The marginal product of the labor which joan can make a bottle 8 smoothies in an hour and when she is wokring with her friend they can make a total of 18 bottle of smoothies an hour. The formula is 18 / 2 = 9.9 is the marginal product of labor.So the answer is C. 9
Answer:
The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.
The area you are looking for is the area of a rectangle plus the area of a triangle.
Thus, the total area will be
At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41
answer
the area of the city is 41 units^2
Step-by-step explanation:
41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.
Answer:
15/14
Step-by-step explanation:
I am assuming you meant. 3(x+1/2)
10x-6=3x+3/2
7x=3/2+12/2
7x=15/2
x=15/2*1/7
x=15/14
Answer:
x=55
Step-by-step explanation:
Since the two lines are parallel the two angles are same side exterior. This means their sum is 180. So to solve put them equal to 180, x+9+2x+6=180.
First, combine like terms
3x+15=180
Then, subtract 15 from both sides
3x=165
Finally, divide the entire equation by 3
x=55
It is the associative property. Just make it 70. That's what fills in the blank
