Answer:
Total number of congruent sections/parts = 7
Step-by-step explanation:
Given that partitions directed segment AB such that AP : PB = 3 : 4, this implies that:
There are 7 parts/congruent sections that AB has been divided into.
Also, point P, partitions AB in the ratio 3:4.
Therefore, there are a total of 7 congruent sections/parts.
Value of k:
Value of k = numerator of the original ratio ÷ sum of numerator and denominator of the original ratio
Answer:
Step-by-step explanation:
GIVEN: A bibliophile plans to put a total of seven books on her marble shelf. She can choose these seven books from a mixture of works from Antiquity and works on Post-modernism, of which there are seven each.
TO FIND: If the shelf must contain at least four works from Antiquity, and one on Post-Modernism, then how many ways can he select seven books to go on the shelf.
SOLUTION:
Total number of books available
As there must be at least books on Antiquity and
on Post-modernism
Therefore,
when there are Antiquity books and
on Post-modernism.
total ways of selection
when there are Antiquity books and
on Post-modernism.
total ways of selection
when there are Antiquity books on
books on Post-modernism.
total ways of selection
Total ways of selection are
Hence the total ways of selection such that there are at least books on Antiquity and
on Post-modernism.