Answer: In the last steps, instead of multiply each side by 3, he has to divide each side by 3.
Step-by-step explanation:
Hi, Tobin makes the mistake in the last steps.
3(x-1.25) = 11.25
3x-3.75= 11.25
3x-3.75+3.75= 11.25+3.75
3x = 15
Until this step is the work ok.
Now, instead of multiply each side by 3, he has to divide each side by 3:
So:
3x /3 = 15/3
x = 5
Feel free to ask for more if needed or if you did not understand something.
X+2.6=1.7
x+12=7
x+12-12=7-12 (subtract 12 from both sides)
x=-5
To find equivalent inequalities you have to work the inequality given.
The first step is transpose on of sides to have an expression in one side and zero in the other side:
x - 6 x + 7
--------- ≥ --------
x + 5 x + 3
=>
x - 6 x + 7
--------- - -------- ≥ 0
x + 5 x + 3
=>
(x - 6) (x + 3) - (x + 7) (x + 5)
--------------------------------------- ≥ 0
(x + 5) (x + 3)
=>
x^2 - 3x - 18 - x^2 - 12x - 35
--------------------------------------- ≥ 0
(x + 5) (x + 3)
15x + 53
- ------------------- ≥ 0
(x + 5) (x + 3)
That is an equivalent inequality. Sure you can arrange it to find many other equivalent inequalities. That is why you should include the list of choices. Anyway from this point it should be pretty straigth to arrange the terms until making the equivalent as per the options.
I’m guessing 108. 45 divided by 5 is 9, so 9 times 12 is 108.
Answer:
Option 3 - 4 miles
Step-by-step explanation:
Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.
To find : How far apart are the police station and the fire station?
Solution :
Let the distance between police station and fire station be 'x'.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
i.e. 
The distance between the library and the police station is 5 miles.
i.e. 
Therefore, The police and fire stations is 4 miles apart.
So, Option 3 is correct.
