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levacccp [35]
3 years ago
8

Arnold has a picture frame with a width of 8 inches and a height of 6 inches. Which proportion could be used to calculate the di

mensions of a smaller frame with a width of 5 inches, that is
similar to the larger one?
8
6
5
2
Mathematics
2 answers:
stira [4]3 years ago
8 0
8+6=15 7364647846385394
Marianna [84]3 years ago
4 0

Answer:

2

Step-by-step explanation:

5 inches width is 3 less then the original 8. 3 less than 5 is 2. i would say 3 but its not an answer choice.

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Use the Euclidean Algorithm to demonstrate that 621 and 82 are relatively prime to each other. Explain.
8090 [49]

Answer:

621 and 82 are relatively prime.

Step-by-step explanation:

Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one).

The greatest common divisor of two integers <em>a</em> and <em>b</em> is the largest integer that divides them both.

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

<em>Given integers a, b find </em>d=gcd(a,b)<em />

The Euclidean algorithm provides a fast way to determine <em>d</em> without knowing the prime factors of <em>a</em> or <em>b</em>. Here is an outline of the steps:

  1. Let a=x, b=y
  2. Given <em>x</em>, <em>y</em>, use the division algorithm to write x=yq+r, \quad 0\leq r\leq |y|.
  3. If r = 0, stop and output <em>y</em>; this is the gcd of a, b.
  4. If r \neq 0, replace (<em>x, y</em>) by (<em>y, r</em>). Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly until we get a result that lies between 0 (inclusive) and D (exclusive) and is the smallest non-negative number obtained by repeated subtraction.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

Applying the above steps,

621-82=539\\539-82=457\\457-82=375\\375-82=293\\293-82=211\\211-82=129\\129-82=47\\\\621=82\cdot7+47

621 = 82\cdot 7 + 47\\ 82 = 47\cdot 1 + 35\\ 47 = 35\cdot1 + 12\\ 35 = 12\cdot2 + 11\\ 12 = 11\cdot1 + 1\\ 11 = 1\cdot11 + 0

The gcd(621, 82) is 1. Therefore, 621 and 82 are relatively prime.

5 0
3 years ago
A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in r
Ymorist [56]
She will need to cut 26.6 haircuts a month a location A to break even (1200/45 = 26.6) so roughly 27 haircuts to make a profit


She will need to cut 30 haircuts at location B to break even (1800/60 = 30) and 31 hair cuts to see a profit.


She will need to cut 30.67 haircuts at location A and 33 haircuts at location B to make the same profit at either location (Roughly $180).


30.67 x 45 = 1380.15 - 1200 = 180

33 x 60 = 1980 - 1800 = 180
7 0
3 years ago
You received a bill for $82.53. You prepaid on a budget plan for $110.00/ mth. How much was
Yakvenalex [24]

<em>Answer:192.53</em>

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

<em>        You just Add:</em>

$82.53+$110.00=192.53

Your answer is: 192.53

8 0
3 years ago
A microorganism is a pathogen that _______
sergij07 [2.7K]

Answer:

A. can cause disease

Step-by-step explanation:

7 0
3 years ago
The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Wire and solve an al
Dmitry_Shevchenko [17]
Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
   = 8 inches
Length = 8 inches x 4
            = 32 inches
Width = 8 inches x 3
          = 24 inches

 Hope this helps :))

<em>~Top♥</em>
5 0
3 years ago
Read 2 more answers
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