Answer:
3/8 of the day
Step-by-step explanation:
A day is 24 hours
You spend 9 of them sleeping
The fraction you spend sleeping is
9/24
You can simplify the fraction by dividing the top and bottom by 3
9/3 = 3
24/3 = 8
3/8
(6.0 x 10^5) x (3.0 x 10^4) = (6 x 3) x 10^(5 + 4) = 18 x 10^9 = 1.8 x 10^10
Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
For this translation, you need to replace every occurrence of "x" with "x-3", and every occurrence of "y" with "y+5".