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3 years ago

Please help with how I am supposed to do this. D:

Mathematics

1 answer:

kakasveta [241]3 years ago

5 0

Create an inequality:

17+2x>25

(x is the number of goldfish he bought)

Simplify:

2x>8

x>4

Graph is by making a point on the line at 4 with an open circle and include the numbers larger than it (to the right of 4 on the line)

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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

Help with number 5 please

Goryan [66]

Answer:

22,5 km

Step-by-step explanation:

6 0

3 years ago

2.27 is a terminating decimal true or false??

IRINA_888 [86]

Answer:

true

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

We want to factor the following expression:

S_A_V [24]

Answer:

A. (U+V)^2 or (U-V)^2

Step-by-step explanation:

$9x^6 + 6x^3y + y^2 \\ \\ = {(3 {x}^{3} )}^{2} + 2.(3x^3).y +( y)^2 \\ \\ = \bigg({3 {x}^{3} } + y \bigg)^{2} \\ \\ = \bigg({3 {x}^{3} } + y \bigg) \bigg({3 {x}^{3} } + y \bigg) \\ \\ \\ \\$

4 0

2 years ago

Charlie graphed the line shown in the coordinate grid. Which equation represents the graph of Charlie’s line?

skelet666 [1.2K]

Answer:

i think C. y = -(4/3)x -4 is answer

3 0

2 years ago