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emmainna [20.7K]
2 years ago
6

A rectangle that is 2" x 3" has been scaled by a factor of seven suppose you want to scale the copy back to its original size wh

at scale factor should you use
Mathematics
1 answer:
levacccp [35]2 years ago
3 0

Answer:

Scale factor of \frac{1}{7}.

Step-by-step explanation:

scale = \frac{scaled length}{actual length}

The rectangle has been scaled by a factor of seven implies that its real dimensions has been multiplied by seven. Therefore, to scale the copy back to its original size, its dimension should be multiplied by a scale factor of \frac{1}{7}.

Example:

when the scale is 7;

2 x 7 = 14

3 x 7 = 21

when the scale is \frac{1}{7};

14 x \frac{1}{7} = 2

21 x \frac{1}{7} = 3

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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z%
sergeinik [125]

Answer:

Both statements are sufficient to answer the question

Step-by-step explanation:

Given:

- The paint mixture has following proportions:

 Total volume of paint = T

 Blue:  x*T / 100

 Green: y*T/100

 Red: z*T/100

Find:

Statement 1: x = y

Statement: z = 60

Which of the above statement is sufficient to calculate the amount of green paint used

Solution:

Statement 1:

- The amount of blue paint used is:

                    1 gallon = x*T / 100

- x = y,

                    1 gallon = y*T / 100

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

Statement 2:

- The amount of red paint used is:

                    3 gallon = z*T / 100

                    T = 300 / z = 300 / 60 = 5 gallons

                    T = R + B + G

                    G = T - R - B

                    G = 5 - 3 - 1

                    G = 1 gallons

Hence,

                    Amount of green paint used is 1 gallon

- The statement is sufficient

5 0
3 years ago
Order of Operations with and without variables
lyudmila [28]
I think the answer is -4
6 0
3 years ago
Pleaseeeee helppppp
IRINA_888 [86]

Answer:

  (a)  (6, 2)

Step-by-step explanation:

The system of equations has one of them in y= form, so it lends itself to solution by substitution.

__

Using the equation for y to substitute into the first equation, we have ...

  2x -y = 10

  2x -(-1/2x +5) = 10 . . . . . substitute for y

  2x +1/2x -5 = 10 . . . . . eliminate parentheses

  5/2x = 15 . . . . . . . . . add 5, collect terms

  x = 6 . . . . . . . . . . . multiply by 2/5

Using the equation for y, we have ...

  y = -1/2(6) +5 = -3 +5

  y = 2

The solution is (x, y) = (6, 2).

3 0
2 years ago
Find the perimeter for both questions. Both questions are compound shapes please provide working out.
Marrrta [24]
First one:
You take 10 + 3 =13 then add 9 then 5. That all equals 27. Then you add 1 for the top part that isn’t labeled because it’s 10 in the bottom then 9 at the top which means it’s 1. Then for the side that’s unlabeled it’s 2 since it’s all 5 then the other side is 3. Answer is 31



Second one:

This one is the same as #1. You add 14+6+3+4 = 27. The long horizontal unlabeled side is 11 bc 14-3 = 11. Then the other side 2. Answer is 30.
8 0
3 years ago
What is the midpoint of the segment (1, -1) (4, -6)
Sophie [7]
When looking for the midpoint of a segment defined by two end points, the average of both coordinates are taken. Averaging the 2 x-coordinates give the new x-coordinate, and the same applies for the y-coordinate. This is shown below:

Midpoint = ( (1 + 4)/2 , (-1 + -6)/2 )
Midpoint = (2.5 , -3.5)
6 0
3 years ago
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