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Naily [24]
3 years ago
13

By decreasing each dimension by 1 unit, the area of a rectangle decrease from 40 square feet (on the left) to 28 square feet (on

the right). find the percent of decrease in area,
Mathematics
1 answer:
Anettt [7]3 years ago
8 0
<span>The was a 30% decrease in area. You started with 40 sq ft and ended up with 28 sq ft. So you lost 40 - 28 = 12 sq ft. Now you need to figure out what percentage of 40 is 12. For that you just simply divide 12 / 40 = 0.30 And to convert 0.30 from a decimal to a percentage, just multiply by 100. 0.30 * 100 = 30%</span>
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1. We know that 1 feet = 12 inches

let x be a number of inches, which when added to 18 inches will give 7 feet

18 inches + x inches = 7 feet

18 inches + x  inches = 84 inches                      <em> [1 feet = 12 inches]</em>

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2. We know that 1 mile = 1760 yards

let x be the number of yards, when added to 2000 yards will be equal to 2 miles

2000 yards + x yards = 2 miles

2000 yards + x yards = 3520 yards

x yards = 1520 yards

3. We know that 1 feet = 12 inches

Number of feet = Given number of inches / 12

Number of feet = 108 / 12

Number of feet = 9 ft.

4. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 8800 feet. will be equal to 8 miles

8800 feet + x feet = 8 miles

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5. We know that 12 inches = 1 feet

let x be the number of inches, when added to 37 inches, will be equal to 5 feet

37 inches + x inches = 5 feet

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6. We know that 1 yard = 3 feet

So, (number of yards)*3 = (number of feet)

Number of yards = number of feet / 3

Number of yards = 73 / 3 = 24.33 yards

7. We know that 1 yard = 3 feet

let x be the number of feet added to 15 feet to make 9 yards

15 feet + x feet  = 9 yards

15 feet + x feet = 27 feet       <em>[1 yard = 3 feet]</em>

x feet = 12 ft

8. We know that 1 mile = 1760 yards

let x be the number of yards remaining to reach 4 miles

3000 yards + x yards = 4 miles

3000 yards + x yards = 7040

x yards = 4040 yards

9. We know that 1 yard = 3 feet

So, number of yards * 3  = number of feet

replacing the values:

number of yards*3 = 114

number of yards = 114/3

number of yards = 38 yards

10. We know that 1 mile = 5280 feet

let x be the number of feet that must be added to 9000 feet to make 3 miles

x feet + 9000 feet = 3 miles

x feet + 9000 feet = 15840 feet

x ft = 6840 ft

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let x be the number of inches that must be added to 46 inches to get a length of 9 feet

46 inches + x inches = 9 feet

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3500 yards + x yards = 2 miles

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So, number of feet * 12 = number of inches

number of feet = number of inches / 12

<em>number of feet in 252 inches</em>

Number of feet = 252/12

Number of feet = 21 ft

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let x be the number of feet, when added to 6500 feet, will be equal to 2 miles

x ft + 6500 ft = 2 miles

x ft + 6500 ft = 10560 ft

x ft = 4060 ft

15. We know that 1 mile = 5280 feet

let x be the number of feet, when added to 4500 feet, will be equal to 1 mile

x ft + 4500 ft = 1 mile

x ft + 4500 ft = 5280 ft

x ft = 780 ft

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