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ella [17]
4 years ago
15

0.18 repeating fraction in the simplest form.

Mathematics
1 answer:
Triss [41]4 years ago
6 0

Answer:

2/11

Step-by-step explanation:

Let's say our fraction is x = 0.1818181818...

The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.

So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.

You get:

100x - x = 18

Which you can solve:

99x = 18

x = 18/99 = 2/11

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4 easy questions i just want the equations you dont need to give me the slope or the y intercept.
Mice21 [21]
4. 5x+6.25
5.2x+40
6.3x+ -6
7. 1x+ 1/5
6 0
3 years ago
The solution to -3x + 5x - 7 = -11 is _____.
Lemur [1.5K]

Answer:

x = -2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
3 years ago
Mary drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Mary drove h
ELEN [110]
There are two separate equations for this question that use the same variable.

Mary took 7 hours to complete a trip with traffic. This would use the following expression:

7x

Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

4(x+27)

Both trips had the same distance. From the information provided, we can set up the following equation:

7x = 4(x+27)

x represents the average rate of speed on both trips.

Distribute 4 to each term in parentheses:

4 \times x = 4x
4 \times 27 = 108

7x = 4x + 108

Subtract 4x from both sides:

3x = 108

Divide both sides by 3 to get x by itself:

x = 36

The average speed for the slower trip is 36 mph.

We can plug this value into the first equation:

7(36) = 7 \times 36 = 252

Mary lives 252 miles away from the mountains.
7 0
3 years ago
Irections: Simplify each expressio<br> 25-(√16-1)-(3-9)²
enyata [817]

Answer:

-14

Step-by-step explanation:

\sqrt{16} = 4\\\\(\sqrt{16} - 1) = (4 -1) =3\\\\(3-9) = (-6)\\\\(3-9) ^2 = (-6)^2 = 36\\\\25 -  3 - 36 = 25 - 39 =  -14\\

3 0
2 years ago
Find the value of x and y.
wariber [46]

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

6 0
3 years ago
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