Answer:
The answer is below
Step-by-step explanation:
a company decided to increase the size of the box for the packaging of their alcohol products. the length of the original packaging box was 40 cm longer than its width and the height 12 cm, volume was at most 4800 cm3. Suppose the length of the new packaging box is still 40cm longer than its width and the height is 12cm, what mathematical statement would represent the volume of the new packaging box?
Solution:
Let the width of the box be x cm.
The length of the box is 40 cm longer than the width, therefore the length of the box = x + 40
The height of the box = 12 cm
The volume of the box can be gotten from the formula:
Volume = length × width × height
Substituting:
Volume = (x + 40) × (x) × 12
Volume = 12x(x + 40)
Therefore the volume of the new box is 12x(x + 40)
Answer:
One solution
Step-by-step explanation:
We know there is only one solution because the lines do not have the same slope, nor are they the exact same line.
So we know they must have just one solution.
Best of luck
Formula for perimeter of a rectangle: P = 2W + 2L
Here, P = 2(x-3 ) cm + 2(3x+7) cm = 2x - 6 + 6x + 14 (cm)
Combine like terms: 8x + 8 cm (simplest form) This is the perimeter.
Now let x = 4: P(x=4) = 8(4) + 8 cm = 40 cm
Answer:
5 is the answer
Step-by-step explanation:
hope this helps