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3 years ago

Solving a word problem involving rates and time conversion

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

It takes 4.75 hours to travel 247 miles.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

A car travels at an average speed of 52 miles per hour.

This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?

1 h - 52 m

x h - 247 m

Applying cross multiplication

$52x = 247$

$x = \frac{247}{52}$

$x = 4.75$

It takes 4.75 hours to travel 247 miles.

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Answer:

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Step-by-step explanation:

Given in the question an expression,

$\frac{9}{\sqrt{x} -\sqrt{x-3}}$

Step 1

Divide and multiple by $\sqrt{x}+\sqrt{x-3}$ to remove radical sign from denominator.

$\frac{9}{\sqrt{x} -\sqrt{x-3}}*\frac{\sqrt{x} +\sqrt{x-3}}{\sqrt{x} +\sqrt{x-3}}$

Step 2

Apply a² - b² = (a+b)(a-b)

$\frac{9*\sqrt{x}+\sqrt{x-3}}{\sqrt{x^{2}}-\sqrt{(x-3)^{2}}}}$

Step 3

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Step-by-step explanation:

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3 years ago

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KengaRu [80]

Answer:

(a) A = {1, 2, 3, 4, 5, 6}

(b) B = {1, 2, 3, 4, 5, 6}

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Step-by-step explanation:

Assume each roll can result in the numbers 1, 2, 3, 4, 5, or 6.

(a) If both rolls result in a 1, the maximum value is 1. If either roll results in a 6, the maximum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

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(b) If either roll results in a 1, the minimum value is 1. If both rolls result in a 6, the minimum value is 6; all integers between 1 and 6 are also possible. Therefore, the possible values are:

B = {1, 2, 3, 4, 5, 6}

(c) If both rolls result in a 1, the sum is 2. If both rolls results in a 6, the sum is 12; all integers between 2 and 12 are also possible. Therefore, the possible values are:

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3 years ago

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Step-by-step explanation:

You correctly answered!

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