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Charra [1.4K]
3 years ago
6

0.4 repeating as a fraction for a mixed number

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

Step-by-step explanation:

1.Rewrite the decimal number as a fraction with 1 in the denominator

2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10

3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

so the answer is

0.4= 2/5

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tankabanditka [31]

The equation of the line that is parallel to the given line and passes through the point (-2,2) is:

y = \frac{x}{5} + \frac{12}{5}

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

When two lines are parallel, they have the same slope. In this problem, the given line passes through (-5,-4) and (0,-3), hence the slope is:

m = (-3 - (-4))/(0 - (-5)) = 1/5.

Hence the equation is:

y = \frac{x}{5} + b

When x = -2, y = 2, then:

y = \frac{x}{5} + b

2 = \frac{-2}{5} + b

b = \frac{12}{5}

Hence:

y = \frac{x}{5} + \frac{12}{5}

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
Mrs. Rivera has bars of chocolate in a box. The total mass of bars of chocolate in the box is 3 kilograms. What is the mass in g
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Answer:

b =  \sqrt{65}

Step-by-step explanation:

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I hope I helped you^_^

8 0
3 years ago
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