Answer:
Step-by-step explanation:
3x + 6y = 24
6y = -3x + 24
y = -3/6x + 24/6
y = -1/2x + 4 <=====
Answer:
Step-by-step explanation:
If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.
Therefore, if 
and 
vary inversely, their product will be the same for all values of 
and 
.
Let 
and 
as given in the problem. Substitute values:
Hence, the maintained product is 
.
Thus, we have the following equation:
Substitute 
to find the value of 
when :
Answer: 22.5 . The weight of the elephant is "22.5 times greater" than the weight of the lion.
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Explanation:
_________________________________________________________
(weight of lion) * (x) = (eight of the elephant) ; Solve for "x" .
_____________________________________________________
→ Divide each side of the equation by "(weight of lion)" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;
_________________________________________________________
→ (weight of lion)*(x) / (weight of lion) = (weight of the elephant) /
(weight of lion) ;
________________________________________________________
→ x = (weight of the elephant) / (weight of lion) ;
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→ Plug in our "given values" ; and solve for "x" ;
__________________________________________________________
→ x = (<span>9*10</span>³) / (4*10²) = (9*10⁽³⁻²⁾) / 4 = (9*10¹) / 4 ;
__________________________________________________________
→ x = 90 /4 = 25/2 = 22.5 ; which is our answer.
__________________________________________________________
Answer:
Step-by-step explanation:
We want to evaluate the following limit.
We need to recall that, limit of a sum is the sum of the limit.
So we need to find each individual limit and add them up.
Recall that, as 
and the limit of a constant, gives the same constant value.
This implies that,
This gives us,
The correct answer is D
3y-20+x+13=3x+9
3y-20+x+13+2y=180
3y-7+x=3x+9
3y=2x+16
y=2/3x+16/3
5y+x=187
5(2/3x+16/3)+x=187
10/3x+80/3+x=187
13/3x=481/3
x=37
