Answer:
The answer is (-4/3)
Step-by-step explanation:
3(x − 4) = 12x
Multiply (x – 4) by 3 we get,
3(x – 4) = 12x
3x – 12 = 12x
3x – 12x – 12 + 12 = 12x – 12x + 12
-9x = 12
-9x/(-9) = -12/9
x = -4/3
Thus, The value of x is -4/3
<u>-TheUnknownScientist 72</u>
Answer:
Required largest volume is 0.407114 unit.
Step-by-step explanation:
Given surface area of a right circular cone of radious r and height h is,
and volume,

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,
subject to,

We know for maximum volume
. So let
be the Lagranges multipliers be such that,



And,



Substitute (3) in (2) we get,



Substitute this value in (1) we get,



Then,

Hence largest volume,

The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is = x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27 ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y
9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4
x=5-y
x=5-4=1
The number is: 10x+y=10(1)+4=14
Answer: the number is 14
The answer is F. 164 tickets were sold for $8 each
Answer: A and D
Explanation -
Parallel lines have the same slope