Speed = Distance / time
Distance = Speed x time
In t hours, first plane travels = 600 t miles
In t hours, the second plane travels =150 t miles
After t hours the distance between the two planes is:
(600t+150t)= 750t ( since both travel in opposite directions)
When the distance is 900 miles:
750t= 900
Solve for t:
t= 900/750
t= 1.2 hours
After 1.2 hours.
1.2 x 60 = 72 minutes = 60 +12 = 1 hour and 12 minutes
Since both leave at 10 pm:
10am + 1 hour and 12 minutes : 11:12 am
They will be 900 miles apart at 11:12 am
Each one traveled:
Plane 1:
Distance: Speed x time = 600 mph x 1.2 = 720 miles
Plane 2:
Distance = Speed x time = 150 mph x 1.2 = 180 miles
Answer:
$16
Step-by-step explanation:
Gary has $4. (given)
Mary has twice as many dollars as Gary, so Mary has 2×$4 = $8.
Larry has 4 fewer dollars than Mary, so Larry has $8 -4 = $4.
Gary, Mary, and Larry together have $4 +8 +4 = $16.
Answer:
C. f(x) = 3·x + 2, g(x) = 7·x + 6
Step-by-step explanation:
The given equations relates to the property of equality of values;
The given formula for the association between f(x) and g(x) is f(x) = g(x)
The given equation of two expressions is 3·x + 2 = 7·x + 6
By transitive property of equality, the two above equations are correct when f(x) = 3·x + 2 and g(x) = 7·x + 6
Therefore, the function that may be used to represent the equation is option C; f(x) = 3·x + 2, g(x) = 7·x + 6.
Transpose the equation:
8x+6y=30
First minus 8x from each side of the equation.
6y=30-8x
Then divide each side by 6.
y=5-1.33x or if you want the answer in exact form:
y=5-4/3x
The slope is 4/3 or 1.333.
