Answer:
x = 2
Step-by-step explanation:
5(x + 1) = 4x + 7
5x + 5 = 4x + 7
x + 5 = 7
x = 2
1 mile is equal to 5280 feet
Add 900 to it:
5280 + 900 = 6180
6180 is less than 6200, so 1 mile and 900 feet is less than 6200 feet.
Set up two equations:
1st: P (for Price family) + J (for Jenkins family) = 45 hours
2nd: 20P + 35J = 1200 liters
Rewrite the first equation as P = 45 – J
Replace P in the second equation:
20(45-J) + 35J = 1200
Simplify:
900 -20J + 35J = 1200
900 +15J = 1200
Subtract 900 from both sides:
15J = 300
Divide both sides by 15:
J = 300/15
J = 20
Jenkins used theirs for 20 hours
Price used theirs for 45-20 = 25 hours.
These lines are perpendicular!
y = x
y = -x–2
The slopes are reciprocals of each other, so they are perpendicular.