Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio 
. For example, we can say:
We have 
. To find 
, let's multiply this term by 
:
Now, let's use this to find all of our other terms:
Thus, our terms are 64, 80, 100, 125, and (625/4).
1711 sales out of 1950 calls.
The success rate is quite impressive:
1711/1950=87.7%
Answer: The value of x must be greater than 3
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Explanation:
The triangle inequality theorem will come into play here. The basic idea of this theorem is "take any two sides of a triangle and add them up. That sum must be larger than the third side".
So if we have
a = 12
b = x
c = 15
then the following must hold true (all three inequalities must be true)
a+b > c
a+c > b
b+c > a
Focus on the first inequality and plug in the given values. Then solve for x
a+b > c
12+x > 15
12+x-12 > 15-12
x > 3
So we see that x > 3. Repeat the same for the second inequality
a+c > b
12+15 > x
27 > x
x < 27
Repeat again for the third inequality
b+c > a
x+15 > 12
x+15-15 > 12-15
x > -3
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In summary so far, we have
x > 3
x < 27
x > -3
Combine all of those inequalities to form one single compound inequality which is 3 < x < 27
For some reason your teacher doesn't want you to focus on the "less than 27" part, so it seems like s/he only wants the "x > 3" portion.
So this is why x must be larger than 3 (up only til you get to 27 though).
Answer:
43
Step-by-step explanation:
just go backwards so multiply 9 by 4
36
then add 7
43
then to check go 43-7
36-1/4
9
