<h3>Given</h3>
a cuboid with length, width, height dimensions 5, 6, x
<h3>Find</h3>
the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume
<h3>Solution</h3>
The volume is given by
... V = L·W·H = 5·6·x = 30x
The area is given by
... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x
When these are equal, we have
... 30x = 60 +22x
... 8x = 60
... x = 7.5
The desired value of x is 7.5.
Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2
The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.
If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,
Answer:
Winchester Heights Middle School plan to have 385 students in the upcoming school year.
Step-by-step explanation:
Total number of students in the seventh grade at Winchester Heights Middle School = 350
For the upcoming school year, they are planning to increase the number of seventh graders by 10%.
Rate of increase = r = 10% = 0.1
Formula :
Where
= initial population = 350
r = rate of increase =0.1
N(t)=Population after t years
t = time in years
So, Population after 1 year = 
Hence Winchester Heights Middle School plan to have 385 students in the upcoming school year.
Answer:
X = 3
Step-by-step explanation: