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qaws [65]
3 years ago
10

Use the distributive property to write an equivalent expression. ​

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Step-by-step explanation:

evaluate

0

factor$2200/month

0

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You want to enlarge a 4 x 5 inch photo to fit into a 1 inch wide frame
skelet666 [1.2K]

The 4•x by 5•x inner dimensions of the 53 inches outer perimeter picture frame, the 1 inch wide frame and the 4 × 5 inch picture to be enlarged, gives;

a. The outer perimeter equation is presented as follows;

18•x + 8 = 53 inches

b. The scale factor required for the enlargement of the picture is 2.5

<h3>Which method can be used to write the equation and find the scale factor?</h3>

The dimensions of the photo = 4 × 5 inch

Width of the frame = 1 inch

Outer perimeter of the frame = 53 inches

The width of the inside of the picture frame = 4•x

The height of the inside of the picture frame = 5•x

a. The equation for the outer perimeter of the picture frame is therefore;

2 × (4•x + 1 + 1) + 2 × (5•x + 1 + 1) = 53

Which gives;

2 × (4•x + 2) + 2 × (5•x + 2) = 53

8•x + 4 + 10•x + 4 = 53

A simplified equation for the outer perimeter of the picture frame is therefore;

  • 18•x + 8 = 53

b. Solving the above equation, we have;

18•x + 8 = 53

18•x = 53 - 8 = 45

18•x = 45

Therefore;

x = 45 ÷ 18 = 2.5

x = 2.5

The width and height of the picture frame are therefore;

Width = 4•x = 4 × 2.5 = 10

Height = 5•x = 5 × 2.5 = 12.5

Which gives;

Width = 10 inches

Height = 12.5 inches

The enlargement factor, sf, is given by the ratio of a side of the picture frame to a side of the picture as follows;

sf = 12.5/5 = 2.5

  • The factor by which to enlarge the picture frame is 2.5

Learn more about linear scale factors here:

brainly.com/question/19381630

#SPJ1

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2 years ago
It takes 1 1/2 hours to fill 1/2 of a tank how long will it take to fill 2 tanks completely
Likurg_2 [28]

Answer:

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Step-by-step explanation:

hope this helps

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A scaled factor of 2 is used to increase the triangle. What is the new area?
lesya [120]

Answer:b

Step-by-step explanation:b

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3 years ago
16 2/3 percent of what number is 72
MArishka [77]
The answer is about 432.178
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Rewrite the equation below so that it does not have fractions 2+2/3x=3/4
miv72 [106K]

Answer:

9x = 16

Step-by-step explanation:

2+2/3x=3/4

4/3x = 3/4

3x/4  = 4/3

9x = 16

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3 years ago
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