3/10 so out of the 10 7 people score above average because 10-3=7 and 7+3= 10 7 and 3 make a whole please give me points and mark as brainless
Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
Answer: 1/2
Step-by-step explanation: To find out what fraction is greater, notice that the fractions that we're comparing in this problem have different denominators.
When fractions have different denominators, they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 2 and 12 will be the least common multiple of 2 and 12 which is 12.
To get a 12 in the denominator of 1/2, we multiply the numerator and the denominator by 6 which gives us 6/12.
Notice that 1/12 already has a 12 in the denominator so now we are comparing like fractions since both of them has a 12 in the denominator.
To compare like fractions, we simply look at the numerators. Since 6 is greater than 1, this means that 6/12 is greater than 1/12.
Therefore, 1/2 is greater than 1/12.
