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ziro4ka [17]
3 years ago
5

at first an athlete jogs at 4 miles per hr and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours. how long does the

athlete jogs at each speed? the athlete jogged ? hours at a speed of 4 miles per hr and ? hour(s) at a speed of 6 miles per hour? ​
Mathematics
1 answer:
Talja [164]3 years ago
7 0

Answer:

The athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

Step-by-step explanation:

Given that at first an athlete jogs at 4 miles per hour and then jogs at 6 miles per hour, traveling 8 miles in 1.5 hours, to determine how long does the athlete jogs at each speed the following calculation must be performed:

4 x 1.5 + 6 x 0 = 6

4 x 1 + 6 x 0.5 = 7

4 x 0.75 + 6 x 0.75 = 7.5

4 x 0.5 + 6 x 1 = 8

Therefore, the athlete jogged at 4 miles per hour for 30 minutes, and jogged at 6 miles per hour for 1 hour.

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The LCD of the rational expressions are 30x^5, (3x - 1)(x + 6) and (x + 3)(x + 5)^2

<h3>How to determine the LCD of the rational expressions?</h3>

<u>Expression 1</u>

The rational expressions are given as:

3/10x^2 and x + 7/15x^5

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10x^2 and /15x^5

Expand each of the denominator.

10x^2 = 2 * 5 * x * x

15x^5 = 3 * 5 * x* x * x * x * x

Multiply all common factors without repetition

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<u>Expression 2</u>

The rational expressions are given as:

9/3x - 1 and 2x/x + 6

Write out the denominators

3x - 1 and x + 6

Expand each of the denominator.

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Multiply all common factors without repetition

So, the LCD of the denominators are

LCD = (3x - 1)(x + 6)

<u>Expression 3</u>

The rational expressions are given as:

8x/(x + 5)^2 and 4x + 1/x^2 + 8x + 15

Write out the denominators

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Expand each of the denominator.

(x + 5)^2 = (x + 5) * (x + 5)

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Multiply all common factors without repetition

So, the LCD of the denominators are

LCD = (x + 3) * (x + 5) * (x + 5)

LCD = (x + 3)(x + 5)^2

Hence, the LCD of the rational expressions are 30x^5, (3x - 1)(x + 6) and (x + 3)(x + 5)^2

Read more about LCD at:

brainly.com/question/1025735

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