Answer:
Required difference = 270/19 km
Step-by-step explanation:
If we consider the AP of distances to be
a, a + r, a + 2r, ..., a + 19r,
where a is the distance of the nearest location from the port and r is the difference between any two successive location.
Given that,
a + 19r = 300 .....(1)
a = 30 ..... (2)
Using (2), from (1), we get
30 + 19r = 300
or, 19r = 300 - 30
or, 19r = 270
or, r = 270/19
Therefore the distance between any two successive location is 270/19 km.
Let's get the same terms on the same side.
I am going to remove 5x from both sides of the equation by subtracting 5x
5x - 5x<span> -7 = 7x -</span>5x<span> - 17</span>
-7 = 2x - 17 now lets remove the 17 from both sides
-7 + 17 = 2x (why do we add 17? Think of 2x -17 as 2x + -17. Tor remove a negative number we add it.
Now we finally have 10=2x and if we divide both sides by 2
<u>10</u><span> = </span><u>2x</u><u>
</u>2 2 we get that x = 5
<u />Let's check by substituting 5 in the original equation:
5(5) - 7 = 7(5) - 17
25 - 7 = 35 - 17
<span>18 = 18</span>
Answer:
The option u chose is the correct one
