Answer:5 people were in each car.
Step-by-step explanation:
Let x represent the number of people that travelled in each car.
The total number of people in the Bailey family that made the trip to the drive-in movie theater was 42.
Seven cars filled and 7 more people traveled in a truck. This means that
7x + 7 = 42
Subtracting 7 from the left hand side and the right hand side of the equation. It becomes
7x + 7 - 7 = 42 - 7
7x = 35
Dividing the left hand side and the right hand side of the equation by 7, it becomes
7x/7 = 35/7
x = 5
Answer:
Step-by-step explanation:
Answer:
From the information given
x is time for which she ran at speed of 6mi/h and
y is time for which she biked at speed of 12.5 mi/h
total time = 3.5 h
total distance = 34 mi
so
6x + 12.5y = 34 and
x + y = 3.5
x = 3.5 - y
6 ( 3.5 - y) + y = 34
6.5y = 13 which gives
y = 2 and this
x = 1.5
so suze ran for 1.5 h and biked for 2 h
CHECK
speed of run X time of run + speed of biking x time of biking must be = total distance covered
6 × 1.5 + 12.5 × 2 = 9 + 25= 34 mi
which is true
Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
Answer:
1,600
You find the answer by putting 80% into a decimal (0.80) and multiply that by 2,000.