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Lorico [155]
3 years ago
15

A chemist is mixing one solution that is 32% sodium and another solution that is 12% sodium how many liters of each type should

the chemist use to produce 50 l of the solution that is 20% sodium
Mathematics
1 answer:
Brut [27]3 years ago
6 0
In order to solve the amount of each solution, we need to set up equations. We do as follows:

Let x = solution with 32% sodium
      y = solution with 12% sodium

Overall balance
x + y = 50

Component balance
.32x + .12y = 50(.20) =10

Solving simultaneously,

x = 20
y = 30

Hope this answers the question. Have a nice day.
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Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank
stellarik [79]
Kim's Loan:
Let A =  amount borrowed from bank A.
Let B =  amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000                  (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000      (2)

From (1), obtain
B = 55000 - A                  (3)

Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000

Answer:  Kim borrowed $35,000 from bank A.

Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000                  (4)

Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530       (5)

From (4), obtain
B = 10000 - A                       (6)

Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000

Answer: Jack borrowed $7,000 from bank A.
3 0
4 years ago
F =(11,5) Find: 7f.
lys-0071 [83]

Answer:

f = (115)   \\ 7f = 7 \times f(115) = 805

6 0
3 years ago
Solve the problem.<br> Find the diameter of a circle that has a circumference of 942 meters.
solong [7]
The answer to the problem is 299.85 m.
3 0
3 years ago
For the data set: {1.5, 2.3, 1.7, 3.6, 2.9, 4.2}, identify the percentile for the value 2.9.
antiseptic1488 [7]

Answer:

58.33%.

Step-by-step explanation:

We have been given a data set {1.5, 2.3, 1.7, 3.6, 2.9, 4.2} and we are asked to find the percentile for value 2.9.

First of all let us arrange our data points from smallest to largest as: {1.5, 1.7, 2.3, 2.9, 3.6, 4.2}.    

We can see that our data set has 6 data points and 2.9 is 4th data point.  

We will use percentile rank formula to solve our problem.  

P=\frac{(100*(i-0.5))}{n}, where,

P= Percentile rank,

i= Rank of the data point,

n = Total number of data points.

Upon substituting our given values we will get,

P=\frac{(100*(4-0.5))}{6}

P=\frac{(100*3.5)}{6}

P=\frac{350}{6}

P=\frac{350}{6}

P=58.333  

Therefore, percentile rank for the value 2.9 is 58.33%.

3 0
3 years ago
What is -x+4x-(-8x)-9+2x+1
monitta
-11x is the answer to your question.
8 0
3 years ago
Read 2 more answers
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