Thanks Stuart.

i would equate 2m=9-m 3m=9 m=3 to answer your other question, any negative number raised to an even power is positive and any positive number raised to even or odd power is also positive. (-2)^2m is the same as 2^2m because m is an integer and 2multiplied by m will always be even ensuring a positive...

a+b / 2 = m

a+b=2m

a= 3c+b / 2

substitute a into above equation

3c+b / 2 + 2b/2= 2m

= 3c+3b / 2 = 2m
= c+b=4m/3

therefore m has to be divisible by 3
only number among answer choices that contains factor of 3 is 12
answer e

r^2+s^2=radius^2
st 1 provides radius, therefore, sufficient to answer r^2+s^2

any (x,y) point on circle will have equation of x^2+y^2=radius^2
st 2 provides point on circle, therefore, radius^2 can be calculated

d

x=refreshments only

x+11=1.5[84-35-x]
x=25

refreshments =25+11=36

st 1:
s + or -
v -
x+

svx dependent on sign of s which can be + or -

st 2:

s+ or -
v-
x+

svx dependent on sign of s which can be + or -

both insufficient

14% difference between winner and loser (57%-43%) represents 420 votes

0.14x=420
x=3000

jack 20 days
tom 25 days

let work done be x
jack does 5x work and tom does 4x work

9x=450
x=50
jack =250