Answer:
B
Step-by-step explanation:
B. 48
9/12 must equal the x/64. 64/12 is 5.33333 repeating so multiply 9 x 5.33333 repeating would equal to 48
Let width = w
Let length = l
Let area = A
3w+2l=1200
2l=1200-3w
l=1200-3/2
A=w*l
A=w*(1200-3w)/2
A=600w-(3/2)*w^2
If I set A=0 to find the roots, the maximum will be at wmax=-b/2a which is exactly 1/2 way between the roots-(3/2)*w^2+600w=0
-b=-600
2a=-3
-b/2a=-600/-3
-600/-3=200
w=200
And, since 3w+2l=1200
3*200+2l=1200
2l = 600
l = 300
The dimensions of the largest enclosure willbe when width = 200 ft and length = 300 ft
check answer:
3w+2l=1200
3*200+2*300=1200
600+600=1200
1200=1200
and A=w*l
A=200*300
A=60000 ft2
To see if this is max area change w and l slightly but still make 3w+2l=1200 true, like
w=200.1
l=299.85
A=299.85*200.1
A=59999.985
Answer:
37 and 38.
Step-by-step explanation:
Let the smaller integer be x.
Thus, the larger integer is (x+1) since it is consecutive.


Subtract both sides by 1:


Divide both sides by 2:


To find the other number, simply add 1 to 37 to get 38.
Answer:
27
Step-by-step explanation:
r = 9
s = 6
r^2
= r x r
= 9 x 9
= 81
13s
= 13 x 6
= 108
13s - r^2
= 108 - 81
= 27
The answer is C because you just turn it upside down