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m_a_m_a [10]
3 years ago
10

I need help please ​

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

Answer:

L = 25

Step-by-step explanation:

Let's call the Length x and width x - 15 since the width is 15 less than length

Eric needs 70 of fencing in total, the perimeter of a rectangle is calculated by adding all sides

x + x + (x - 15) + (x - 15) = 70 add like terms

4x - 30 = 70 add 30 to both sides

4x = 100 divide both sides by 4

x = 25

Maru [420]3 years ago
4 0

<u>Answer </u><u>:</u>

<u>Given </u><u>:</u>

  • The shape of the yard is rectangular
  • Width is 15 yards less than the length
  • Total fencing required is 70 feet

<u>To </u><u>find </u><u>:</u>

  • Appropriate equation
  • Dimensions

<u>Solution</u><u> </u><u>:</u>

We know that for fencing we need to find the perimeter ,

  • Perimeter of a rectangle
  • => 2 ( length + breadth )

Let us assume the value of length be x yards

  • Width = x - 15 yards

Solving the question we get ,

  • 2 ( x + ( x - 15 ) ) = 70
  • 2 ( x + x - 15 ) = 70
  • 2 ( 2x - 15 ) = 70
  • 4x - 30 = 70
  • 4x = 100
  • \sf\implies\:x\:=\:\dfrac{100}{4}
  • x = 25

Length = 25 yards

Breadth = 25 - 4

  • 21 yards
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Copy and fill in the charts.
Eduardwww [97]

Answer:

15% = 3/20 = 0.15

1.25 =125% =5/4

12 3/8 = 12.375 = 1237.5%

Step-by-step explanation:

15% to fraction , then decimal ;

15\% = \frac{15}{100} \\Cross\:cancel\:common\:factor ; 5\\\\15\div 5 = 3\\100\div 5 = 20\\\\= \frac{3}{20}\\\\\frac{3}{20} = 0.15

1.25 to fraction , then percentage

1.25 = \frac{1.25}{1}  \times \frac{100}{100} \\\\1.25\times 100 =125\\1\times 100 = 100\\\\= \frac{125}{100} \\= \frac{5}{4} \\\\1.25\times 100\\= 125\%

12 3/8 to decimal then percentage

12\frac{3}{8} =\frac{99}{8} = 12.375\\\\12.375\times 100\\\\= 1237.5\%

5 0
3 years ago
Prove the following statement.
gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form 2k+1 where k\in \mathbb{Z}. Consider the following cases.

Case 1. If k is even we have: (2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1.

If we denote by m=2s^2+2 we have that (2k+1)^{2}=8m+1.

Case 2. if k is odd we have: (2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1.

If we denote by m=2s^{2}+24s+1 we have that (2k+1)^{2}=8m+1

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0
3 years ago
A TV has an original price of $599. Enter the new price after the given percent of change.
vlabodo [156]

Answer:

The new price = $718. 8

Step-by-step explanation:

Original Price =  $599

Given that the increase is 20%.

i.e.

Thus,

The amount of 20% Percentage increase = 20/100 × 599

                                                                             = 0.2 × 599

                                                                              = $119.8

Therefore,

New price = Original price + 20% increase amount

                 = 599 + 119.8

                  = $718. 8

Therefore, the new price = $718. 8

8 0
3 years ago
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Karolina [17]

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78.57

Step-by-step explanation:

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6 0
3 years ago
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kiruha [24]

Answer:

(x + 7)² + (y - 1)² = 64

Step-by-step explanation:

Use the equation of a circle, (x - h)² + (y - k)² = r²

Plug in the point and center, then solve for r:

(x - h)² + (y - k)² = r²

(-7 + 7)² + (9 - 1)² = r²

0 + 64 = r²

64 = r²

8 = r

Then, plug in the center and r² into the equation:

(x + 7)² + (y - 1)² = 64

So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation

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