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2 years ago

What is the difference between independent choices and dependent choices in a problem?

1 answer:

7 0

A dependent variable is a variable whose variations depend on another variable—usually the independent variable. An Independent variable is a variable whose variations do not depend on another variable but the researcher experimenting.

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Solve the proportional<br> equation below:<br> x/4 = x-6/3

aleksandrvk [35]

<h2><u>PROPORTIONAL EQUATION</u></h2><h3>Exercise</h3>

Apply the means-extremes property of proportions: this allows you to cross multiply:

$\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}$

$\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}$ ‏‏‎ ‏‏‎‎ $\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}$ ‏‏‎‎

$\boxed{\mathsf{3x = 4(x - 6)}}$

Apply the distributive property:

$\mathsf{3x = 4(x-6)}$

$\mathsf{3x = 4(x) - 4(6)}$

$\mathsf{3x = 4x - 24}$

Add 24 to both sides:

$\mathsf{3x + 24 = 4x - 24 + 24}$

$\mathsf{3x + 24 = 4x}$

Substract 3x to both sides

$\mathsf{3x - 3x + 24 = 4x - 3x}$

$\mathsf{24 = 4x - 3x}$

$\large{\boxed{\mathsf{24 = x}}}$

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<h3><u>Answer</u>. The value of x = 24.</h3>

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8 0

2 years ago

A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).

gogolik [260]

20 and that should be correct, if you need an explanation just ask

5 0

3 years ago

10 Points!

Gekata [30.6K]

$a_1=6,\ a_n=2\cdot a_{n-1}\\\\a_2=2\cdot a_1\to a_2=2\cdot6=12\\\\a_3=2\cdot a_2\to a_3=2\cdot12=24\\\\a_4=2\cdot a_3\to a_4=2\cdot24=48\\\\a_5=2\cdot a_4\to a_5=2\cdot48=96\\\\a_6=2\cdot a_5\to a_6=2\cdot96=192\\\\\text{Answer:}\\D)\ 6,\ 12,\ 24,\ 48,\ 96,\ 192$

4 0

3 years ago

Can the exponent in the denominator be subtracted from the exponent in the numerator when the based are different? Explain

Vanyuwa [196]

Answer:

No, Sorry.

Step-by-step explanation:

Since the bases are different, you'll have to change them even if they have a exponent or not. If you dunno how to make the denominators the same, just multiply the two by eachother.

Example) 1/2 - 3/4

$\frac{1}{2} - \frac{3}{4}$