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3 years ago

9

the temperature at 6:00AM was 0.8F. BY. 3:00pm the temperature had increased to 2.4 F find the differnce between the two tempera

tures. Draw models to find the difference

1 answer:

Tom [10]3 years ago

4 0

0.8+2.4= 10.4F it increased 10.4f from 6am to 3am

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Solve the following system by any method.

Fed [463]

answer is C. (3, 0)

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3 years ago

On average, each cigarette a person smokes takes 8 minutes off that person's life span. If someone smokes 20 cigarette per day f

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(8 min) x ( day/1,440 min) x (20 /day) x (365 da/yr) x (35 yr) =

(8 x 20 x 365 x 35) / (1,440) days =

(2,044,000) / (1,440) days =

1,419-4/9 days = 3.89 years

Rounded to the nearest year: <em>4 years</em>

At a pack a day for 35years, I would have expected more than
4 years' damage. But I've checked my math and haven't found
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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:

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

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

<em></em>

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 <em>s</em> is also a prime factor of <em>r</em>.

(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:

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

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

<em></em>

8 0

4 years ago

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to th

Allushta [10]

Answer:

$y>\frac{2}{3}x+3$

Step-by-step explanation:

step 1

Determine the slope of the dashed line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-3,1) and (0,3)

substitute

$m=\frac{3-1}{0+3}$

$m=\frac{2}{3}$

step 2

Find the equation of the dashed line in slope intercept form

$y=mx+b$

we have

$m=\frac{2}{3}$

$b=3$ ---> given problem

substitute

$y=\frac{2}{3}x+3$

step 3

Find the equation of the inequality

we know that

Is a dashed line and everything to the left of the line is shaded

so

$y>\frac{2}{3}x+3$

see the attached figure to better understand the problem

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4 years ago