Answer:
5.6 gallons.
Step-by-step explanation:
If we take x gallons of 25% grape juice then it will contain  gallons of pure grape juice.
 gallons of pure grape juice.
Again, if we take y gallons of 75% grape juice then it will contain  gallons of pure grape juice.
 gallons of pure grape juice.
If we mix them then the total volume will become x + y = 7 gallons  ...... (1)
Again the mixture will become 35% juice.
So,  
⇒ 0.25x + 0.75y = 0.35x + 0.35y
⇒0.1x = 0.4y
⇒x = 4y........ (2)
Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons
Hence, x = 4y = 5.6 gallons
Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)
 
        
             
        
        
        
Answer:
0.9617
Step-by-step explanation:
√0.925 
= 0.9617
 
        
                    
             
        
        
        
Answer:
r = - 
Step-by-step explanation:
Given that r varies inversely as t , then the equation relating them is
r =  ← k is the constant of variation
 ← k is the constant of variation
To find k use the condition t = - 6 when r = - 2, then
- 2 =  ( multiply both sides by - 6 )
 ( multiply both sides by - 6 )
12 = k, thus
r =  ← equation of variation
 ← equation of variation
when t = - 7, then
r =  = -
 = - 
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Area of Circle can be calculated using following formula

Where r is radius of circle
<u>Area of outer circle (r=11 yd)</u>

<u>Area of inner circle (r=8 yd)</u>

Area of shaded region


 
        
             
        
        
        
Answer:
   110
Step-by-step explanation:
z is apparently 10 times x.
10 times 11 is 110.