Answer:
x=6
Step-by-step explanation:
you dived the 5 to get x by itself and 5 dived by 30 is 6
 
        
             
        
        
        
Answer:
y = 28
Step-by-step explanation:
Given that y varies directly as x and inversely as z then the equation relating them is
y =  ← k is the constant of variation
 ← k is the constant of variation
To find k use the condition y = 4 when x = 2 and z = 7, then
4 =  ( multiply both sides by 7 )
 ( multiply both sides by 7 )
28 = 2k ( divide both sides by 2 )
14 = k
y =  ← equation of variation
 ← equation of variation
When x = 6 and z = 3 , then
y =  = 14 × 2 = 28
 = 14 × 2 = 28
 
        
             
        
        
        
Answer:
For less than 7 uniforms.
Step-by-step explanation:
The first company she called charges $70 per uniform.
So, the cost of x uniforms will be $70x.
The second company she called charges $280 plus $30 per uniform.
So, the cost of x uniform will be $(280 + 30x).
Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  
70x < 280 + 30x
⇒ 70x - 30x < 280
⇒ 40x < 280
⇒ x < 7
Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)
 
        
             
        
        
        
Answer:
2/25
Step-by-step explanation: