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natali 33 [55]
3 years ago
15

Dmitri needs 6 liters of a 16% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sul

furic acid solution: one is an unlimited supply of the 12% solution and the other an unlimited supply of the 24% solution. How many liters of each solution should Dmitri use?
Mathematics
1 answer:
mylen [45]3 years ago
5 0

Answer:

4 litres of 12% solution

2 litre of 24% solution

Step-by-step explanation:

Let the 12% solution = l

Let the 24% solution = h

Dimitri needs a total of 6 litres of both :

l + h = 6 - - - - - - - - (1)

He needs a mixture of both volumes of both to give a 16% volume

12%l + 24%h = 16% * 6

0.12l + 0.24h = 0.96 ----(2)

From (1)

l + h = 6;

l = 6 - h

Substitute l =6-h into (2)

0.12(6 - h) + 0.24h = 0.96

0.72 - 0.12h + 0.24h = 0.96

0.72 + 0.12h = 0.96

0.12h = 0.96 - 0.72

0.12h = 0.24

h = 0.24 / 0.12

h = 2

From ;

l = 6 - h

l = 6 - 2

l = 4

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If a $3,500 investment earns $210 over 3 years, what is the annual rate?
Goryan [66]

Answer:

The annual rate of interest is 2 %  

Step-by-step explanation:

Given as :

The investment amount = $ 3,500

The Interest earn on investment = $ 210

The time period = 3  years

Let The annual interest rate = R

From simple interest method :

Simple Interest =  

Or, 210 × 100 = 3500 × R × 3

Or, R =

Or, R =  = 2

Hence The annual rate of interest is 2 %   Answer

hope this helped :)

6 0
3 years ago
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Alex17521 [72]

Answer:

A. When the preimage of a triangle is a dilation of the image, the triangles are similar.

Step-by-step explanation:

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

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6 0
2 years ago
PLZ RESPOND ASAP HELPPPP
Ronch [10]

The question is the thing that needs help. What does that hanging "a leading 2" mean? And rational real coefficients? Obviously if they're rational they're gonna be real, but really.


I would say "a leading 2" means the highest power of x has a coefficient to two, which is none of the above.


The last two are of degree two, which is the lowest degree. They both have integer coefficients, so are necessarily real and rational as well.


Neither has a leading 2 as far as I can tell. The last one is monic (a leading coefficient of 1). I like monic polynomials so I'd pick that one, but that doesn't make it right.


None of the above



3 0
3 years ago
Which of the following is a solution of 4x2 = − 9x − 4? (2 points) 9 plus or minus the square root of 17 divided by 8. negative
NemiM [27]

Answer:

4x^2 + 9x + 4 = 0

Using the quadratic formula:

x = [-9 +- sqrt(81 - (-64)] / 2 * 4

x = [-9 +- sqrt (145)] / 8

So, the solution is your second answer:

negative 9 plus or minus the square root of 145 divided by 8.

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4 years ago
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