Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so, 
14 + 7 + w 
 
        
             
        
        
        
Answer:
The unit price is 4.15 dollars per gallon
Step-by-step explanation:
- Yolanda buys 5.8 gallons of gas for $24.07
- We need to find the unit price in dollars per gallon
- Unit price means the price of each gallon
∵ The number of gallons = 5.8 gallons
∵ The price of the gallons = $24.07
∵ The unit price = the amount of money ÷ number of gallons
∴ The unit price = 24.07 ÷ 5.8 
∴ The unit price = 4.15 dollars per gallon
* <em>The unit price is 4.15 dollars per gallon</em>
 
        
             
        
        
        
Simplify brackets
(7w - 2 - w = 2(3w - 1)
simplify 7w - 2 - w to 6w - 2
(6w - 2 = 2(3w - 1)
Expand
(6w - 2 = 6w - 2)
Since both sides are equal, there are infinitely many solutions
Answer: C) INFINITELY MANY
        
                    
             
        
        
        
You will use the ratio 4:8 to create a part to part to whole ratio.
First simplify 4:8 to 1:2, then make it 1:2:3 (Salt:Sugar:Total).
Use this to find the volume of sugar.  2 sugars for every 3 total would be equivalent to 200 cubic feet of sugar for every 300 total cubic feet.
        
             
        
        
        
Answer:
from that passage AB+BD=AD ; -4x+50+2x+4=2x+46 so -2x+54=2x+46 ; x=2.
AC=AB+BC ; AB=-4x+50=-4(2)+50=42
the total lengths is AD=2x+46=50
Therefore AC is more than 42 and less than 50 ; you can answer b,c,g