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gladu [14]
3 years ago
7

Convert the decimal expansion 0.31717 to a fraction. A) 133/455 B) 157/495 C) 52/165 D) 99/166

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0
The decimal expansion of 0.31717 is an infinite number with the 17 repeating.

Let the given decimal = X, so we have X = 0.31717 ( 1st equation)

Multiply both sides by 100 to get:
100x = 31.717 ( 2nd equation)

Subtract the 1st equation from the 2nd equation:

100x = 31.1717 - x = 0.31717 = 99x = 31.4

Divide both sides by 99:
X = 31.4 / 99

Multiply both numbers by 10 to remove the decimal point:
X = 314 / 990

Divide both numbers by 2 to get the final answer of 157 / 495

The answer is B.

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Please help me!
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Answer:

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Step-by-step explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

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3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.

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