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Morgarella [4.7K]
2 years ago
15

The quotient of two numbers is 4. their sum is 20. What are the two numbers?

Mathematics
1 answer:
kari74 [83]2 years ago
4 0

9514 1404 393

Answer:

  16 and 4

Step-by-step explanation:

If x is the smaller one, then the larger is 4x. Their sum is ...

  x + 4x = 20

  x = 20/5 = 4

The two numbers are 16 and 4.

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There are 50 runners in a race. How many ways can the runners finish first, second, and third?
Dmitrij [34]

Number of ways can the runners finish first, second, and third is 1,17,600 .

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

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : P(n,r) = \frac{n!}{(n-r)!} where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

⇒ P(n,r) = \frac{n!}{(n-r)!}

⇒ P(50,3) = \frac{50!}{(50-3)!} = \frac{50(49)(48)47!}{47!}

⇒ P(50,3) = 50(49)(48)

⇒ P(50,3) = 1,17,600

∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

8 0
3 years ago
Across which Axis was point H reflected?
Vedmedyk [2.9K]

Answer:

X - axis

Step-by-step explanation:

H(9, - 1) \rightarrow H'(9, 1)

Since in the above reflection x coordinate remains the same and y-coordinate changes from 1 to - 1, hence point H is reflecting across X - axis.

4 0
3 years ago
What is the answer to -11y+x=-21
il63 [147K]
The answer to your question is
y= 1/11x +21/11
That’s in y=mx+b
5 0
3 years ago
1
svetoff [14.1K]

Answer:

1/2 ornament in an hour

Step-by-step explanation:

Given

Orna\ ments = 2

Time = 4

Required

Determine the ornaments per hour

This question implies that we calculate the unit rate.

Unit\ Rate = \frac{Orna\ ments}{Time}

Substitute values for Time and number of ornaments

Unit\ Rate = \frac{2}{4}

Unit\ Rate = \frac{1}{2}

<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>

3 0
2 years ago
Find the circumference of the object
ivolga24 [154]

Answer:

28.26

Step-by-step explanation:

circumference= 2πr or πd (diameter)

9 x 3.14=28.26

6 0
1 year ago
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