Sophie shares her cake with her friends. she gives Lionel a quarter and Helen half of the rest. what fraction remains for her

one and a half quaters

Step-by-step explanation:

4/4 is a whole

The they take one 1/4

then that gives you 3/4

which is then 1.5/4 left for you

3/8

Step-by-step explanation:

Hi! So what really helps me sometimes is to draw a circle and split it. I shaded 1/4 (Lionel's quarter) first. Now, there is 3/4 of the cake left. Helen has half of the rest, which means she has half of 3/4. 1/2 of 3/4 (which is basically 1/2 x 3/4) = 3/8. This means Helen has 3/8 of the cake. I then split my circle into eighths and shaded in 3. This left me with 3/8 of the cake left for Sophie. This means the fraction that remains for her is 3/8.  

I hope this helped :)

cells do need food. in a process known as cellular respiration, cells convert biochemical energy (oxygen as food) from nutrients into adenosine triphosphate (atp), and then release waste products.

hope this .. : d

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°