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blsea [12.9K]
3 years ago
9

I need help completing this problem ASAP

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

4/(√<em>x</em> - √(<em>x</em> - 2)) × (√<em>x</em> + √(<em>x</em> - 2))/(√<em>x</em> + √(<em>x</em> - 2))

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / ((√<em>x</em>)² - (√(<em>x</em> - 2))²)

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / (<em>x</em> - (<em>x</em> - 2))

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / (<em>x</em> - <em>x</em> + 2)

= 4 (√<em>x</em> + √(<em>x</em> - 2)) / 2

= 2 (√<em>x</em> + √(<em>x</em> - 2))

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Plz help with this word problem
Andreyy89
He will mix some 20% solution and some 70% solution to make 60% solution.

Let x = number of liters of 20% solution.
Let y = number of liters of 70% solution.

He wants to make 50 liters of 60% solution, so

x + y = 50   First Equation

The amount of acid in x amount of 20% solution is 20% of x, or 0.2x
The amount of acid in y amount of 70% solution is 70% of y, or 0.7y
The amount of acid in 50 liters of 60% solution is 60% of 50 liters, or 0.6 * 50 = 30
Now we add the amounts of acid.
0.2x + 0.7y = 30   Second Equation

x + y = 50
0.2x + 0.7y = 30

-0.2x - 0.2y = -10
0.2x + 0.7y = 30
------------------------
           0.5y = 20

y = 40

x + y = 50

x + 40 = 50

x = 10

Answer: He needs 10 liters of 20% solution and 40 liters of 70% solution.
4 0
3 years ago
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Scientists believe that there is an extremely massive black hole at the center of the Milky Way. How many times more massive tha
xenn [34]
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5 0
3 years ago
(x+2y = 10<br> 16y=-3x+30
Harlamova29_29 [7]

Answer:

x = 10, y = 0

Step-by-step explanation:

x + 2y = 10

x = 10 - 2y <em>(</em><em>B</em><em>r</em><em>i</em><em>n</em><em>g</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>2</em><em>y</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>r</em><em>i</em><em>g</em><em>h</em><em>t</em><em>)</em>

16y = -3x + 30

16y = -3(10 - 2y) + 30 <em>(</em><em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>e</em><em> </em><em>x</em><em> </em><em>t</em><em>o</em><em> </em><em>1</em><em>0</em><em> </em><em>-</em><em> </em><em>2</em><em>y</em><em>)</em>

16y = -30 + 6y + 30 <em>(</em><em>E</em><em>x</em><em>p</em><em>a</em><em>n</em><em>d</em><em> </em><em>b</em><em>r</em><em>a</em><em>c</em><em>k</em><em>e</em><em>t</em><em>s</em><em>)</em>

10y = 0 <em>(</em><em>B</em><em>r</em><em>i</em><em>n</em><em>g</em><em> </em><em>y</em><em> </em><em>t</em><em>o</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>l</em><em>e</em><em>f</em><em>t</em><em>)</em>

<u>y</u><u> </u><u>=</u><u> </u><u>0</u>

x = 10 - 2(0) <em>(</em><em>S</em><em>u</em><em>b</em><em>s</em><em>t</em><em>i</em><em>t</em><em>u</em><em>t</em><em>e</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>0</em><em>)</em>

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>0</u>

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>0</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>0</u>

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What tempreture is 10 degrees less than 6 degrees Celsius
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A girl found dress fo £65.50 and there was an 15% sale on
Alika [10]

Answer: $65.50 - 15% = 55.675


Step-by-step explanation:

Conversion a decimal number to a fraction: 65.50 = 655

10

= 131

2

Conversion a decimal number to a fraction: 9.825 = 9825

1000

= 393

40

Subtract: 65.5 - 9.825 = 131

2

- 393

40

= 131 · 20

2 · 20

- 393

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= 2620

40

- 393

40

= 2620 - 393

40

= 2227

40


The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 40) = 40

4 0
3 years ago
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