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.
Answer:
The difference between the vehicles is 0,009 gallons per mile.
Step-by-step explanation:
To know the difference between the vehicles in gallons per mile we need to obtain this information for each car:
-Sam´s van
Gallons per mile: 9 gallons/208.8 miles
Gallons per mile: 0.0431
-Hasan´s small car:
Gallons per mile: 8 gallons/234.4 miles
Gallons per mile: 0.0341
The difference between the vehicles is:
0.0431-0.0341= 0,009 gallons per mile
Answer:
Step-by-step explanation:
Given the expression
Remove parentheses: (a)=a
Group like terms
Add similar elements
∵ 
Add similar elements
∵ 
Thus, the equivalent expression in simplified form:
Ya that's correct u got the right answer
Answer:
14
Step-by-step explanation:
Since S is the midpoint of RT, then RS = ST
RS = RT - ST = (3x + 7) - (x + 7) = 3x + 7 - x - 7 = 2x
so we get that RS = 2x
but since RS = ST, and RS=2x & ST=x+7
then 2x = x + 7
2x-x = 7
x = 7
ST = x+7 = 7+7 = 14
P.S. Hope it makes sense. If you have any questions, feel free to ask them in the comments senction. I'll be happy to help. Have a wonderful day!
