Answer: 72 miles.
Step-by-step explanation:
We know the relationship:
Distance = speed*time.
Then we can write the equation for distance as a function of time for Ali as:
A(t) = 12mph*t
where t is time in hours.
Fatimah's equation will be:
F(t) = 18mph*(t - 2h)
where the -2h appears because she starts two hours after Ali.
Fatimah will overtake Ali when F(t) = A(t) (their positions are the same)
Then we need to solve:
12mph*t = 18mph*(t - 2h)
12mph*t = 18mph*t - 18mph*2h
12mph*t = 18mph*t - 36 mi
36 mi = (18mph - 12mph)*t
36mi = 6mph*t
36mi/6mph = t
6h = t
So Ali travels for 6 hours before he gets overtaken, then the total distance that Ali travels is:
A(6h) = 12mph*6h = 72 mi
X=2
you multiply by 8 on both sides. so that your equation now looks like x-2=0
then you will add by 2 on both sides.
x=2
Answer:
L = 38/W
Step-by-step explanation:
The area of a rectangle is computed by multiplying length by width. For length L and width W in inches, your rectangle has area ...
A = LW
38 = LW
Then the length can be found by dividing the equation by W:
L = 38/W
Answer:
2 students from each 15 classrooms
Step-by-step explanation:
"The number of boys and girls is approximately equal" is probably the most random sample, that is if the whole topic of the publication is Lorrie and her experimenting endeavors. If that is not the subject, then "Lorrie wants to determine the average amount of time that students at her school spend on the computer each day" is the most strange and random
8x + y = -16 ;
3x - y = 5 ;
____________(+)
11x = -11;
x = - 11 / 11 ;
x = - 1;
y = -5 + 3 * ( - 1 ) = - 8.
