45 divided by 5 is 9, so it takes 9 minutes to cover 1 mile.
9 x 2 = 18.
Let, cost of 1 hot dog and 1 drink is x and y respectively.
Carl bought 4 hot dogs and 6 drinks and paid $23.80.
4x + 6y = 23.80 ....1)
Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.
4x + 2y = 15.40 ....2)
Subtracting equation 2 by 1, we get :
(4x + 6y) - (4x + 2y) = 23.80 - 15.40
4y = 8.4
y = $2.1
4x + 6×2.1 = 23.80
4x = 23.80 - 12.2
4x = 11.6
x = 2.9
Therefore, the cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.
Hence, this is the required solution.
Answers have to be more than or equal to 14
Subtitute f(x) with 2x + 1, and subtitute g(x) = -x + 4
f(x) = g(x)
2x + 1 = -x + 4
Then solve the equation above to find the value of x
Move the coefficient-variable x to the left side, and move the constants to the right side. When they are moved, addition becomes substraction, substraction becomes addition
2x + 1 = -x + 4
2x + x = 4 - 1
Simplify the equation
2x + x = 4 - 1
3x = 3
Move 3 on the left side to the right side, it becomes denominator
3x = 3
x = 3/3
x = 1
The solution to the equation is
x = 1
