Answer:
-7/8
Step-by-step explanation:
-5/8+x=-3/2
x= -3/2+5/8=-12/8+5/8= -7/8
Answer:
8
Step-by-step explanation:
We use the equation for the percentage of solute concentration in a solution:
(1)
In this case the equiation (1) is transformed into:
(2)
n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.
Vpo = Initial volume of the magic potion = 2000ml
Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml
Vb= Volume of a bottle = 25ml
Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml
Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n
Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n
Replacing in (2):





Since the number of times the wand should be waved must be an integer, it approximates 8
Replacing n=8 in (1)

Answer:
($20/gal)r + ($30/gal)b ≤ $250
r + b ≤ 10 (gallons)
Step-by-step explanation:
Represent the amount of red paint by r and that of blue point by b.
Olivia must cover 5000 ft^2 with paint, which comes out to 5000/500, or 10, gallons total of red and blue paint. The corresponding inequality is
r + b ≤ 10 (gallons)
She has onlyl $250 to spend. Therefore, the following must hold true:
($20/gal)r + ($30/gal)b ≤ $250
The required sysstem of inequalities is thus
($20/gal)r + ($30/gal)b ≤ $250
r + b ≤ 10 (gallons)
To find the unit rate of this problem just take 25.2/4 which equals $6.3 per unit Enjoy!=)<u /><u />