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Cube Fence Garden
HELP! IM STUCK ON MY MATH HOMEWORK 
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1. Sadie and Rose run around a circular track in oppisite directions. They each run at a constant rate and pass each other every 30 seconds. Sadie requirs 45 seconds to go around the track once. How many seconds does it take for Rose to complete one lap?
2. When the six-digit number 3456N7 is divided by 8, the remainder is 5. List both possible values of the digit N.
3.A fenced rectangler garden is 10m wide and 20m long. When one side is moved outward and two other sides are increased in length, the area increases by 40 sq m. What is the fewest number of meters of additional fencing needed to form the larger restangler garden?
4. The sequence 2,3,5,6,7,10.... consists of all natural numbers which are niether perfect squares nor perfect cubes. Find the 75th term of this sequence.
THANKS SOO MUCH!
q1
1/R + 1/S = 1/RS
1/R = 1/30 - 1/45
= (3 - 2) / 90
= 1/90
time for Rose to complete a round, R = 90 secs.
q2
6N7 = 5 mod 8
6N2 = 602 + 10N = 0 mod 8
602 = 2 mod 8
10N = 6 mod 8
N = 3 or N = 7
q3
answer
= 2 * (40/20)
= 4 meters
q4
squares and cubes < 101.
= 1, 4, 8, 9, 16, 25, 27, 36, 49, 64, 81, 100.
answer
= 75 + n(squares and cubes not more than the answer)
= 75 + 11
= 86
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