If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
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The three terms are 12, -6, 3. The common ratio is -1/2.
Answer:
4 people
Step-by-step explanation:
9-2= $7
28/7 = 4
Answer:
See below
Step-by-step explanation:
To solve a proportion ( an equation with two equal fractions), cross multiply by multiplying numerator and denominator of each fraction.
8/5=24/h 8h = 5*24 8h = 120 h=15
h/8=24/5 5h = 8*24 5h = 120 h= 24
h/5=24/8 8h =5*24 8h = 120 h=15
8/5=h/24 5h = 8*24 5h = 120 h=24
8/24=5/h 8h = 24*5 8h = 120 h = 15
5/8=h/24 8h = 5*24 8h =120 h = 15
h/5=8/24 24h =5*8 24h = 40 h = 5/3
1 cm equals to 10 mm, therefore 7000 mm = 700 cm.
