Maths questions

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Soldato
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Q) Marbles are to be removed from a jar that contains 12red marbles and 12 black marbles. What is the leastnumber of marbles that could be removed sothat theratio of red marbles to black marbles left in the jar willbe 4 to 3 ?

Q)For what positive number is the square root of the
number the same as the number divided by 40 ?

Q) If 0≤ x≤ y and ax+yf −ax−yf ≥2 2 25,

whatis the least possible value of y ?

blimey :eek:
 
Killa_ken said:
Q) Marbles are to be removed from a jar that contains 12red marbles and 12 black marbles. What is the leastnumber of marbles that could be removed sothat theratio of red marbles to black marbles left in the jar willbe 4 to 3 ?

Q)For what positive number is the square root of the
number the same as the number divided by 40 ?

Q) If 0≤ x≤ y and ax+yf −ax−yf ≥2 2 25,

whatis the least possible value of y ?

blimey :eek:

I would have done these questions no problems if I was back at college doing my maths. Now, i've got 6 weeks off before I start my A2.

I miss maths :(
 
Killa_ken said:
Q) Marbles are to be removed from a jar that contains 12red marbles and 12 black marbles. What is the leastnumber of marbles that could be removed sothat theratio of red marbles to black marbles left in the jar willbe 4 to 3 ?

3?

Q)For what positive number is the square root of the
number the same as the number divided by 40 ?

1600 (40^2)?
 
Killa_ken said:
Q) Marbles are to be removed from a jar that contains 12red marbles and 12 black marbles. What is the leastnumber of marbles that could be removed sothat theratio of red marbles to black marbles left in the jar willbe 4 to 3 ?

I'm useless at maths but is the anwser 3 marbles
 
Killa_ken said:
Q) Marbles are to be removed from a jar that contains 12red marbles and 12 black marbles. What is the leastnumber of marbles that could be removed sothat theratio of red marbles to black marbles left in the jar willbe 4 to 3 ?
Unless I'm completely missing the point (which I'm not) ... that really isn't that difficult :confused:!
 
Killa_ken said:
Q) If 0≤ x≤ y and ax+yf −ax−yf ≥2 2 25,

whatis the least possible value of y ?

blimey :eek:


what? :confused:

2 equations in 4 unknowns. At best you will have two free variables.

edit: aside from 0>= 2225 not helping much : /
 
Killa_ken said:
if 0 =< X =<Y AND (x+y)^2 - (x-y)^2 >=25 what is the least possible value of Y

sorry my bad when copy and pasting

It comes out to xy >= 6.25

Y can be as low as 2.5 (to satisfy 0 <= x <= y) .
 
Killa_ken said:
if 0 =< X =<Y AND (x+y)^2 - (x-y)^2 >=25 what is the least possible value of Y

sorry my bad when copy and pasting

y>0, erm mistake somewhere... :o

edit: yea, 2.5 after the first inequality is taken into account :D
 
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