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marta [7]
3 years ago
11

How much of 30% HCI and 45% HCI would be needed to mix and produce 50 liters of 35% HCI

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

  • 33 1/3 liters of 30%
  • 16 2/3 liters of 45%

Step-by-step explanation:

Let x represent the liters of 45% solution needed. Then the amount of HCl in the mix is ...

  0.45x +0.30(50 -x) = 0.35(50)

  0.15x = 0.05(50) . . . . . simplify, subtract 0.30(50)

  x = (0.05/0.15)(50) = 50/3 = 16 2/3 . . . liters of 45% HCl

33  1/3 liters of 30% and 16 2/3 liters of 45% HCl are needed.

_____

<em>Comment on the solution</em>

You may notice that the general solution to a mixture problem of this sort is that the fraction of the mix that is the highest contributor is ...

  (mix % - low %) / (high % - low %) = (.35 -.30) / (.45 -.30) = .05/.15 = 1/3

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20%

Step-by-step explanation:

p(outcomes)=#of favourable outcomes/#of possible outcomes

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7 0
3 years ago
Can someone please help me with this!
Gelneren [198K]

Answer:

Sue takes 3.3 hours to kayak 11 miles & marty takes 3.5 hours on her horse

Step-by-step explanation:

Sue's kayaking path is the hypotenuse of a right triangle.

so we use a squared + b squared = c squared

10.5^2+3.2^2=c^2

110.25+10.24=c^2

120.49=c^2

10.9768=c

and then because it said to round to the nearest tenth that would be 11.0 miles.

She's going at an average speed of 3.3 mph

that means it takes her about .3 hours to do 1 mile

so it would take her 3.3 hours to go 11 miles

marty is going at an average speed of 7 mph

so she takes 0.14 hours to go 1 mile

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3 0
3 years ago
If 0.00005893 is expressed in the form 5.893 × 10n, what is the value of n ?
yan [13]
In the scientific value of 5.893 x 10n. The standard value is 0.00005893 what is n? To better illustrate this phenomenon, we can explain it further under the rules of scientific notation.
For example. <span><span>
1. </span><span> 3 x 10^3 = 3 x 100 = 300</span></span>
<span><span>2. </span><span> 3 x 10^-3 = 3 x 0.001 = 0.003</span></span>

Solution:
0.00005893 = 5.893 x 0.00001 = 5.893 x 10^-5  
n= ^-5



7 0
3 years ago
Work out the area of the trapezium ABDE.
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Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

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2 years ago
The isosceles triangle has a base that measures 14 units.
Basile [38]

Answer:

Between 7 and 14

Step-by-step explanation:

7 0
3 years ago
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