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vichka [17]
3 years ago
6

Rationalize the denominator:

Mathematics
1 answer:
Serga [27]3 years ago
8 0

Answer:

1

Step-by-step explanation:

lol im dumb i havent learnt these yet-

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Any Quetion in the steps to solve it are shown below:
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3 years ago
What is 2/5x-4=8-3/5x
lesya692 [45]

Answer:

x = 12

Step-by-step explanation:

Solve for x:

(2 x)/5 - 4 = 8 - (3 x)/5

Put each term in (2 x)/5 - 4 over the common denominator 5: (2 x)/5 - 4 = (2 x)/5 - 20/5:

(2 x)/5 - 20/5 = 8 - (3 x)/5

(2 x)/5 - 20/5 = (2 x - 20)/5:

(2 x - 20)/5 = 8 - (3 x)/5

Put each term in 8 - (3 x)/5 over the common denominator 5: 8 - (3 x)/5 = 40/5 - (3 x)/5:

(2 x - 20)/5 = 40/5 - (3 x)/5

40/5 - (3 x)/5 = (40 - 3 x)/5:

(2 x - 20)/5 = (40 - 3 x)/5

Multiply both sides by 5:

2 x - 20 = 40 - 3 x

Add 3 x to both sides:

3 x + 2 x - 20 = (3 x - 3 x) + 40

3 x - 3 x = 0:

3 x + 2 x - 20 = 40

2 x + 3 x = 5 x:

5 x - 20 = 40

Add 20 to both sides:

5 x + (20 - 20) = 20 + 40

20 - 20 = 0:

5 x = 40 + 20

40 + 20 = 60:

5 x = 60

Divide both sides of 5 x = 60 by 5:

(5 x)/5 = 60/5

5/5 = 1:

x = 60/5

The gcd of 60 and 5 is 5, so 60/5 = (5×12)/(5×1) = 5/5×12 = 12:

Answer:  x = 12

6 0
4 years ago
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