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Katyanochek1 [597]
3 years ago
14

Find the greatest common factor of the picture

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

63x^5=3x^5\cdot21\\\\3bx^{10}=3x^5\cdot bx^5\\\\GCF(63x^5;\ 3bx^{10})=3x^5

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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
The ratio of napkins to plates in the kitchen was 5 to 2. If there were 70 plates, how many napkins were there?
AVprozaik [17]
200 Napkins would be the answer 
6 0
3 years ago
A) What fraction of a day is 8 hours?
Scrat [10]

Answer:

a. 8/24 or 1/3 a day

b. 45/60 or 3/4 a hour

c. 1/7 of a week

d. 4/12 or 1/3 a year

Step-by-step explanation:

Simply divide by the conversion you want to set.

60 seconds is 1 hour

24 hours is 1 day

7 days is 1 week

3-4 weeks per month (depending on the month and year)

12 months a year

3 0
3 years ago
X = 2y + 4: line equation: please help me
choli [55]
This is how it would look on a graph.

8 0
3 years ago
One leg of a right triangle measures 6 inches. The remaining leg measures 6√3 inches. What is the measure of the angle opposite
Simora [160]
30°
Here's why:
Using the well-known Pythagorian theorem we can reckon how long the hypotenuse is:
c^2=6^2+36*3 -> c=12
Knowing that sin(a)=a/c=6/12=0.5 the measure of the angle in degrees is 30°
Hope could help :)
7 0
3 years ago
Read 2 more answers
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