Step 1: Simplify both sides of the equation.
37
=
−
3
+
5
(
x
+
6
)
37
=
−
3
+
(
5
)
(
x
)
+
(
5
)
(
6
)
(Distribute)
37
=
−
3
+
5
x
+
30
37
=
(
5
x
)
+
(
−
3
+
30
)
(Combine Like Terms)
37
=
5
x
+
27
37
=
5
x
+
27
Step 2: Flip the equation.
5
x
+
27
=
37
Step 3: Subtract 27 from both sides.
5
x
+
27
−
27
=
37
−
27
5
x
=
10
Step 4: Divide both sides by 5.
5
x
5
=
10
5
x
=
2
        
             
        
        
        
We are given with 7.5 moles of oxygen and 7.43 moles of nitrogen.To identify the chemical formula of the compound, we divide each numner by the smaller amount between the two. Hence, oxygen is approx. equal to 1 and nitrogen is equal to 1. Hence teh formula is NO or nitric oxide.
        
             
        
        
        
Number 5a.  is 26.78 and 5b. is 8.5
        
             
        
        
        
Answer with Step-by-step explanation:
We are given that 

a.Radius =25 m
We have to find rate of change of radius.
We know that 
Area of circle,
Differentiate w.r.t time

Substitute the values then we get 



b.A=
Substitute the values then we get





Substitute the values then we get 

 m/s
m/s
 m/s
m/s
 
        
             
        
        
        
<span>You are given an ore ship that is traveling west toward Duluth on Lake Superior at 18 miles per hour with a bearing of 285deg Split Rock Lighthouse. Also, after 1 hour the bearing of the lighthouse is 340deg. The distance between the ship and the lighthouse when the second bearing is determined is 35 miles.</span>