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Mariulka [41]
2 years ago
7

Marie mixes 20 liters of 12% acid solution with a 36% acid solution to make a 20% acid solution. How many liters of 36% solution

did she use?
Mathematics
1 answer:
kykrilka [37]2 years ago
6 0
Use c1v1+c2v2=c3v3
where c=concentration, v=volume.

C1=0.12
V1=20 L
C2=0.36
V2=X
C3=0.20
V3=20+X L

Substitute in equation
0.12(20) + 0.36X = 0.20(20+X)
Expand 
2.4 + 0.36X = 4 + 0.2X
Simplify
(0.36-0.2)X = 4-2.4
0.16X = 1.6
X=1.6/0.16 = 10 L

check:
0.12(20)+0.36(10)=2.4+3.6=6.0
(20+10)*0.20 = 6.0  so solution is good.

Answer: Volume of 36% solution is 10L
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erik [133]

Answer:

4/9

Step-by-step explanation:

  • The denominator is the bottom value of a fraction, therefore we can discount 9/2
  • 1/9 = 2/18.  2/18 is smaller than 3/18 so we can discount 1/9
  • 50/100 = 0.5
    5/9 = 0.55555...
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  • Answer is 4/9

8 0
2 years ago
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Elena-2011 [213]

Answer:

the answer is c

Step-by-step explan

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2 years ago
If y is 5 when x is 2.5 and y varies directly with x, find y when x is 10
ikadub [295]

Answer:

If x varies directly as y, then x=ky. y=5 and x=2.5 are substituted into x=ky to find k.

2.5=5k

k=2.5/5

k=5.

K =5 is substituted in x=ky to find y where x is 10.

x=5y

10=5y

y=10/2

y=2

8 0
3 years ago
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What would be the first step to solve for n in the equation 3n-7=30?
taurus [48]
The first step would be to add 7 to both sides.
3n-7=30
add 7
3n=37
divide by 3
n=12.33
4 0
2 years ago
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RESUELVE EL SIGUINTE PORBLEMA En la escuela "Soy Feliz porque soy diverso", hay 230 estudiantes en total. De estos, 35 son mujer
Tanzania [10]

Answer:

1) a. 195 are males

b. Males are the 85 %

2) 1/2

Step-by-step explanation:

Number of all the students: 230

35 are females

x are males

Then 35 + x = 230

x = 230 - 35 → 195

To determine the amount of males, from the total we apply the percent.

Percent = (Amount of males / Total of students) . 100

% = (195 / 230) . 100 = 85 %

2. In first place, Maria spent 13 for the book.

In second place, Maria spent 29 for the pencil box.

In total, she has spent 13+29 = 42

But, how many dolars have the grandpa gave to her?.

We can also apply percent and fractions, where:

(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1

13 + 29 + x = T

13/T + 29/T + x/T = 1, in conclussion x = 42

Total of money given = 84

Then, Maria has not spent the half of money→ 1/2

7 0
3 years ago
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