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juin [17]
3 years ago
11

The ratio of hamburgers to hot dogs is 6 to 5. Three times the number of hot dogs is 6 more than twice the number of hamburgers.

How many hot dogs are there?
Mathematics
1 answer:
Kitty [74]3 years ago
8 0

Answer:the number of hot dogs is 10

Step-by-step explanation:

Let x represent the number of hamburgers.

Let y represent the number of hot dogs.

The ratio of hamburgers to hot dogs is 6 to 5. This means that the ratio of x to y is 6/5

x/y = 6/5

5x = 6y

x = 6y/5

Three times the number of hot dogs is 6 more than twice the number of hamburgers. This means that

3y = 2x + 6 - - - - - - - - -1

Substituting x = 6y/5 into equation 1, it becomes

3y = 2(6y/5) + 6

3y = 12y/5 + 6

Multiplying both sides of the equation by 5, it becomes

15y = 12y + 30

15y - 12y = 30

3y = 30

y = 30/3 = 10

x = 6y/5 = 6×10/5

x = 60/5 = 12

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Question
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Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

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The approximate percentage of SAT scores that are less than 865 is 16%.

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