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AlladinOne [14]
3 years ago
14

Find 5 7/9 divided by 3. Simply & write as mixed number.

Mathematics
2 answers:
Arisa [49]3 years ago
5 0

Answer:

1 25/27

Step-by-step explanation:

5 7/9 / 3 =

= 52/9 / 3

= 52/9 * 1/3

= 52/27

= 1 25/27

lesya [120]3 years ago
4 0

let's firstly convert the mixed fraction to improper fraction, and then divide.

\bf \stackrel{mixed}{5\frac{7}{9}}\implies \cfrac{5\cdot 9+7}{9}\implies \stackrel{improper}{\cfrac{52}{9}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{52}{9}\div 3\implies \cfrac{52}{9}\div \cfrac{3}{1}\implies \cfrac{52}{9}\cdot \cfrac{1}{3}\implies \cfrac{52}{27}\implies 1\frac{25}{27}

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Answer:

The solution is x =0.

Step-by-step explanation:

The equation

\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2

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and can be further simplified to

sin(\dfrac{3\pi }{2}+x ) =-1.

Now, taking the inverse sine of both sides we get:

sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)

\bold{(2).}\:  \dfrac{3\pi }{2} +2 =sin^{-1}(-1)

The value of the right side on the interval [0,2\pi) is

sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o) ,

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4 0
3 years ago
Mathematicians 4: Who is Who?
larisa86 [58]

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

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d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

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y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

6 0
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Answer:

D. None of the choices are correct.

Step-by-step explanation:

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