Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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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).
9514 1404 393
Answer:
-14
Step-by-step explanation:
Answer:
x3 would be the answer. the next 3 numbers would be 486, 1458, and 4374
The first thing you want to do is combine like terms
4 + 5x = 12x -10
and make x on one side alone
14 = 7x
divide by 7 to make x alone
2 = x
The answer is 2
Answer:
small: 6.25
large: 18.25
Step-by-step explanation:
Set the large boxes as x and the small boxes as y (The weight is the constant).
3x+5y=86
6x+2y=122
Now just solve the systems of equations using either substitution or elimination.
-6x-10y=-172 multiply the whole equation by -2 to eliminate
6x+2y=122, add the equations
-8y=-50
y= 6.25
Plug in y either equation:
3x+5(6.25)=86
3x=86-31.25
3x=54.75
x=18.25
Each small box weighs 6.25 kilograms, each large box weighs 18.25 kilograms, to check plug in the values to the other equation to see if they add up correctly.
