Help me out important!!!!!!!

Which lists all the integer solutions of the inequality |x| < 3?

Sav [38]

The answer is c to your problemo

6 0

3 years ago

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

Eli wants to combine 0.5 gallon of a 10% acid solution with some 35% acid solution to make a 15% acid solution. How much of the

emmainna [20.7K]

Answer:

<h3> 0.125 galon of 35% acid solution</h3>

Step-by-step explanation:

0.5 gallon of a 10% acid solution

10%•0.5 = 0.05 gallon of acid in that solution

x gallon of 35% acid solution

35%•x = 0.35x gallons of acid in that solution

0.05 + 0.35x total of gallons of acid in both solutions

(0.5+x) gallons of 15% acid solution

15%(0.5+x) = 0.15(0.5+x) gallons of acid in that solution

the amount of gallons of acid didn't change after mixing, so:

0.05 + 0.35x = 0.15(0.5 + x)

0.05 + 0.35x = 0.075 + 0.15x

0.35x - 0.15x = 0.075 - 0.05

0.2x = 0.025

×5 ×5

x = 0.125

8 0

3 years ago

Read 2 more answers

-7d=56 <img src="https://tex.z-dn.net/?f=%20-%207%20%3D%2056" id="TexFormula1" title=" - 7 = 56" alt=" - 7 = 56" align="absmi

PtichkaEL [24]

The only thing you need to do is divide 56 by -7. You know the d must be a negative number because negative x negative= positive. So 56 / -7 is -8.

7 0

2 years ago

Please help me with this question!!

GarryVolchara [31]

It’s a right angle! which equals to 90° you already have 20° and 8° so you add them together and you get 28. now you have to subtract 90-28 which equals to 62.

ANSWER: 62°

6 0

2 years ago