Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
Answer:
true
Step-by-step explanation:
You can dispose a number
of elements in a matrix-like formation with
shape if and only if
and
both divide
, and also
.
So, we need to find the greatest common divisor between
and
, so that we can use that divisor as the number of columns, and then.
To do so, we need to find the prime factorization of the two numbers:


So, the two numbers share only one prime in their factorization, namely
, but we can't take "too many" of them:
has "three two's" inside, while
has "five two's" inside. So, we can take at most "three two's" to make sure that it is a common divisor. As for the other primes, we can't include
nor
, because it's not a shared prime.
So, the greater number of columns is
, which yield the following formations:


The answer is the movie Stan picked cost 2.50 more than the movie Blake picked.
Step-by-step explanation: