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Sonja [21]
2 years ago
10

Prove algebraically that 0.5 recurring = 5/9

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

We require 2 equations with the recurring part after the decimal point.

Let x = 0.555..... → (1)

Multiply both sides by 10, then

10x = 5.555..... → (2)

Subtract (1) from (2) thus eliminating the recurring decimal

(10x - x) = (5.5555 - 0.5555 ), that is

9x = 5 ( divide both sides by 9 )

x = \frac{5}{9}

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Choose the correct product of (6x − 2)(6x + 2). (1 point)
Vanyuwa [196]
You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = 36x^{2} Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

36x^{2} + 12x -12x - 4

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

36 x^{2} - 4 This is your product
6 0
3 years ago
IF 30 Men Car do a piece of Work in 30 days the
kiruha [24]

Answer:

let, the days for 10 men be x

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Hope it helps.

4 0
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Write 19/25 as a decimal fist person to answer the question correctly is going to be the brainliest
Lerok [7]
0.76 is the correct answer.
3 0
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What percent of 146 is 39​
marissa [1.9K]

Answer:

<em>39 is 26.71% of 146</em>

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 146 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 146.

Step 4: In the same vein, x% = 39.

Step 5: This gives us a pair of simple equations:

100% = 146(1).

x%=39(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

100/x% = 146/39

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 39/146    ⇒ x= 26.71%

Therefore, 39 is 26.71% of 146.

<em>hope it helps:)</em>

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Minchanka [31]

take square root and subtract y2 from y1 and x2 from x1

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