I cant really help you out with the last part since setting up the sum of three digits with two variable complicates things but here is the calculation and answer as follows:
let the number be a be represented as xyz (where x is the hundredth digit, y is the tenth digit and z is the one digit)
which means a = 100x+10y+z (equation 1)
if you add the three digits x+y+z = 19 (equation 2)
if you switch positions of the tenth digit and one digit then
a-27 = 100x + 10z +y (equation 3) (number diminish by 27 hence why a -27)
if you switch the position of the hundredth and tenth digit then
a+180 = 100y + 10x + z (equation 4) (number increases by 180)
if you use equation 1, 2, 3, and 4 and solve for x, y and z which gives you a then the number is 685.
Sorry for the long explanation but this was the first approach that came to mind might be more simpler ones and also one that helps you set up the sum of three digits with only 2 variables.
Rearrange the formula
E= VIT
ISOLATE I
E/VT = I
An inverse function produces points (y,x) for every point (x,y) produced by the parent function. So to find the inverse function, you solve for the independent variable and when done switch the variable labels....
y=x+5 subtract 5 from both sides
y-5=x now switch labels
y=x-5
So if f(x)=x+5
f^-1(x)=x-5
Answer:
3.5 hours
Step-by-step explanation:
Given: Distance= 26.2 miles
Speed= 12 km/h
First lets convert the unit of speed from kmh to mph.
Remember, 1 mile= 1.609 km
∴ For speed of 12 km/h= 
Speed= 7.45 mph
Next, find time taken by Allan to complete a Marathon.

⇒ Time= 
∴ Time= 3.516 hours ≅ 3.5 h (nearest tenth)
∴ Allan took 3.5 hours to complete marathon.
Answer:
This is not possible because the selling of number of AA batteries cannot be negative.
Step-by-step explanation:
Let us assume that the number of AAA batteries sells be x .
Let us assume that the number of AA batteries sells be y.
As given
Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560.
Equations becomes
x + y = 350
1.10x + 0.50y = 560
Simplify the above equation

110x + 50y = 56000
Two equations becomes
x + y = 350
110x + 50y = 56000
Multiply x + y = 350 by 50 and subtracted from 110x + 50y = 56000 .
110x - 50x + 50y - 50y = 56000 - 17500
60x = 38500

x = 641 .6 (Approx)
Put this value in the equation x + y = 350 .
641.6 + y = 350
y = 350 - 641.6
y = -291.6
This is not possible because the selling of number of AA batteries cannot be negative.