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Scrat [10]
3 years ago
13

The difference of six times a number and four is twenty. Find the number.

Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

Answer:

8/3 or 2.667

Step-by-step explanation:

6x+4=20

20-4= 16

6x/6=x

16/6=8/3 or 2.667

Inessa [10]3 years ago
3 0

Answer: 4 is the number.

Step-by-step explanation: Let the number be represented by B.

6xB - 4 = 20

6B - 4 = 20

6B = 20+4

6B = 24

B = 24/6

B = 4

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A 2x2 square is centered on the origin. It is dilated by a factor of 3. What are the coordinated of the vertices of the square?
Alexxx [7]

<u>Answer</u>:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

The ratio of area of  larger square to smaller square is 9:1

<u>Step-by-step explanation:</u>

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1),  B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

To find the area of the small square

the side  of the small square is 2 units

so the are of the small square is 2^2 = 4 square units

To find the area of the larger square

lets find the side AB of the square using distance formula

=>\sqrt{(x_2 -x_1)^2 +(y_2-y_1)^2}

=>\sqrt{(3 - (-3))^2 +(-3 - (-3))^2}

=>\sqrt{(3 +3)^2 +(-3 +3)^2}

=>\sqrt{(6)^2 +(0)^2}

=>\sqrt{36}

=>6

AB =6 units

In a square all the sides will be equal

Now the area of the larger square will be

6^2

36 square units

The ratio of larger square to smaller square is

=>36 : 4

=>9 : 1

5 0
3 years ago
The length of a rectangle is two more than twice the width. the perimeter is 58ft. what is the area of the rectangle?
goldenfox [79]

58/2 = 29

w +2w+2 = 29

3w+2 =29

3w = 27

w = 27/3 = 9

 width = 9

length = 2*9=18+2 = 20

20+20+9+9 = 58

Length = 20 feet

width = 9 feet


5 0
3 years ago
#5 please help me thank you.
saul85 [17]
Area = length * width
Area = (n yds + 40 yds)  * 30 yds

or
Area = (30 yds * n yards) + (30 yds * 40 yards)
This is if you add the area of the rides to the area of the arcade (the first parenthesis is the rides, the second is the arcade.)
8 0
3 years ago
Read 2 more answers
The calculated average of a data set best describes which of the following
sasho [114]
The calculated average of a data set best describes A: Mean.
3 0
3 years ago
Plz help ASAP I will mark brainleist
Zigmanuir [339]

Answer:

6 units

Step-by-step explanation:

They are on the same y-point and so you just have to count the spaces between them on the x-axis.

4 0
3 years ago
Read 2 more answers
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