$\large\boxed{219\dfrac{1}{3}}$

Step-by-step explanation:

$109\dfrac{2}{3}:\dfrac{1}{2}\\\\\text{Divide by a fraction is the same operation as multiply by its reciprocal}\\\\109\dfrac{2}{3}:\dfrac{1}{2}=109\dfrac{2}{3}\cdot\dfrac{2}{1}=109\dfrac{2}{3}\cdot2=\left(109+\dfrac{2}{3}\right)\cdot2\\\\\text{use distributive property}\\\\(109)(2)+\left(\dfrac{2}{3}\right)(2)=218+\dfrac{4}{3}=218+1\dfrac{1}{3}=219\dfrac{1}{3}$

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weeeeeb [17]

The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9

<h3>How to determine the quadratic equation?</h3>

From the question, the given parameters are:

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The quadratic equation is then calculated as

f(x) = The products of (x - roots)

Substitute the known values in the above equation

So, we have the following equation

$f(x) = (x - \frac{-1-\sqrt{2}}{3})(x - \frac{-1+\sqrt{2}}{3})$

This gives

$f(x) = (x + \frac{1+\sqrt{2}}{3})(x + \frac{1-\sqrt{2}}{3})$

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f(x) = x²+ 2/3x - 1/9

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1 year ago

Simplify cos^-1 (sqrt 3/2)<br><br> A. 60° <br> B. 30° <br> C. 240° <br> D. 150°

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3 years ago

shepuryov [24]

Answer:

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Step-by-step explanation:

Given

<em>Let the odd numbers be represented with x and y</em>

<em>Let x be the greater number</em>

<em></em> $x + 5y = 92$ <em></em>

<em></em>

<em>Required</em>

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Since x and y are consecutive odd numbers and x is greater, then

$x = y + 2$

Substitute y + 2 for x in $x + 5y = 92$ <em></em>

<em></em> $y + 2 + 5y = 92$ <em></em>

<em></em>

Collect Like Terms

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$\frac{6y}{6} = \frac{90}{6}$

$y = \frac{90}{6}$

$y = 15$

Substitute 15 for y in $x = y + 2$

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lorasvet [3.4K]

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