let
x = the number of party favors in each of the 27 boxes
y = the number of party favors in the last box
the total number of party favors is 1,552
27x + y = 1,552
since 1552 = 57*27 + 13
if we assume that y<x we conclude that there are 57 party favors in each of the 27 boxes and 13 party favors in the last box.
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The inequality graph shown is a graph of x < -6
The correct option is option B because it is the only one whose solution give x<-6
x + 9 < 3
x < 3 - 9
x < -6
Therefore the answer is B
Step-by-step explanation:
fa - g = a
fa - a = g
a(f - 1) = g
a = g/(f - 1)
Answer:

Step-by-step explanation:
The magnitude of a vector v = ai + bk is

In this problem, we have that:
Find a vector of magnitude 3 in the direction of v=4i-3k:
The first step is finding the unit vector of v,
.
So


Magnitude 3, same direction.
We multiply the unit vector by +3, since it is in the same direction. If it was in the opposite direction, we would have multiplied by -3.
The answer is:

Answer:
The explicit formula of the sequence is
for 
Step-by-step explanation:
Sixth term in a geometric sequence =
Common ratio =
Formula of nth term =
Substitute the values
So,
5=a
Substitute the value in 1
So,
So, Option C is true
Hence the explicit formula of the sequence is
for 