Answer:
67
Step-by-step explanation:
To round 67.498 to the nearest whole number consider the tenths’ value of 67.498, which is 4 and less than 5. Therefore, we have to round down: the whole number ones place value of 67.498, 67, remains 67, and the decimal point and all digits (.498) are removed.
67.498 rounded to the nearest whole number = 67
 
        
             
        
        
        
LCD (1/7, 14/7, 12/13, 5/6)
LCM = (7, 7, 13, 6)
=  2 * 3 * 7 * 13
=  546
1/7  = 78/546
14/7  = 1092/546
12/13  = 504/546
5/6  = 455/546
Calculation:
1/7 + 14/7 
= 1 + 14/7
=  15/7
The common denominator you can calculate as the least common multiple of the both denominators:   LCM (7, 7) = 7
Add:
15/7 + 12/13 
= 15 . 13/7. 13  + 12 . 7/13 . 7
= 195/91 + 84/91
=  195 + 84/91 
=  279/91
The common denominator you can calculate as the least common multiple of the both denominators:  LCM (7, 13) = 91
Add:
279/91 + 5/6
= 279 . 6/91 . 6 + 5 . 91/6. 91
= 1674/546 + 455/546
= 1674 + 455/546 
= 2129/546
The common denominator you can calculate as the least common multiple of the both denominators:  LCM (91, 6) = 546
Hence, 546 is the LCM/LCD of (1/7, 14/17, 13/13, 5/6).
Hope that helps!!!!!!
        
             
        
        
        
This is a geometric sequence with common ratio (r) = 2.
an = ar^(n - 1)
a4 = a(2)^(4 - 1) = a(2)^3 = 8a
8a = 80
a = 80/8 = 10
7th term (a7) = 10(2)^(7 - 1) = 10(2^6) = 10(64) = 640
        
             
        
        
        
F(x) is the same as y.......so basically ur subbing in ur points into the equation to see if it comes out equal.
f(x) = 3 - 2x.....(-2,-1)....x = -2 and f(x) = -1
-1 = 3 - 2(-1)
-1 = 3 + 2
-1 = 5.....this is not true, so it is not a solution
and that is how to do this problem.....
(-1,5)......this IS a solution
(0,3)......this IS a solution
(1,0)...this IS NOT a solution
(2,-1)...this IS a solution
        
             
        
        
        
Answer:
n = -5
Step-by-step explanation:
n - 4 = 3n + 6
n = 3n + 10
-2n = 10
n = -5