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Lynna [10]
3 years ago
6

David and Carlo ran laps to train for the long-distance running team. The ratio of the number of laps David ran to the number of

laps Carlo ran was to . If David ran miles, what percentage of the total number of miles did Carlo run?
Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

Carlo ran 33.3% of the miles.

Step-by-step explanation:

It sounds like David ran 2 laps for every 1 lap that Carlo ran. So, for every 1 mile that Carlo ran, David ran 2 miles, which means if you add both miles together: 1 mile (Carlo) + 2 miles (David) = 3 miles, that Carlo ran 1/3 of the miles, and David ran 2/3 of the miles. In percentages, it means Carlo ran 1/3=0.333 or 33.3% and David ran 2/3=0.666 or 66.6%

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pentagon [3]

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
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<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

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Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

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<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

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<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

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Answer: The answer is d.




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