Answer:
a = 2 , r = 5
Step-by-step explanation:
The n th term of a geometric progression is
= a
where a is the first term and r the common ratio
Given the 4 th term is 250, then
ar³ = 250 → (1)
Given the 7 th term is 31250, then
a
= 31250 → (2)
Dividing the 2 equations gives
= 
, that is
r³ = 125 ← take the cube root of both sides
r = ![\sqrt[3]{125}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D)
= 5
Substitute r = 5 into (1)
a × 5³ = 250, that is
125a = 250 ( divide both sides by 125 )
a = 2
I think it is 25% but you need to work out ;)
By the commutative property of addition, the answer you got
c = -b+5a
is identical to selection ...
D. c=5a-b
The commutative property tells you the order of addition doesn't matter, so
(-b)+(5a) = (5a)+(-b) = 5a-b
(This is one of the reasons we study these properties.)
Answer:
So if PT=TQ and TQ=7x-9
PT=5x+3=TQ=7x-9
5x+3=7x-9
minus 5x both sides
3=2x-9
add 9 both sides
12=2x
divide 2
6=x
PT=5x+3
PT=5(6)+3
PT=30+3
PT=33
PT=QT=33
x=6
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6 votes
The long piece is 4 times the length of the short piece.
Short piece = 1 time
Long piece = 4 times
--------------------------------
Full rope = 5 times
5 times = 70 inches
Divide each side by 5 : 1 time = 14 inches
<em>Short piece</em> = 1 time = <em>14 inches</em>
<em>Long piece</em> = 4 times = 4 x 14inches = <em>56 inches</em>
<u>Check:</u>
Ratio of long to short = 56inches / 14inches = <u>4</u>
Sum of both pieces = (56 + 14) = <u>70 inches</u>
yay !
