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sladkih [1.3K]
3 years ago
11

In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and

the total number of points is 50, what is the least possible positive difference between n and m?
a. 1

b. 3

c. 5

d. 7

e. 9

Please show work!
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Answer:

b. 3

Step-by-step explanation:

Here, n players score 2 points and m players score 5 points,

So, total scores = 2n + 5m,

According to the question,

The total number of points is 50,

⇒ 2n + 5m = 50

Since, n and m can be any positive integers including 0 ( because number of players can not be negative or in fraction )

Also, for the positive integer value of m, n must be the multiple of 5 less than or equal to 25,

Thus, the possible values of m and n are,

(5,8), (10, 6), (15, 4), (25,0),

Since, 8-5 < 10-6 < 15-4 < 25-0

Hence, the least possible positive difference between n and m is 3.

Option 'b' is correct.

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Raja drove from A to B at an average speed of 50mph
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Answer:

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Step-by-step explanation:

Speed = distance / time

speed from distance a to b = 50 = 10 / time

time = 10/50 = 12 minutes

Speed from a to c = 62 = distance / 30 minutes

distance = 62 x 0.5 = 31 m

diatance from b to c = 31 - 10 = 21

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Three of these fractions are equivalent: B. 12 C . 21 D. 74 30 A. . 70 Which one is the odd one out?
IrinaVladis [17]

Answer:

12/30

Step-by-step explanation:

Here is the complete question

Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out

to determine the equivalent fractions, convert the fractions to percentage

\frac{30}{70} × 100 = 42.86%

\frac{12}{30} × 100 = 40%

\frac{9}{21} × 100 = 42.86%

\frac{6}{14} x 100 = 42.86%

Another method is to convert the fraction to its simplest form

30/70

To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7

12/30

To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5

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To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7

Using either methods, 12/30 is the odd one out  

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