What is the fractional equivalent of the repeating decimal n=0.2727…?

const2013 [10]

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule $(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)$ to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

$(x,y)\to (kx,ky)$

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

$(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)$

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

$k=\dfrac{2}{3}$

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

4 0

3 years ago

Find the unit rate 8 hits in 22 games

Aleksandr [31]

Answer:

0.363636

Step-by-step explanation:

Hits per game is hits / games

= 8 / 22

= 0.363636363

8 0

3 years ago

3/4 over 3 1/4 simplified is?

Sergio039 [100]

Answer:

Convert

3

1

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

3

+

1

4

−

1

3

4

Add

3

and

1

4

To write

3

as a fraction with a common denominator, multiply by

4

.

3

⋅

4

+

1

4

−

1

3

4

Combine

3

and

4

.

3

⋅

4

+

1

4

−

1

3

4

Combine the numerators over the common denominator.

3

⋅

4

+

1

4

−

1

3

4

Simplify the numerator.

Multiply

3

by

4

.

12

+

1

4

−

1

3

4

Add

12

and

1

.

13

4

−

1

3

4

Convert

1

3

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

13

4

−

(

1

+

3

4

)

Add

1

and

3

4

.

13

4

−

7

4

Combine the numerators over the common denominator.

13

−

7

4

Subtract

7

from

13

.

6

4

Cancel the common factor of

6

and

4

.

Factor

2

out of

6

.

2

(

3

)

4

Cancel the common factors.

Factor

2

out of

4

.

2

⋅

3

2

⋅

2

Cancel the common factor.

2

⋅

3

2

⋅

2

Rewrite the expression.

3

2

The result can be shown in multiple forms.

Exact Form:

3

2

Decimal Form:

1.5

Mixed Number Form:

1

2

Step-by-step explanation:

6 0

3 years ago

Given the following pyramid identify the L, P, and B then find the surface area

Liula [17]

Answer:

slant length (l) = 7.5 m

perimeter of base P = 40 m

area of base B = 100 m^2

Surface Area = 250 m^2

Step-by-step explanation:

Surface area of a pyramid formula

1/2Pl + B

1/2 (40)(7.5) + 100

150 + 100 = 250 square meters

6 0

2 years ago

if trangle pqr is translated 4 units to the right to form triangle p'q'r' how are the values on the orderd pairs affected by the

Vesna [10]

Answer:

The x-coordinate of each point will increase by 4.

Step-by-step explanation:

So Triangle PQR is being translated 4 units to the right. Since we are going to the right, this is a shift on the x-coordinate.

And since we're going 4 units, every x-coordinate is going to be added by 4.

In other words, if we have:

$A(x,y)$

Then the new coordinate, A', is:

$A(x,y)\rightarrow A' (x+4,y)$

So, let's find the new coordinates of each point.

Point P is (-5,6). So:

$P(-5,6)\rightarrow P'(-5+4,6)=P'(-1,6)$

The new Point P is at (-1,6).

Point Q is at (2,6). So:

$Q(2,6)\rightarrow Q'(2+4,6)=Q'(6,6)$

The new Point Q would be at (6,6).

And Point R is at (-3,2). So:

$R(-3,2)\rightarrow R(-3+4,2)=R(1,2)$

The new Point R is at (1,2).

And we're done!

5 0

3 years ago

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