Answer:
k=2.1
Step-by-step explanation:
7/10k=21
x7 x7 Multiply seven from each side of the equation.
10k=21
/10 /10 Divide ten from each side of the equation. 21/10=2.1
k=2.1
Answer:
8th term is 179.15904
Step-by-step explanation:
The sequence is geometric with a common ration = 6/5
r = 60/50 = 72/60 = 6/5
Use the formula
In your case a = 50, r = 6/5 and n = 8
0.08 if 4 divided by 50
12.5 if 50 divided by 4
Answer:
4 horses and 8 ducks.
Step-by-step explanation:
Let the number of ducks be d and the number of horses be h.
d + h = 12
Now ducks have 2 feet and horses have 4 so:
2d + 4h = 32
Multiply the first equation by 2
2d + 2h = 24
Subtract this equation from the second equation:
4h - 2h = 32 - 24
2h = 8
h = 4.
So there were 4 horses and 12 - 4 = 8 ducks.
Answer:
17,37
Step-by-step explanation:
one number = x
The positive number = 2x + 3
x * (2x+3) = 629
x*2x + x *3 = 629
2x² + 3x - 629 = 0
2x² - 34x + 37x - 17*37 =0
2x*(x -17) + 37(x - 17) = 0
(x - 17)(2x + 37) = 0
x - 17 = 0 ; Ignore 2x + 37 as s is a positive number
x = 17
Positive number = 2*17 +3 = 34+3 = 37
