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KiRa [710]
2 years ago
13

a piece of wood that measures 175 in. long was cut into three pieces. the second piece of wood is 3 in. more than 3 times the le

ngth of the first piece of wood. The third piece of wood is 8 in. less than 4 times the length of the first piece of wood. What is the length of the longest piece of wood?
Mathematics
2 answers:
borishaifa [10]2 years ago
5 0

Answer:

61inchs is the longest piece

inessss [21]2 years ago
3 0

Answer:

The correct answer is 82

Step-by-step explanation:

1st piece=x

2nd piece=3x+3

3rd piece=4x-8

Combine like terms:

x+3x+4x=8x

3-8= -5

8x-5=175

8x-5+5=175+5

8x=180

x=22.5

1st piece=22.5 in

2nd piece=70.5 in

3rd piece= 82

3rd piece is the biggest, so the correct answer is 82

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Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

point C can be info set 1: (10, -1)    x₁ = 10   y₁ = -1

point D can be info set 2: (-6, 3)    x₂ = -6  y₂ = 3

Substitute the information into the formula

L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }    Simplify inside each bracket

CD = \sqrt{(-16)^{2}+(4)^{2} }    Square the numbers

CD = \sqrt{256+16 }     Add inside the root

CD = \sqrt{272}    Enter into calculator

CD = 16.5  Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0
3 years ago
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The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe
nordsb [41]
The first graphed rational number is at the middle of -2 and -1, thus the number represented is -1 \frac{1}{2}

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is 0+ \frac{5}{6} = \frac{5}{6}

The difference between the two numbers can be represented as
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To find the difference,

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Also,

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aalyn [17]

Answer:

sorry this does not factor out

Step-by-step explanation:

5 0
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