To find out the number of necklaces that can be made from 72 and 42 beads, think of the Greatest Common Factor of both numbers
Factors of 72
1 × 72
2 × 36
3 × 24
4 × 18
6 × 12
8 × 9
Factors of 42
1 × 42
2 × 21
3 × 14
6 × 7
The Greatest Common Factor is 6, so there are 6 necklaces can be made with equal number of beads
Answer: 40 times
Step-by-step explanation:
Given: Total planks = 20
By using integers, Steps forward is represented by +5, Steps backward s represented by -4.
After first set of two steps ( one forward another backward), 5-4 =1 step forward is captured.
For 20 planks , we require 20 such sets, i.e. he will do this 2x 20 times i.e. 40 times.
Hence, he will do this 40 times to reach the other side.
Answer:
The square root of 8.3, and -8.3
Step-by-step explanation:
Answer:Kimo is 17 years old and Jennifer is 13 years old.
Step-by-step explanation:
Let x represent Kimo's current age.
Let y represent Jennifer's current age.
Nine years ago, Kimo was twice as old as Jennifer was then. It means that
x - 9 = 2(y - 9)
x - 9 = 2y - 18
x = 2y - 18 + 9 = 2y - 9
In four years, Jennifer will be the same age that Kimo is now. It means that
x = y + 4 - - - - - - - - - 1
Substituting x = 2y - 9 into equation 1, it becomes
2y - 9 = y + 4
2y - y = 4 + 9
y = 13
x = 2y - 9 = 2 × 13 - 9
x = 17
