Answer:
There are 120 1st graders at Sierra Elementary School this year
Step-by-step explanation:
Let n represent the total number of 1st graders at Sierra Elementary School
Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54
→ n(
) = 54
→ 45n = 5400
→ n = 120
Answer:
4 : 24 or 1 : 6
Step-by-step explanation:
There are 4 bananas and 24 fruits so we just make that a ratio of 4 : 24.
We can then simplify that ratio to 1 : 6.
The answer is 17. The decimal point needed to be moved by 2 places to the right since the divisor is a decimal.
Answer:
C
Step-by-step explanation:
the answer is C sense that makes the most sense with the problem
A function
is periodic if there is some constant
such that
for all
in the domain of
. Then
is the "period" of
.
Example:
If
, then we have
, and so
is periodic with period
.
It gets a bit more complicated for a function like yours. We're looking for
such that
Expanding on the left, you have
and
It follows that the following must be satisfied:
The first two equations are satisfied whenever
, or more generally, when
and
(i.e. any multiple of 4).
The second two are satisfied whenever
, and more generally when
with
(any multiple of 10/7).
It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when
is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.
Let's verify:
More generally, it can be shown that
is periodic with period
.
