To solve his equation start by finding how many gallons of gas you need to purchase for the total trip.
Set up an expression that divides the total distance of the trip by the miles received per gallon.
This gives you:
400 / 35
Divide to get 11.43 gallons.
To find the cost of this, multiply the total number of gallons needed to cover the trip by the cost of each gallon.
Set this up in another expression.
This results in:
11.43 x 3.30
Multiply the values to find the total cost.
This leaves you with:
37.72
So, the total cost for gas for a 400 mile trip on 35 miles per gallon is $37.72.
I hope this is correct and helps you! :)
There are NO SOLUTIONS.
Substitute the first equation for y in the second equation. You can see it does not work. 6 does not equal 8. Therefore there are no solutions.
The longest side of a triangle must be less than the sum of the other 2 sides
2 senarios
the 3rd side is the longest
the 3rd side is not the longest
for the 3rd side is the longest
3rdside<28+42
3rdside<70
for 3rd side isn't the longest
42 is longest
42<28+3rdside
14<3rdside
so we've got
3rdside<70 and 14<3rdside
so
14<3rdside<70
the 3rd side can be any number from 14in to 70in except 14in and 70in
If you do a check (plug in your answer to y) that would be your reason
Parameterize
by

with
and
.
Then the surface element is

and the surface integral is
