Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
----------------------------------------------------
----------------------------------------------------
The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
Answer:
107
%
3
%
100
/8
Step-by-step explanation:
Find the number in the tenth place
8
8
and look one place to the right for the rounding digit
7
7
. Round up if this number is greater than or equal to
5
5
and round down if it is less than
5
5
.
7.9
Answer:
x=3/radical2,-3/radical2,3/4
Step-by-step explanation:
By factoring you get
4x(2x^2-9)-3(2x^2-9)=(2x^2-9)(4x-3)=0
x^2=9/2, x=3/4
x=3radical2/2, -3radical2/2 , 3/4
Answer:
$300 + $200x
Step-by-step explanation:
So to even use the studio you need to pay $300. For every hour you use the studio you have to pay $200 dollars. So the price would end up as $300 + $200x. The variable stands for how many hours Michael uses the studio.
