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2 years ago

Express 0.361 recurring as a fraction. (only the 61 recurs)

Mathematics

1 answer:

Oduvanchick [21]2 years ago

7 0

9514 1404 393

Answer:

179/495

Step-by-step explanation:

When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.

Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.

Then the entire decimal is ...

0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495

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Determine whether each given value of x satisfies the inequality x+1<x/3

Vinil7 [7]

$x+1 < \dfrac{x}{3}\ \ \ \ |\cdot3\\\\3x+3 < x\ \ \ \ |-3\\\\3x < x-3\ \ \ \ |-x\\\\2x < -3\ \ \ \ |:2\\\\x < -1.5$

Answer: (c) x = -4

5 0

3 years ago

The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.

Korvikt [17]

x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108

4 0

3 years ago

Sam had X number of toys. He received five more for his birthday. He still has less than 24 toy cars. Which inequality correctly

Gre4nikov [31]

Ok! So basically it is really good

6 0

2 years ago

Read 2 more answers

Charlotte borrows $9000 to buy a second-hand car. The loan must be repaid

QveST [7]

Answer:

$13,400

Step-by-step explanation:

Simple Interest = principal × rate × time

principal= $9000

Rate= 12/100=0•12

Time=5years

Simple interest =PRT

= 9000× 0•12 × 5

= 5400

Total amount to be paid = 9000 + 5400

= $13400

8 0

3 years ago

Deisha can build a fence in 15 hours, and Travis can build a fence in 12 hours. How long will it take them together to build a f

Basile [38]

Answer:

6 $\frac{2}{3}$

Step-by-step explanation:

Deisha's build rate = 1 fence per 15 hours = 1/15 fences per hour

Travis's build rate = 1 fence per 12 hours = 1/12 fences per hour

Working together, their combined rate is 1/15 + 1/12 = 3/20 fences per hour

So it takes them 20/3 = 6 2/3 hours per fence

6 0

3 years ago