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3 years ago

9/2 divided by 1/4= ? in simplest form

Mathematics

1 answer:

Allisa [31]3 years ago

7 0

Answer: 18

Do Keep Change Flip (KCF)

Keep: 9/2

Change: ÷ into ×

Flip: 1/4 into 4/1

Your new problem should be 9/2×4/1

Multiply

9/2×4/1=36/2

36/2=18

Final Answer: 18

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to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

Need quick answers has to show work

Zielflug [23.3K]

Answer:

Step-by-step explanation:

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3 years ago

Factor the polynomials 23−162

masha68 [24]

Answer:

-139

Step-by-step explanation:

23-162=

-139

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3 years ago

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.

pentagon [3]

Answer:

x=+/-3

Step-by-step explanation:

x^4-5x^2-36=0

factor

(x^2-9)(x^2+4)=0

split into 2 equations because one of these terms will need to equal zero for the eqation to be true

x^2-9=0 x^2+4=0

x^2=9 x^2=-4

x=+/-3 no real numbers

7 0

3 years ago

1/2x+5=10 whats the value of the variable

svlad2 [7]

Answer:

1/2x+5=10

subtracting 5 from both sides 1/2x+5-5=10-5

1/2x=5

divide both sides by 1/2

1/2x÷1/2=5÷1/2

x=5×2/1

x=10

7 0

3 years ago