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antoniya [11.8K]
3 years ago
11

The perimeter of a rectangular pen is 136 meters. If the length is 5 meters more than twice the width, what are the dimensions o

f the pen?
Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer: width = 21, length = 47

<u>Step-by-step explanation:</u>

Length (L) = 2w + 5

width (w) = w

Perimeter (P) = 136

P = 2L + 2w

136 = 2(2w + 5) + 2w    <em>substituted the given values above</em>

136 = 4w + 10 + 2w       <em>distributed 2 on the right side</em>

136 = 6w + 10                <em>added like terms (4w and 2w)</em>

126 = 6w                       <em>subtracted 10 from both sides</em>

 21 = w                          <em>divided both sides by 6</em>

Length (L) = 2w + 5

                 = 2(21) + 5

                 = 42 + 5

                  = 47

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Step-by-step explanation:

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180-100=80°

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Divide 128 chairs among 3 rooms in the ratio of 1 : 3 : 4.​
Alex_Xolod [135]

Answer:

Step-by-step explanation:

1x+3x+4x= 128

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therefore,

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2 years ago
What is the solution to the system of equations? x=4y 6 x-3y=4
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Ax +by = 16
Talja [164]

Answer:

  • The system has infinitely many solutions when a = 3/4 and b = 1/2

<h3>Given </h3>

System of linear equations

  • ax +by = 16
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<h3>To find </h3>

  • Values of a and b that leads to infinitely many solutions

<h3>Solution</h3>

The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.

We can solve it in two different ways

1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.

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2. Convert both equations from standard to slope-intercept form and compare:

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