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3 years ago

0.25,4/5,2/9,0.48 how many cards are greater than 1/2

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

Change all to decimal:

1/2 = 0.5

0.25 = 0.25
4/5 = 0.8 ✔
2/9 = 0.222
0.48 = 0.48
8/11 = 0.72 <span>✔</span>

There are 2 numbers greater than 0.5 or 1/2.

Answer: 8/11 and 4/5

Hope this helped☺☺

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Step-by-step explanation:

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A rectangular prism has a length of 1 1/2 ft a width of 2 1/2 ft and a height of 8 inches. what is the volume of the prism in cu

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3 years ago

Solve for x. 3x/6 + 2 = 8

Mariulka [41]

Answer:

x = 12

Step-by-step explanation:

Given

$\frac{3x}{6}$ + 2 = 8 ( subtract 2 from both sides )

$\frac{3x}{6}$ = 6 ( multiply both sides by 6 )

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3 years ago

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Given a function f(x) = m/x-1 + n, where f(-2) = 1 and f(4) = 3. Find the values of m and n

jarptica [38.1K]

We get the values of m as 1 and n as 0.

We are given a function:

f(x) = m / (x - 1) + n

We are also given that:

f (-2) = 1 and f (4) = 3

We have to find the value of m and n.

f (-2) = m (2 - 1) + n

1 = m + n

n = 1 - m

f (4) = m / (4 - 1) + n

3 = 3 m + n

3 = 3 m + 1 - m

3 = 2 m + 1

2 m = 3 - 1

2 m = 2

m = 2 / 2

m = 1

m + n = 1

1 + n = 1

n = 0.

Therefore, we get the values of m as 1 and n as 0.

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1 year ago

Which graph shows a dilation of a rectangle with a scale Factor of 1/3?

yaroslaw [1]

Answer:

The first picture corresponds the correct dilation by a scale of factor of 1/3 as the image rectangle is reduced and has the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.

Step-by-step explanation:

A dilation is said to be a transformation which generates an image that is the same shape as the original object, but has a different size.

If the scale factor is greater than 1, then the image will be enlarged. In other words,

scale factor > 1, image will be enlarged

If the scale factor is greater than 0 but less than 1, then the image will be reduced. In other words,

0 < scale factor > 1, the image will be reduced

Considering the quadrilateral with the vertices (-6, 0), (0, 6), (6, 0) and (0, -6).

According to dilation rule, when a figure is dilated by a scale of factor of 1/3, the the coordinates of that point are multiplied by 1/3. So,

(x, y) → (1/3x, 1/3y)

So, lets apply this on the quadrilateral with the vertices (-6, 0), (0, 6), (6, 0) and (0, -6).

For (-6, 0)

(x, y) → (1/3x, 1/3y) = (-6, 0) → (-2, 0)

For (0, 6)

(x, y) → (1/3x, 1/3y) = (0, 6) → (0, 2)

For (6, 0)

(x, y) → (1/3x, 1/3y) = (6, 0) → (2, 0)

For (0, -6)

(x, y) → (1/3x, 1/3y) = (0, -6) → (0, -2)

So, the image rectangle will have the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.

Therefore, the first picture corresponds the correct dilation by a scale of factor of 1/3 as the image rectangle is reduced and has the coordinates (-2, 0), (0, 2), (2, 0), and (0, -2) after a rectangle is dilated by a scale of factor of 1/3.

So, correct picture is also attached below.

Keywords: dilation, transformation, quadrilateral

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