-3(5 + 8x) - 20 ≤ -11  |use distributive property: a(b + c) = ab + ac
-15 - 24x - 20 ≤ -11
-35 - 24x ≤ -11    |add 35 to both sides
-24x ≤ 24      |change signs
24x ≥ -24    |divide both sides by 24
x ≥ -1
        
             
        
        
        
Answer:
10
Step-by-step explanation:
18-8=10
 
        
             
        
        
        
Answer:
18
Step-by-step explanation:
From the rectangle, M O = NP
4x - 10 = 2x+4
4x-2x = 4 + 10
2x = 14
x = 14/2
x = 7
SInce MO and NP are the diagonal
Length of diagonal = 4x- 10
Length of diagonal = 4(7) - 10
Length of diagonal = 28 - 10
Length of diagonal = 18
hence the required length is 18
 
        
             
        
        
        
Answer:
b. option Is the correct answer right
 
        
             
        
        
        
Answer:
Therefore  , A=184
, A=184
Step-by-step explanation:
Given function is 

where T(t) is the temperature in °C and t is time in minute and A and k are constants.
She noticed that after 18 minutes the temperature of the pie is 138°C
Putting T(t) =138°C and t= 18 minutes


 .....(1)
 .....(1)
Again after 36 minutes it is 184°C
Putting T(t) =184°C and t= 36 minutes


 .......(2)
.......(2)
Dividing (2) by (1)


Taking ln both sides




Putting the value k in equation (1)





⇒A= 184.
Therefore  , A=184
, A=184