We calculate the speed by dividing the distance over time:
s = d/t
So the distance described in the problem is always the same, A to B and B to A.
But we are told that;
7 = d/t
7 = 2d/(t + 2)
that is, the first equation say that at speed 7 km/h a distance d is walked in a time t
the second equation say that at a average speed of 7 (that is 8 on one way and 6 in the other: 8 + 6 = 14, half of it), twice the distance is walked in a time equal to the first time plus 2 minutes.
So we have a system of linear equations, 2 of them with two unknowns, we can solve that:
7 = d/t
7 = 2d/(t + 2<span>)
</span>lets simplify them:
7t = d
7(t + 2) = 2d
7t = 2d - 14
we substitute the first in the second:
<span>7t = 2d - 14
</span><span>7t = d
</span>so:
d = 2d - 14
d = 14
so the distance between A and B is 14 km
$7.44
Hope I helped!!
giving me brainliest is much appreciated.. =)
Make sure you have a common denominator first so it would be
9/16x = 12/16 (you multiply 3/4 by 4/4 to get the bottom to equal 16)
Afterwards, times 16 on each side to get rid of it. Then you get 9x = 12
By dividing 9 on each side to isolate the variable, you would get x = 12/9
Afterwards, simplify it.
x = 4/3
Answer:
The initial value is 11.2149
Step-by-step explanation:
Answer:
Step-by -step explanation:
Solving inequalities is similar to solving equations.
Subtract 10 from both sides.
Divide by 5 from both sides to isolate the x.
