If N is first and L is last, then we just need to find all of the permutations for M, O, and P
with first letter M: MOP MPO
with first letter O: OPM OMP
with first letter P: PMO POM
Now, place the N in front and the L at the end of each permutation. There are 6 permutations in total:
NMOPL NMPOL
NOPML NOMPL
NPMOL NPOML
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Answer:
Step-by-step explanation:
Given 3x - 2y = 0, which can be re-written as 3x = 2y, find the intercepts.
y-intercept: let x = 0 and find y. y = 0. So the y-intercept is (0, 0).
x-intercept: let y = 0 and find x. The x-intercept is (0, 0) also.
