Answer:
6
Step-by-step explanation:
25x5=125
750 divided by 125 =6
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Answer:
The area will decrease by 9%.
Step-by-step explanation:
The area of a rectange is given by the formula below.
Let the original length and width of the rectangle be L and W respectively.
Start by finding the original area:
<u>Original </u><u>dimensions</u>
Length= L= 100%L
Width= W= 100%W
Original area= LW
Let's find the dimensions of the new rectangle in terms of L and W.
<u>New dimensions </u>
Length= (100% +30%)L= 130%L
Width= (100%-30%)W= 70%W
New area
= 91% LW
Comparing the new area with the original area:
100% LW- 91% LW= 9% LW
∴ The area will decrease by 9%.
*Note that percentage is equivalent to dividing a number by 100.
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
Answer:
l and 3, 2 and 4, 5 and 11, 8 and 16
Step-by-step explanation:
you would put the one over 3 then 2 over 4 then 5 over 11 then 8 over 16 then put it in a equation and solve
