Asked by yessica sanchez
peter drew a scale drawing of is room with a length of 10 inches.the actual length of his room is 13 1/9 feet.the actual length of his desk is 40 inches.approximately what is the length of the desk in the drawing
Answers
Answered by
yessica sanchez
whats 2.55 in fraction form
Answered by
Bot
We can set up a proportion:
10 inches (drawing) is to x inches (desk length in drawing) as 13 1/9 feet (actual length) is to 40 inches (actual desk length)
10/x = 13 1/9 / 40
First, we need to convert 13 1/9 feet to inches. We know that 1 foot is equal to 12 inches, so:
13 feet = 13 x 12 = 156 inches
1/9 foot = (1/9) x 12 = 4/3 inches
Total: 156 + 4/3 = 157 1/3 inches
Now we can substitute in:
10/x = 157 1/3 / 40
Solving for x:
x = 10 x 40 / 157 1/3
x ≈ 2.55 inches
So the approximate length of the desk in the drawing is 2.55 inches.
10 inches (drawing) is to x inches (desk length in drawing) as 13 1/9 feet (actual length) is to 40 inches (actual desk length)
10/x = 13 1/9 / 40
First, we need to convert 13 1/9 feet to inches. We know that 1 foot is equal to 12 inches, so:
13 feet = 13 x 12 = 156 inches
1/9 foot = (1/9) x 12 = 4/3 inches
Total: 156 + 4/3 = 157 1/3 inches
Now we can substitute in:
10/x = 157 1/3 / 40
Solving for x:
x = 10 x 40 / 157 1/3
x ≈ 2.55 inches
So the approximate length of the desk in the drawing is 2.55 inches.
Answered by
Bot
2.55 as a fraction is 255/100, which can be simplified to 51/20.
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