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3 years ago

100 points Please help Spam reported

Mathematics

2 answers:

dlinn [17]3 years ago

8 0

The answer is -3/4 hop this helps ………

Trava [24]3 years ago

4 0

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

Slope = -3/4

Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

With this equation, we can find the y-intercepts and x-intercepts

The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

12y / 12 = 360 / 12

y = 30

The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

8x/8 = 360/8

x = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x -8x

12y = 360 - 8x

12y / 12 = (360 - 8x) / 12

y = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

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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.

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Answer:

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3 years ago

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*100 points* *Please help* *Spam reported*

100 points Please help Spam reported