Answer:
He can work a maximum of 2 8-hour days for the remainder of the week
Step-by-step explanation:
Firstly, from the question, we are made to know that the maximum work hours is 40 hours.
Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours
Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week
Mathematically, that would be 16 hours divided by 8-hours days
That is 16/8 = 2
Hi there! :)
<u>Answer:</u>
7 1/2 lies between the two whole numbers <u>7</u> and <u>8</u>.
Step-by-step explanation:
"<u>Whole numbers</u>" are numbers without fractional or decimal parts and no negatives.
The first whole number <u>BEFORE</u> 7 1/2 is 7.
The first whole number <u>AFTER</u> 7 1/2 is 8.
There you go! I really hope this helped, if there's anything just let me know! :)
<span>Constraints (in slope-intercept form)
x≥0,
y≥0,
y≤1/3x+3,
y</span>≤ 5 - x
The vertices are the points of intersection between the constraints, or the outer bounds of the area that agrees with the constraints.
We know that x≥0 and y≥0, so there is one vertex at (0,0)
We find the other vertex on the y-axis, plug in 0 for x in the function:
y <span>≤ 1/3x+3
y </span><span>≤1/3(0)+3
y = 3.
There is another vertex at (0,3)
Find where the 2 inequalities intersect by setting them equal to each other
(1/3x+3) = 5-x Simplify Simplify Simplify
x = 3/2
Plugging in 3/2 into y = 5-x: 10/2 - 3/2 = 7/2
y=7/2
There is another vertex at (3/2, 7/2)
There is a final vertex where the line y=5-x crosses the x axis:
0 = 5 -x , x = 5
The final vertex is at point (5, 0)
Therefore, the vertices are:
(0,0), (0,3), (3/2, 7/2), (5, 0)
We want to maximize C = 6x - 4y.
Of all the vertices, we want the one with the largest x and smallest y. We might have to plug in a few to see which gives the greatest C value, but in this case, it's not necessary.
The point (5,0) has the largest x value of all vertices and lowest y value.
Maximum of the function:
C = 6(5) - 4(0)
C = 30</span>
Answer: 0.2
Step-by-step explanation:
I just found to answer the question "what 15 divided by 75 means", is to answer the question with a question: How many times does 75 go into 15 and I found it!
