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2 years ago

Let a and b be non-zero integers. Which of the following is always true about the ratio a/b?

Mathematics

1 answer:

11111nata11111 [884]2 years ago

3 0

Answer:

Step-by-step explanation:

It will always be a rational number regardless of the value of A and B. Even if say A = 4 and B = 2, we get

4/2 = 2

2 is still a rational number because the definition of a rational number is

any 2 real numbers a, and b, written in the form a/b, where b cannot equal zero.

So 2 can be written as 2/1

This still equals 2, but it is now a rational number because 1 is not equal to zero

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kakasveta [241]

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3 years ago

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geniusboy [140]

Answer:

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Step-by-step explanation:

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3 years ago

Please help!! I’m not sure how to answer this question!!

nlexa [21]

<h3>Answer: 9V</h3>

=============================================================

Reason:

The volume expression of a cone with radius r and height h is

$\frac{1}{3}\pi*r^2*h$

Let's plug in the given height h = 12 and we'd get

$\frac{1}{3}\pi*r^2*h\\\\\frac{1}{3}\pi*r^2*12\\\\\left(\frac{1}{3}*12\right)\pi*r^2\\\\4\pi*r^2\\\\$

This is the volume of the first cone. We're told the first cone has a volume of V, so we can say $V = 4\pi r^2$

We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.

The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r

Replace every copy of r with 3r. Then simplify

$4\pi*r^2\\\\4\pi*(3r)^2\\\\4\pi*9r^2\\\\9(4\pi r^2)\\\\9V\\\\$

The radius tripled which results in a volume that's 9 times bigger.

3 0

1 year ago

There are 26 prize tickets in a bowl,labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen,not

labwork [276]

Answer:

3.1%, dependent event

Step-by-step explanation:

We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:

5/26

since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:

4/25

Therefore the final probability is:

5/26 * (4/25) = 0.031

In other words, selecting a vowel and then another (without replacement) the probability is 3.1%

The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.

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3 years ago

A migrating bird flies 700 miles in 1414 hours. How many miles does it fly in 33 hours

Lisa [10]

In 1414 hours it covered 700 miles

In 1 hour it would have covered (700/1414) mile

In 33 hours it will then cover : 700/1414 * 33 = 16.34

So in 33 hours it will cover ≈ 16.34 miles.

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2 years ago