Answer:
Georgina should add 3 liters of 49% citric acid solution.
Step-by-step explanation:
let x be the liters of 49% solution that Georgina should add. Then after she has added 0.5 liters of water, the total liters of solution she has will be
and 42% of this should be the solute:
and since adding water does not add any solvent, this amount must come from the 49% citric acid solution; therefore
Solving for 
we get:
This the amount of 49% citric acid solution Georgina must add.
Answer:
Step-by-step explanation:
12(5+2y)=4y-(6-9y)
Distribute
12*5 +12*2y = 4y - 6 +9y
60 +24y = 4y - 6 +9y
Combine like terms
60+24y =13y -6
Subtract 13 y from each side
60 +24y-13y=13y-13y -6
60+11y = -6
Subtract 60 from each side
60+11y-60 =-6 -60
11y = -66
Divide by 11
11y/11 = -66/11
y =-6
Check
12(5+2(-6))=4(-6)-(6-9(-6) )
12 (5-12) = -24 - (6+54)
12(-7) = -24 -60
-84 = -84
True so the solution is correct
Answer:
C. 96°
Step-by-step explanation:
m<AME = 48° is an inscribed angle
Arc AT = intercepts arc
Based on the inscribed angles theorem, we have:
m<AME = ½(arc AT)
48° = ½(arc AT)
Multiply both sides by 2
48° × 2 = ½(arc AT) × 2
96° = arc AT
Arc AT = 96°
negative 5 x less than or equals minus 10
-5x<=-10
divide by -5 (this will flip the inequality)
x>=2
Solution: x>=2
Answer:
The area of this parallelogram is 
Step-by-step explanation:
The formula for working out the area of a parallelogram is : 
To work out the area you would multiply the base of 11 by the height of 4, this gives you 44 meters squared. This is because a identical parallelogram and a rectangle would have the same area.
1) Multiply 11 by 4.
