Which of these strategies would eliminate a variable in the system of equations?

Elden [556K]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is True.

You can eyeball the triangle or also get a protractor and also see that this is a right triangle. Remember, right triangles have a right angle.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

3 0

3 years ago

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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

What is the greatest common factor of 42, 56, and 112

VashaNatasha [74]

Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.

Step-by-step explanation:

8 0

3 years ago

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The surface area of a cube is 1,014^2. Find the volume of the cube.

Marta_Voda [28]

Let the length of one side of the cube be x. Then the surface area of the cube is A = 6x^2 = 1014 cubic units. We want the cube volume, so must first solve for x and then cube the result:

1014 cu. in.
x = square root of ----------------- = sqrt(169) = 13
6

The volume of this cube is thus (13 units)^3 = 4826809 cubic units.

7 0

3 years ago

27=6x+3(-3x+15) can you help me with the steps

babymother [125]

First your going to distribute the 3
3(-3x+15)
-9x+45
27=6x-9x+15
27=-3x+15
Then you’ll minus 15 from 27
27-15=12
12=3x
X=4

3 0

4 years ago