<h2>
Answer:</h2><h2>21,31,51,61,71,12,13,15,16,17,</h2>
Answer:
see below
Step-by-step explanation:
The ratio of terms that are two terms apart (s4 and s6) is the square of the common ratio:
s6/s4 = r^2
r = √(8/18)
r = 2/3 . . . . . matches choices A and C
__
Using the formula for the general term, we now know enough to find the first term:
sn = s1·r^(n-1)
s4 = s1·(2/3)^(4-1)
Using s4 = 18 and multiplying by (2/3)^-3, we get ...
18·(2/3)^-3 = s1 = 18·27/8
s1 = 243/4 . . . . . matches choice A
Answer:
Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.
Step-by-step explanation:
Let, the company make x liters of drink A
The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .
Given drink A contains 20% real fruit.
Therefore x liters of drink A contains
liters
liters real fruit.
Drink B contains 5% real fruit juice.
(80+x) liters of drink B contains
liters
liter real fruit.
The company used 56.5 liters of real fruit juice to make Drink A and Drink B.
According to the problem,


⇒80+5x = 56.5×20
⇒80+5x=1130
⇒5x=1130-80
⇒5x=1050

⇒x=510
Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.
Answer:
MK = 14
Step-by-step explanation:
MK = ML + LK , substitute values
4x - 2 = 8 + x + 2
4x - 2 = x + 10 ( subtract x from both sides )
3x - 2 = 10 ( add 2 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Thus
MK = 4x - 2 = 4(4) - 2 = 16 - 2 = 14