After an increase of 25% a security guard at a gas station got a new weekly pay check of $800 what was his original pay per week before the increase

The original salary of the guard was  $640 per week before the increase.

Step-by-step explanation:

Let the original salary of the guard  = $ m

Now, increase in the salary = 25%

or, increase in the salary = 25% of m

25%  of m =  

So, the Increased salary = Original Salary + Increment

= $ m + $ 0.25 m    

= $(1.25) m

Also, the increased salary =  $ 800

⇒  $(1.25) m   = $ 800

or, 1.25 m  = 800  ⇒ m= 800/1.25

or, m = 640

Hence, the original salary of the guard = m = $640

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1