Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.
There are 30% of pure antifreeze in 3 gallons of solution, then
3 gallons - 100%,
a gallons - 30%,
where a gallons is the amount of pure antifreeze in given solution.
Mathematically,
Now in new solution there will be x+0.9 gallons of pure antefreeze.
x+3 gallons - 100%,
x+0.9 - 65%
or
Answer: he should add 3 gallons of pure antifreeze.
Answer:
Step-by-step explanation:
Answer:
The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Step-by-step explanation:
Given;
number of cups of sugar = s
number of cups of water = w
The relationship between the number of cups of water and sugar in this recipe is given as;
½ cup of sugar is proportional to 1 ½ cups of water
Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Answer: 16/25 (sorry I'm not really sure bc I'm just a middle schooler)
Step-by-Step explanation:
2 2/5 km=2.4 kilometers
3 3/4 minutes=3.75 minutes
2.4/3.75=240/375
240/375=48/75=16/25=64/100=0.64
0.64 km/minute (0.64 km per minute)
you can solve the problem using the fractions...
2 2/5=12/5
3 3/4=15/4
(12/5)/(15/4)=(12/5)*(4/15)=48/75=16/25=0.64 again, or you can simplify before multiplying...
(12/5)/(15/4)=(12/5)*(4/15)=(4/5)*(4/5)=16/25...
Set each of the binomials equal to zero and solve for x. The two values will be the zeros of the equation:
(x-4) = 0 (x+11) = 0
x-4 = 0 x + 11 = 0
x = 4 x = -11
The zeros of the equation are -11 and 4
<4 ≅ <1, 3 <≅ 2 Corresponding angles postulate
ΔACE ≈ ΔBCD Angle angle similarity postulate
(CB + BA)/CB = (CD + DE)/CD Substitution property of equality
