Answer:
Lina's solution is correct because it expresses 126 as a product of prime factors.
Step-by-step explanation:
Prime factorization can be defined as a methodology of breaking down an original number down into the set of prime numbers which when multiplied together give us the original number.
Prime factorization makes use of a factor tree
The number we are to carry out prime factorization on is 126
126
/\
3 42
/\
6 7
/\
2 3
The Prime Factorization is:
2 x 3 x 3 x 7
Hence, Lina's factor tree of 126. 126 branches to 3 and 42. 42 branches to 6 and 7. 6 branches to 2 and 3. The equation is 126
= 2 times 3 squared times 7.
Is correct.
Answer:
1995
Step-by-step explanation:
Growth of 2.4% means 100+2.4 = 102.4% of the previous
102.4% = 1.024
100,000,000 = 87,000,000 × (1.024^n)
100/87 = 1.024^n
ln(100/87) = nln(1.024)
n = 5.871941941
Almost 6 years later,
1989 + 6 = 1995
Answer:
Tessa receives £60
Step-by-step explanation:
The ratio is 5:3 so 5+3=8 which is then what you use to divide 96
96/8=12
12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60
Answer: 21 days overdue
Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.