Answer:
23.4
Step-by-step explanation:
100-53=47
47/2=27.5
2/754 = 0.00265251989. So, its around 0.0027
Sn=n/2 (2a1 +(n-1)d)
[s5= 5/2 (2a1 +(5-1)d) = 5a1+10d]
s6=3(2a1+5d) = 6a1+15d
s4=2(2a1+3d) = 4a1+6d
6a1+15d -(4a1+6d) = 5 -----(1)
s7=7/2(2a1+6d) =7a1+21d
6a1+15d + 7a1+21d = 21 -----(2)
(1) 2a1+9d=5 -----(3)
(2) 13a1+36d=21 ----(4)
(3)*4 ; 8a1+36d=20 ----(5)
(4)-(5) 5a1 = 1
so a1 = 1/5
(3) 2a1+9d=5
2(1/5)+9d = 5
9d = 5-2/5 =23/5
d = 23/45
so [s5= 5/2 (2a1 +(5-1)d) = 5a1+10d = 5(1/5) + 10(23/45) = 1 + 5.11 = 6.11 ]
i'm not sure about the answer but the process is correct
The quantity of liters of the 2% and 66% solutions should you mix together is 4.75 and 11.25 liters.
let
- x = liters of 2% solution
- y = liters of 66% solution
x + y = 16
0.02x + 0.66y = 0.47 × 16
from (1)
x = 16 - y
Substitute into (2)
0.02x + 0.66y = 0.47 × 16
0.02(16 - y) + 0.66y = 7.52
0.32 - 0.02y + 0.66y = 7.52
- 0.02y + 0.66y = 7.52 - 0.32
0.64y = 7.20
y = 7.20/0.64
y = 11.25 liters
Substitute y = 11.25 liters into (1)
x + y = 16
x + 11.25 = 16
x = 16 - 11.25
x = 4.75 liters
Learn more about linear equation:
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Answer:
Step-by-step explanation:
It is given that,
The average distance between the Earth and the Moon is 384 400 km.
We need to express in in standard form.
1 km = 1000 m
It means,
384400 km = 384400000 km
or
=
Hence, the average distance between the Earth and the Moon is .
