Here is a free 100 points.

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Answer 1

Answer:

Answer:

Step-by-step explanation:

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The width of a rectangle is 61 centimeters more than the length. The perimeter is 406 centimeters. Find the length and the width.

Answers

$Step \; 1: \; Assign \; Variables \; for \; the \; unknown \; that \; we \; need \; to \; find$

$Let \; x \; be \; length \; of \; the \; rectangle$

$Step \; 2: \; Set \; up \; equation \; based \; on \; information \;\n given \; about \; the \; rectangle$

$Statement \; 1: Width \; of \; a \; rectangle \; \nis \; 61cm \; more \; than \; the \; length\n\nWidth \; = \; 61+x\n\nStatement \; 2: \; The \; perimeter \; is \; 406cm\n\nPerimeter=2(Length+Width)\nPerimeter =2(x+61+x)\n\nSo \; the \; mathematical \; equation \; would \; be \n 2(x+61+x)=406$

$Step \; 3: \; Solve \; the \; equation \; by \n undoing \; whatever \; is \; done \; x.\n\n2(x+61+x)=406\nGroup \; and \; Combine \; like \; terms \; inside \; the \; parenthesis\n\n2(2x+61)=406\nDistribute \; 2 \; in \; the \; left \; side \; of \; the \; equation\n\n4x+122=406\nSubtract \; 122 \; on \; both \; sides\n\n4x+122-122=406-122\nSimplify \; on \; both \; sides\n\n4x=284\nDivide \; on \; both \; sides\n\n(4x)/(4)=(284)/(4)\nSimplify \; fractions \; on \; both \; sides\n\nx=71$

$Conclusion:\nLength=x=71cm\nSubstituting \; 71 \; for \; x \; and \; find \; Width \; value.\nWidth=61+x=71+61=132cm\n\nLength \; is \; 71 cm \; and \; Width \; is 132cm$

Final answer:

The length of the rectangle is 71 centimeters and the width is 132 centimeters.

Explanation:

To find the length and width of the rectangle, we can set up a system of equations. Let's denote the length of the rectangle as L and the width as W. We know that W = L + 61. The formula for the perimeter of a rectangle is P = 2L + 2W. Plugging in the given values, we have 406 = 2L + 2(L + 61). Simplifying this equation, we get 406 = 4L + 122. Subtracting 122 from both sides, we obtain 284 = 4L. Dividing both sides by 4, we get L = 71. Finally, substituting the value of L into the equation W = L + 61, we find W = 71 + 61 = 132. Therefore, the length of the rectangle measures 71 centimeters and the width measures 132 centimeters.

Learn more about Rectangle dimensions here:

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Tate has been dancing for 710 of an hour. Marcia has been dancing for 3.6 times the amount of time than Tate has been dancing. How long has Marcia been dancing for? Write your answer as a decimal.

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Answer: 2.52

Step-by-step explanation:

(assuming that when you say 710, you mean 7/10)

3.6/1 times 7/10 = 25.2/10 or 2.52

Solve the inequality and sketch the graph
4-5x>-13 and 3-x<10

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Answer:

balls

Step-by-step explanation:

I need help can't get this one wrong please help me

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b. 88 inches
divide diameter by 2 to get radius

Just simply get a inches chart and multiply how many cm is a in. Then multiply the other number by that

If one letter is chosen at random from the word combed, what is the probability that the letter chosen will be a "d"? Fraction:

Decimal:

Percentage:

Likelihood of the event happening:

Answers

combed

The word combed has 6 letters, only 1 of which is the letter d.

So, the fraction is 1/6.

Dividing, if you round to the nearest hundredth, the decimal is 0.17.

Using the fraction again, if you multiply 1/6 by 100 to make it 100/6 and then round to the nearest hundredth, you get 16.67 %.

Likelihood of the event happening can be represented in any of the above ways shown above.

What is the formula for the Pythagorean theory?

Answers

a^2 + b^2= c^2
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