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3 years ago

A train can travel 744 miles in 3 hours .what is the unit rate that this train is traveling per hour in miles

1 answer:

6 0

If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.

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C=r(5-d)/y We need to solve for d.

GrogVix [38]

Answer:

5-Cy/r = d

Step-by-step explanation:

C=r(5-d)/y

Multiply each side by y

Cy=r(5-d)/y *y

Cy=r(5-d)

Divide each side by r

Cy/r=r(5-d)/r

Cy/r=(5-d)

Subtract 5 from each side

Cy/r - 5 = 5-d-5

Cy/r - 5 = -d

Multiply by -1

-Cy/r + 5 = d

5-Cy/r = d

5 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-10, 8) and

vlada-n [284]

Answer:

$slope=3$

Step-by-step explanation:

Use the following equation the find the slope:

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}$

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:

$(-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}$

Solve:

$\frac{-7-8}{-15+10}=\frac{-15}{-5}$

Simplify. Two negatives make a positive:

$\frac{-15}{-5}=\frac{15}{5}$

Simplify fraction by dividing top and bottom by 5:

$\frac{15}{5}=\frac{3}{1} =3$

The slope is 3.

:Done

8 0

3 years ago

Someone help<br> + I need to show my work<br><br> 25.12 + 4.75

Pani-rosa [81]

Answer:

29.87

Step-by-step explanation:

4 0

3 years ago

Pls help i’ll give brainliest

ivann1987 [24]

Answer:

the third one

Step-by-step explanation:

The domain of y=sqrt(x) is all real numbers greater than or equal to 0

7 0

3 years ago

I need help in partial fraction!! With simple explaination would be nice!

WITCHER [35]

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}$

The degree of the numerator (4) is larger than the degree of the denominator (3), so first you need to divide. (Added screenshot of long division procedure.)

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x-\dfrac{4x^2-17x+10}{x(x^2-3)}$

Now the second term can be decomposed into partial fractions.

$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1}x+\dfrac{r_2x+r_3}{x^2-3}$
$\dfrac{4x^2-17x+10}{x(x^2-3)}=\dfrac{r_1(x^2-3)+x(r_2x+r_3)}{x(x^2-3)}$
$4x^2-17x+10=r_1(x^2-3)+x(r_2x+r_3)$
$4x^2-17x+10=(r_1+r_2)x^2+r_3x-3r_1$
$\implies\begin{cases}r_1+r_2=4\\r_3=-17\\-3r_1=10\end{cases}\implies r_1=-\dfrac{10}3,r_2=\dfrac{22}3,r_3=-17=-\dfrac{51}3$
$\implies\dfrac{4x^2-17x+10}{x(x^2-3)}=-\dfrac{10}{3x}+\dfrac{22x-51}{x^2-3}$

So

$\dfrac{x^4-7x^2+17x-10}{x(x^2-3)}=x+\dfrac{10}{3x}-\dfrac{22x-51}{x^2-3}$

3 0

3 years ago