Given:
The two numbers are


To find:
The highest common factor (HCF) of A and B
Solution:
We have,
...(i)

All the factors of A are prime but the factors of B are not prime. So, it can be written as
...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

Therefore, the highest common factor (HCF) of A and B is 3.

Multiply the square root of 3 by the square root of 2 and itself.
The 3 cancels itself out and then you get A
Since we are given with the identity of the chemical as Carbon-14, we obtain the half-life of the chemical from a reliable source and get a value of 5730 years. The equation that we are going to use for this item is,
A(t)/A(0) = (0.50)^(n/5730)
where A(t) is the current amount, A(0) is the initial amount and n is the number of years. We know from the given that the ratio of A(t) and A(0) is equal to 0.63. Substituting this to the given,
0.63 = 0.50^(n/5730)
n = 3819.48
Thus, the sample is approximately 3819.5 years old.
Answer:
16/15
Step-by-step explanation:

The two minus signs cancel, so the result is positive.
Answer:
<u>4 weeks</u>
Step-by-step explanation:
Remaining money (per week) :
- Net income - Expenses
- $400 - $380
- $20
No. of weeks to buy shoes :
- Cost of shoes / Remaining money (per week)
- $70/$20
- 3.5 ≈ <u>4 weeks</u> (nearest whole week)