Answer:
if x is the number of miles driven, the equation is 2.25x + 12=30. solved: x = 8 miles
Step-by-step explanation:
First, you make the equation. If x is the number of miles, the price per mile would be 2.25 times x or 2.25x. You also have to add the one time fee of $12, so you have 2.25x + 12. Next, you're trying to find x if it costs $30 total so you would have 2.25x + 12 = 30.
Solving,
2.25x + 12 = 30
subtract 12 from both sides
2.25x = 18
divide both sides by 2.25
x = 8 miles
(8+12) > side > |8-12|
20 > side > 4, Then 4 cm is the solution.
Whit a triangle solver: http://triancal.esy.es/?a=8&b=12
This question revolves around the concept of domain (primarily) and range (secondarily). The domain of the square root function is [0, +infinity).
The domain of "three times the sqrt of a" shares that domain: [0, +infinity).
We were not asked to come up with the range, but if the range is wanted, it is
[0, +infinity).
Answer:
we need to prove : for every integer n>1, the number
is a multiple of 5.
1) check divisibility for n=1,
(divisible)
2) Assume that
is divisible by 5, 
3) Induction,



Now, 



Take out the common factor,
(divisible by 5)
add both the sides by f(k)

We have proved that difference between
and
is divisible by 5.
so, our assumption in step 2 is correct.
Since
is divisible by 5, then
must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number
is a multiple of 5.
Answer:
9604
Step-by-step explanation:
V = (7/3)³ × 756
= 343/27 × 756
= 9604 ft³