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Answers ( 332 )
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    1st way :10 + 20 + 60 + 40 + 80 + 90

    =(1 + 2 + 6 + 4 + 8 + 9) x 10

    =30 x 10

    =300

    2nd way :10 + 20 + 60 + 40 + 80 + 90

    =(10 + 90) + (20 + 80)  + (60 + 40)

    =100 + 100 + 100

    =100 x 3

    =300

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    We have:

    x=60 : \(\dfrac{1}{3}\)=180

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    We have :

    6.(a + 5)=90

    <=>a + 5=15

    =>a=10

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    * is 8 

    =>738 :2 and 9

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    The circumference of circle is:

    2 x 2 x 3,14`=12,56(cm)

        Answer:12,56 cm

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    10 + 35 + 100 : 25                                               25 + 15 + 10 + 80 : 4

    =10 + 35 + 4                                                        =25 + 15 + 10 + 20

    =45 + 4                                                                =40 + 30

    =49                                                                      =70

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    The average of 5, 10, 30 is:

    \(\dfrac{5+10+30}{3}\)=\(\dfrac{45}{3}\)=15

    Answer:15

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    The average of 20, 10, 60 is:

    \(\dfrac{20+10+60}{3}\)=\(\dfrac{90}{3}\)=30

    Answer:30

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    The average of 23, 67, 108 is:

    \(\dfrac{23+67+108}{3}\)=\(\dfrac{198}{3}\)=66

    Answer:66

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    \(\sqrt{3375}\)=\(15\sqrt{15}\)

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    x - \(\dfrac{7}{5}\)=\(\dfrac{3}{7}\)

    x=\(\dfrac{3}{7}\) + \(\dfrac{7}{5}\)

    x=\(\dfrac{64}{35}\)

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    1st way :10+ 20 + 30 + 40 + 50 + 60 + 70 + 80

    =(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) .10

    =36 . 10

    =360

    2ndway:10 + 20 + 30 + 40 + 50 + 60 + 70 + 80

    =(20 + 80) + (30 + 70) + (40 + 60) + (10 + 50)

    =100 + 100 + 100 + 50

    =300 + 60

    =360

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    1st way :10+ 20 + 30 + 40 + 50 + 60 + 70 + 80

    =(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8) .10

    =36 . 10

    =360

    2ndway:10 + 20 + 30 + 40 + 50 + 60 + 70 + 80

    =(20 + 80) + (30 + 70) + (40 + 60) + (10 + 50)

    =100 + 100 + 100 + 50

    =300 + 50

    =350

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    100 + 200 + 300 +  500 + 700 + 800 + 900                     200 + 300 + 400 + 100 + 700 + 600 + 900

    =(100 + 900) + (200 + 800) + (300 + 700) + 500      =(300 + 700) + (400 + 600) + (100 + 900) + 200

    =1000 + 1000 + 1000 + 500                                      =1000 + 1000 + 1000 + 200

    =3000 + 500                                                              =3000 + 200

    =3500                                                                        =3200

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    10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 + 100

    =(10 + 90) + (20 + 80) + (30 + 70) + (40 + 60) + (50 + 100)

    =100 + 100 + 100 + 100 + 150

    =100 . 4 + 150

    =400 + 150

    =550

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    Their total ages in three years time is: 31 + (3 . 3)=40(years)

    Answer:40  years

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    1000+2500+2000+8000+7500+9000                             105+120+480+395

    =(1000+9000)+(2500+7500)+(2000+8000)                   =(105+395)+(120+480)

    =10000+10000+10000                                                   =500+600

    =30000                                                                            =1100

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    The volume of the figure is:

    [(8 . 4) : 2] . 10=160 (cm3)

    Answer:160 cm3

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    M=\(\dfrac{5}{7}\) . \(\dfrac{5}{11}\) + \(\dfrac{5}{7}\) . \(\dfrac{2}{11}\) - \(\dfrac{5}{7}\) . \(\dfrac{14}{11}\)

       =\(\dfrac{5}{7}\) . (\(\dfrac{5}{11}\) + \(\dfrac{2}{11}\) - \(\dfrac{14}{11}\))

      =\(\dfrac{5}{7}\) . \(\dfrac{-7}{11}\)

      =\(\dfrac{-5}{11}\)

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    A=\(\dfrac{1.1.2.2.3.3.4.4}{1.2.2.3.3.4.4.5}\)=\(\dfrac{1}{5}\)

    =>A=\(\dfrac{1}{5}\)

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