Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = 
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,


Recursive formula of this sequence will be,
, 
Therefore, Option (B) will be the answer.
Answer:
The ranger will need to clear trail for more than 10 2/3 additional hours.
Step-by-step explanation:
Understand that a decimal is any number written in the base-10 system. In common usage, the term "decimal" refers to a number that uses a decimal point to separate the ones place from tenths, hundredths, etc. Represent decimals using area models. State the fraction (tenths or hundredths) that is equivalent to a given decimal. Compare the values of decimals (tenths or hundredths) using area models and/or a number line. For example, compare the value of 0.8 and 0.21.Find a decimal that has a value between two other decimals. For example, find a decimal with a value between 0.3 and 0.4.
Answer:
The weight of container C is 2.1kg.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the weight of container A.
y is the weight of container B.
z is the weight of container C.
The average weight of 3 containers A,B and C is 3.2kg.
This means that the total weight is 3*3.2 = 9.6kg. So

Container A is twice as heavy as container B.
This means that
.
Containers B is 400 g heavier than container C.
400g is 0.4kg. So
This means that
, or 
Replacing y and z as functions of x in the first equation:




Container C

The weight of container C is 2.1kg.
Answer:
80 persons haf fish and 152 persons had chicken
Step-by-step explanation:
Given data
let the number of persons that had fish be x and chicken be y
so
12x+9y=2544------------------1
x+y= 232------------------------2
from 2
x= 232-y
substitute the value of x in 1
12(232-y)+9y=2544
2784-12y+9y=2544
2784-3y=2544
3y= 2784-2544
3y=240
y= 240/3
y=80
put y= 80 in 2
x+80= 232
x= 232-80
x=152
Hence 80 persons haf fish and 152 persons had chicken