Answer:
d
Step-by-step explanation:
5x -2
Answer choices:
a. 2-5x
b. 3-5 +2x
c. 5x-2x
d. 2x-2+3x
a.
2-5x can be rewritten as -5x+2, which is not the same as 5x-2
b. 3-5 + 2x can be rewritten as -2 + 2x or 2x-2 which is not equivalent to 5x-2
c. 5x-2x is 3x
3x doesn't equal 5x-2
d. 2x+3x-2 = 5x-2
This expression is equivalent to 5x-2
6 pies.
If 8 teachers finish one whole pie, and they need to feed 47, then they need 6 pies with 8 slices each aka 48 slices total, there will be one slice leftover for the principal :D
99,999,999 + (-4) is basically 99,999,999 - 4
99,999,999 - 4 = 99,999,995
Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
- The new length of the cardboard = 15 -2x (because we cut from 4 corners)
- The new width of the cardboard = 7 -2x (because we cut from 4 corners)
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V =
To maximum volume, we use the first derivative of the volume
<=> 
<=> 
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
= 24(3/2) -88 = -52
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches
It is most likely 14 units so it would be A. I think.