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marin [14]
2 years ago
11

Write $6.45$ as a reduced fraction.

Mathematics
1 answer:
denis-greek [22]2 years ago
5 0

Do you want to know how to write the decimal number 6.45 as a fraction?

Here we will show you step-by-step how to convert 6.45 so you can write it as a fraction.

You can take any number, such as 6.45, and write a 1 as the denominator to make it a fraction and keep the same value, like this:

6.45 / 1

To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.45, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.

Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:

645 / 100

Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.

The GCD of 645 and 100 is 5. When we divide the numerator and denominator by 5, we get the following:

129 / 20

Therefore, 6.45 as a fraction is as follows:

129 / 20

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Answer:

y = - 2x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ )  = (1, 4 ) and (x₂, y₂ ) = (2, 2 )

m = \frac{2-4}{2-1} = \frac{-2}{1} = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 2 ) , then

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = - 2x + 6 ← equation of line

3 0
2 years ago
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Answer:

Step-by-step explanation:

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3 years ago
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Mrs. Chen's students are making and decorating gift boxes for a nursing home. If the boxes are 7 inches wide, 7 inches long, and
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Answer:

84\text{ in}^2.

Step-by-step explanation:

We have been given that  Mrs. Chen's students are making and decorating gift boxes for a nursing home. The boxes are 7 inches wide, 7 inches long, and 7 inches high. We are asked to find the amount of cardboard that is needed for each box.

We will use surface area of cuboid formula to solve our given problem.

SA=2(lw+lh+hw), where,

l = Length,

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Answer:

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