Answer:
60
Step-by-step explanation:
Multiples of 20:
20, 40, <u>60</u>, 80, 100
Multiples of 30:
30, <u>60</u>, 90, 120
so the LCM(20, 30)=60
Hope this helps!! <3
 
        
             
        
        
        
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of  
8
 is somewhere between  
2
 and  
3
. Since  
8
 is much closer to  
9
=
3
2
 than  
4
=
2
2
, we can deduce that the closest integer to the square root is  
3
.
We can use this proximity of the square root of  
8
 to  
3
 to derive an efficient method for finding approximations.
Consider a quadratic with zeros  
3
+
√
8
 and  
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards  
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
 
        
             
        
        
        
Answer: I think it’s 4032 
Step-by-step explanation:
 
        
             
        
        
        
Answer:  i. Cost of adult ticket = $ 30 
ii.  Cost of child ticket = $20
Step-by-step explanation:
Define variables:
 Let x= cost of 1 adult tickets , y= cost of 1 child tickets.
Form linear equations:
5x+3y = 210      (i)
2x+5y= 160  (ii)
Multiply (i) by 2 and (ii) by 5
10x +6y = 420       (iii)
10x+25y = 800        (iv)
Eliminate (iii) from (iv)
19y = 380
⇒ y= 20
Put this in (i)

Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20
 
        
             
        
        
        
Answer:
449 100
Step-by-step explanation:
0.2% × 450000÷ 100=900
450000-900= 449 100