Answer:
(11, ∞).
Step-by-step explanation:
3 (x+2)+9<6(x-3)
3x + 6 + 9 < 6x - 18
-3x < -18 - 6 - 9
-3x < -33
x > 11 (Note the inequality flips as we are dividing by a negative value).
<u>Given</u>:
Let the two numbers be x and y.
Two numbers multiply to be -7 and add to be -6.
This can be written in equation as,
and

<u>Value of the two numbers:</u>
Let us determine the value of the two numbers using substitution method.
Substituting
in the equation
, we get;

Simplifying, we get;




Thus, the values of x are x = 1,-7
When x = 1 , the equation
becomes 
When x = -7, the equation
becomes 
Therefore, the two numbers are 1 and -7
Use the rule of 3, note that we will convert the hours to minutes:
60 - 84
75 - x
(75 * 84) / 60 = x
6,300 / 60 = x
105 = x
105 minutes = 1h 45m
Hope it helped,
Happy homework/ study/ exam!
Answer:
There are 176 women in the company.
Step-by-step explanation:
Let number of men are 5x and number of women are 8x.
Total number of employees in the company are 286.
But according to given condition, total no of employees are :

Total no of women are 8x. It means
. Hence, there are 176 women in the company.