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2 years ago

Which number sentence has a difference of 5? 8-(-3) 0 -3-8 -3-(-8) 3-(-8)

Mathematics

1 answer:

valina [46]2 years ago

6 0

Answer:

The 4th one

Step-by-step explanation:

-3-(-8)=5

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If r and s are positive integers, is \small \frac{r}{s} an integer? (1) Every factor of s is also a factor of r. (2) Every prime

Yuri [45]

Answer:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

Step-by-step explanation:

Given two positive integers $r$ and $s$ .

To check whether $\small \frac{r}{s}$ is an integer:

Condition (1):

Every factor of $s$ is also a factor of $r$ .

$r \geq s$

Let us consider an example:

$s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2$

$\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10$

which is an integer.

Actually, in this situation $s$ is a factor of $r$ .

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

$r = 2^2\cdot 5\\s =2^4\cdot 5$

$\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}$

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that $\small \frac{r}{s}$ is an integer.

If statement(2) holds true, it is not necessarily correct that $\small \frac{r}{s}$ is an integer.

8 0

3 years ago

In need of help please :)

Anettt [7]

Answer:

okay let's start

Step-by-step explanation:

$number \: 1 \\ cos \: b = \frac{adjacent}{hypotenuse} \\ cos \: b = \frac{ac}{cb} \\ \: \ cos \: b = \frac{12}{13} \\$

5 0

2 years ago

Select all the ratios equivalent to 16/14 24:21 32:28 21:7

pashok25 [27]

Answer:

First and second. 24:21, 32:28

Step-by-step explanation:

Just do it. Hope I helped you!;)

5 0

3 years ago

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-7.5 as a mixed number

Valentin [98]

Answer:

$-7\dfrac12$

Step by step explanation:

$-7.5=-\dfrac{75}{10}=-\dfrac{15}2=-7\dfrac{1}2$

8 0

2 years ago

The formula for calculating the volume of a cone is solve this formula for h

elixir [45]

Answer:

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

multiply either sides by 3:

$3 \times V = ( \frac{1}{3} \pi {r}^{2} h) \times 3 \\ \\ 3V = \pi {r}^{2} h$

divide either sides by πr² :

${ \boxed{ \boxed{h = \frac{3V}{\pi {r}^{2} } }}} \\$

7 0

2 years ago

Read 2 more answers