Answer:
Step-by-step explanation:
C. -11<x<-4
|-2x-15|<7 split into possible cases
- 2x - 15 < 7, - 2 x - 15 > 0
-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities
x>-11, x < -15/2
x< -4, x> -15/2 Find the intersections
[ -11, -15/2 ]
-15/2, -4] Find the union
[-11, -4 ] Simplify
-11<x<-4
Ratio given 1:2
Let's suppose the ratio as x : 2x
Adding the ratio = 3x
40 and 80 are in the ratio 1:2 of 120.
Hope it helps!!!
Answer:
The simplified form is 
.
Step-by-step explanation:
Given : Expression 
To find : The simplified expression ?
Solution :
Expression
Multiply 3 both side,
Therefore, the simplified form is .
Answer:
36,060,024 ways
Step-by-step explanation:
To choose the winner in this case, the order is very important because it determines who is chosen first out of the seventy-nine customers whose names were entered for the draw.
The above supports the reason Permutation will be used instead of Combination.
The total number of ways is given by:
⁷⁹P₄ = 79!/(79-4)!
= 79!/75!
= [79 x 78 x 77 x 76 x75!]/75!
= 79 x 78 x 77 x 76
= 36,060,024 ways
This implies that there are 36,060,024 ways the Bean Coffee Shop could choose the winners.
I hope this helps you
Perimeter =2 (width +length )
324=2 (67+length )
162-67=length
length =95
