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bixtya [17]
3 years ago
8

Juana is 4 feet 8 inches tall. She won 1st place in a cross country race. To receive her medal she stood on a platform that was

18 inches tall. What was the total distance from the top of Juanas head the the ground when she was standing on the platform?
Mathematics
1 answer:
ioda3 years ago
6 0

Answer:

The distance from the top of her head to the floor is 6 feet 2 inches.

Step-by-step explanation:

In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:

height = 4*12 + 8 = 56 inches

Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:

distance = height + platform = 56 + 18 = 74 inches

We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:

distance = 74/12 = 6 feet 2 inches

The distance from the top of her head to the floor is 6 feet 2 inches.

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Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496
coldgirl [10]

Answer:

(a) gcd(20, 12)=4

(b) gcd(100, 36)=4

(c) gcd(496,207 )=1

Step-by-step explanation:

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

Here is an outline of the steps:

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

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.

(a) To find gcd(20, 12) we apply the Euclidean algorithm:

20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(20, 12)=4.

(b) To find gcd(100, 36) we apply the Euclidean algorithm:

100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0

The process stops since we reached 0, and we obtain gcd(100, 36)=4.

(c) To find gcd(496,207 ) we apply the Euclidean algorithm:

496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0

The process stops since we reached 0, and we obtain gcd(496,207 )=1.

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3 years ago
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antiseptic1488 [7]

Answer: The answer is  1400000000

Step-by-step explanation:

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storchak [24]

<em><u>Hi there! :)</u></em>

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

<em><u>x>24</u></em>

<em><u>*The answer must have a positive sign and greater than symbol sign.*</u></em>

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

First, you switch sides.

x+18>42

Then, you subtract by 18 from both sides of an equation.

x+18-18>42-18

Finally, you subtract by the numbers from left to right.

42-18=24

<u><em>Final answer is x>24</em></u>

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