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Juliette [100K]
3 years ago
7

Three-eighths of the teachers at Naran's school are men, and 30 of the teachers are women. (Each teacher is either a man or a wo

man.)
How many teachers are there at Naran's school?
Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

48 teachers     30 w  18 m

5/8=30

3/8=x

5/8 x =3/8 30

remove 8 from both sides

5x=90

x=18

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Genrish500 [490]

Answer:

a)  eight and seven ninths minus three and four sixths

Step-by-step explanation:

The required result is 5\frac{6}{54}

a)

8\frac{7}{9} -3\frac{4}{6}\\\\=\frac{79}{9}  -\frac{22}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{474-198}{54} \\\\=\frac{276}{54}\\\\=5\frac{6}{54}

b)

6\frac{8}{9} -1\frac{5}{6}\\\\=\frac{62}{9}  -\frac{11}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{372-99}{54} \\\\=\frac{273}{54}\\\\=5\frac{3}{54}

c)

4\frac{1}{6} +1\frac{1}{9}\\\\=\frac{10}{9}  +\frac{25}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{60+225}{54} \\\\=\frac{285}{54}\\\\=5\frac{15 }{54}

d)

3\frac{3}{6} +2\frac{4}{9}\\\\=\frac{22}{9}  +\frac{21}{6} \\\\Simplifying\ the\ expression:\\\\=\frac{132+189}{54} \\\\=\frac{321}{54}\\\\=5\frac{51 }{54}

6 0
2 years ago
Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi
Leona [35]

Answer:

The general solution of   cos x = cos(\frac{\pi }{6})   is  

                                                x = 2nπ±\frac{\pi }{6}

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

                              2cosx =\sqrt{3}

Dividing '2' on both sides, we get

                             cos x =\frac{\sqrt{3} }{2}

                             cos x = cos(\frac{\pi }{6})

<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

6 0
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The best sampling strategy would be a stratified sample.

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Samples may be classified as:

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For this problem, the 4 different brands of the recorders must be considered, hence the buyers should be divided into groups, and a proportion of each group should be sampled, hence a stratified sample should be used.

More can be learned about sampling at brainly.com/question/25122507

#SPJ1

3 0
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Last one, So so sorry!
zvonat [6]
C and D are the same, so its between A and B, which concludes your answer should be B
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Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!

4 0
2 years ago
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