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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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"Express as a mixed numeral: 39/8" is a problem found in a fifth-grade arithmetic textbook. This problem is BEST solved through:
Scilla [17]

Answer:

  c.  an algorithm

Step-by-step explanation:

Most math problems are best solved using an algorithm. Certainly, converting numbers from one form to another is easily done that way.

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The integer part is the whole-number quotient of the division. The fractional part is the remainder divided by the denominator:

  39/8 = 32/8 + 7/8 = 4 7/8

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2 years ago
There are 420 students. 63 students were out sick. What percent of the student population is ill?
emmainna [20.7K]
To find the percentage,here's what we can do:
\frac{student \: out \: sick}{original \: population} \times 100\%

The percentage would then be:
=63/420×100%
=3/20×100%
=0.15×100%
=15%

Therefore the answer is 15%.

Hope it helps!
3 0
3 years ago
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Solve the equation 1/4 (x+2)+5=-x
AnnyKZ [126]

Answer:

Exact Form:

x=−225

Decimal Form:

x=−4.4

Mixed Number Form:

x=−4 2/5

Step-by-step explanation:

8 0
3 years ago
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What is x for Unknown angle problems with algebra?
yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

We are given a right angle which is equal to 90°

So, all three angles must sum to 90°

Our equation will be:

x+2x+(x+10)=90

Solving and finding value of x

x+2x+x+10=90\\4x=90-10\\4x=80\\x=80/4\\x=20

So, the value of x=20

Keywords: Angles

Learn more about angles at:

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2 years ago
Consider the sequence given by a plus 8 pattern: 2, 10, 18, 26, ….
Finger [1]

Answer:

n = 1 second formula

n = 0 first formula

Step-by-step explanation:

I answer this in the other question you put, here it is again.

This is easy to get. We know the sequence cause it follows a pattern of 8, so let's try some values of n from 1 to 4, to get those numbers with the first formula:

n = 1,2,3,4

f(1) = 8(1) + 2 = 10

f(2) = 8(2) + 2 = 18

f(3) = 8(3) + 2 = 26

f(4) = 8(4) + 2 = 34

As you can see, with the first formula, the first term is 10, and not 2. The only way to get 2 with n = 1 is with the second formula:

f(1) = 8(1) - 6 = 2

f(2) = 8(2) - 6 = 10

f(3) = 8(3) - 6 = 18

f(4) = 8(4) - 6 = 26

With n = 1, the second formula was better and correct.

The first formula could be right only beggining with n = 0. Here is the proof:

f(0) = 8(0) + 2 = 2

6 0
3 years ago
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