You find the square root of 576. The answer is 24
Answer:
-9/50
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
4[24-3(7x+6)]-6(4-14x)
4(24-21x-18)-24+84x
96-84x-72-24+84x
96-72-24-84x+84x
0 + 0
0
Answer:
$3 for Syd and $5 for Mark
Step-by-step explanation:
when Mark worked 8 hours and Syd worked 10 hours they earned $80
when Mark worked 9h Syd worked 5h they earned $65
we can make a equation out of these information
8M + 10S = $80
9M + 5S = $65 we can use the systems of equations by eliminating method
multiply second equation by -2
-2 × (9M + 5S) = $65
-18M - 10S = -$130 now add up the new equation with the first one
8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)
-10M = -$50
10M = $50
M = $5
we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)
9×5 + 5S = $65
45 + 5S = $65
5S = $15
S = $3
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
