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LUCKY_DIMON [66]
3 years ago
12

Thirteen less than eight times a number is equal to 11 more than six times the number

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

Step-by-step explanation:

8x - 13 = 6x + 11

Subtract 6x from both sides

8x - 6x = 13 + 11

Add 13 to both sides

2x = 24

divide both sides by 2

x = 12

Check solution in original equation;

8(12) - 13 = 6(12) + 11

96 - 13 = 72 + 11

83 = 83

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B. 393,660

Step-by-step explanation:

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3 years ago
Evaluate Combination (6,6)
andrew11 [14]

Answer:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

Step-by-step explanation:

The utility for the combination formula is in order to find the number of ways to order a set of elements

For this case we want to find the following expression:

6C6

And the general formula for combination is given by:

nCx = \frac{n!}{x! (n-x)!}

On this case n =6 and x =6 we got:

6C6 = \frac{6!}{6! (6-6)!} = \frac{6!}{6! 0!}= \frac{6!}{6!}=1

8 0
2 years ago
One-half of the sum of a number and 6 is less than 25. What is the number
Leno4ka [110]

Answer:

44

Step-by-step explanation:

1/2(n + 6) < 25         Distribute

1/2n + 3 < 25

       - 3     - 3           Subtract 3 from both sides

1/2n < 22                  Multiply both sides by 2 or divide by 1/2

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