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I read it as a total of 420 marbles put into box A and box B.

...  Some in box A and some in box B. 

That is why I could not do it.

Thanks aps.. 

 It does say a TOTAL of 420 marbles so it is badly worded.

It should have said 420 marbles are put into each of the two boxes.

(a)   What was the capacity of the bucket?

(b)   How much water in the tank was filled up using the hose?

HelloRobtlukas!

\(2V_{bucket}=8dm\cdot3dm\cdot0.15dm\cdot\frac{l}{dm^3}=3.6l\)

\(V_{bucket}=1.8l\)

(a) the capacity of the bucket was 1.8l.

\(4\cdot1.8l+x=(8\cdot 3\cdot1.2)l\\ x=21.6l\)

(b) 21.6l water in the tank was filled up using the hose.

  !

420 green and red marbles Put into box A and

                 Box B respectively 

1 1/2 times as many red marble as green

                       marble

 -> Let green marble x

           3/2x + x = 420

              5x = 840

                x = 168 = green marble in Box A

                Red marble = 252 in Box B

    Some yellow marble in Box B

      Let's say y no. of yellow marble in B added

    for every 3 green marbles in A, 16 blue were

   added in Box A 

  -> green marble in A = 168

      for every 3, 16 blue added = 168/3 * 16

                                                 = 896 blue added 

Now Box A had four times as B

        896 + 168 = (252 + y) 4

         252 + y = 266

                 y = 14

         Yellow added were 14

    now, what is the ratio of number of yellow 

             to the number of blue marbles 

               =         14/896

                 
                   =     1/64

                     
                      =  1:64

∴  Joe's house is ( \(1{1 \over 4}\)-\( {5\over 6}\)) mile far

    from Ralph's house

  i.e (\(1{1 \over 4}\)-\( {5\over 6}\)) = ( \({4 + 1\over 4}\)-\( {5\over 6}\))

                    = ( \({5\over 4}\)-\( {5\over 6}\))

                    = ( \({5 * 3 - 5 * 2\over 12}\))

                    =  \({15 - 10\over 12}=\)-\( {5\over 12}\)
∴  Joe's house is \(({5 \over 12})\) mile far from

    Ralph's house

6t > t + 6 + 2t.

6t > 3t + 6

3t > 6

t>2

i need help with it too

Here is a picture to get you started.....what do YOU think the answer to be?

3/4 = 9/12         is the whole job  

    he has   done   1/3 + 1/4 = 7/12

7/12 / 9/12 = 7/9 ths done

For angle W    TAN W = opposite side / adjacent side =  XY / 1

so    tan 70 = XY/ 1

     (1) * tan 70 = xy        <  ====== finish from here

.75³  = 3/4³  =  27/64 = 0.421875

I would suggest graphing the lines as below.

Then find the are below line L      1/2 b * h        ( 18 units² )

   Find the area below line M        1/2 b * h         (9 units² )

        so the area between them is 1/2 of the area below line L       Probability is thus 1/2  = .50

1  1/4 - 5/6 =   15/12 - 10/12 = 5/12 mile between the houses

At first
3/4 = 6/8

½ ×2 = 1【ate】

In the end
D-W = 6-1 = 5 → 90

8×(90÷5) = 144 (Ans)

5-1 = 4
$1380÷4 = $345

$345 + $640 = $985 (Ans)

YZ = 20/3.

There are 36 ways of spelling FOOT.

1. There are 40 ways of drawing a triangle.

Initially

a = 1380 + b     

then

(a-640)  = 5 (b - 640)     sub in the red equation

(1380+b) - 640   = 5b - 3200

b = 985

Not sure what you need...maybe this

3g+2 = x

3g = x-2

g = (x-2) / 3

Thank you

Thank you

$(b/a, c/a) = (i/2, (1 + i)/2)$

Triangle WXY has side lengths XY = 14 and WX = 8. The tangent to the circumcircle of triangle WXY at X is drawn, and the line through W that is parallel to this tangent intersects line XY at Z. Find line YZ.

( Please use geometry, and please put your answer as a fraction.)

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We can solve this problem using a similar triangle formula.

Triangles WXY and WXZ are similar!

8/14 = (14 - YZ)/8

YZ = 66/7

$h + k + a + b = 8 + 2 \sqrt{3}$.

I must report that the video really helped me understand! Thank you very much!