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3 years ago

7

Which of the following is 5/9 closest to? a 1/2 b 0 c 1

1 answer:

Kazeer [188]3 years ago

8 0

Answer: do you have a picture of the assignment?

Step-by-step explanation:

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Kyle charges 50¢ for a cup of lemonade. Kyle can represent the total sales for the day using the expression 50c. Kyle is thinkin

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I think the answer is B. 75c

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3 years ago

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Evaluate using the order of operations ( 8/9 - 1/3) x 2/3

Korvikt [17]

(8/9-3/9)*2/3=5/9*2/3=10/27

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4 years ago

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You own a lawn care business. in a typical week you drive 600 miles and use 40 gallons of gasoline. gasoline costs $1.25 per gal

iVinArrow [24]

42.50$ ? 21 times 1.25 plus 13 times 1.25 = 42.50?

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3 years ago

Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

So

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

7 0

2 years ago

If the hypotenuse of a right triangle is 2 <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3%7D" id="TexFormula1" title="\sqrt{3}" a

Svetradugi [14.3K]

Answer:

3

Step-by-step explanation:

a = the other leg:

$a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3$

$a^{2} =9$

$a=\sqrt{9}$

$a=3$

Hope this helps

5 0

2 years ago