Ask question

Ask question

All categories

FromTheMoon [43]

3 years ago

8

a loaded truck is traveling 20 mph faster than a freight train. In the time it takes the train to travel 160 miles, the truck tr

avels 240 miles. find the speed of the truck

1 answer:

almond37 [142]3 years ago

6 0

Speed of trucks= x speed of trains =x-30 A loaded

You might be interested in

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

3 years ago

Read 2 more answers

I NEED HELP!!! 12 PTS!!!

Agata [3.3K]

The answer is 13 packages.

6 0

3 years ago

Read 2 more answers

What is the median of this data set?

bazaltina [42]

Answer:

14

Step-by-step explanation:

Because the median is the middle number when the data set is in order least to greatest so you already have it in least to greatest so thank you for helping me.

and for extra just in case.

Mean=16.222

the mean= the average of the data set

Mode is 13,14

The mode is the number that appears the most in a data set and 13 and 14 appear twice.

Your range is=13

Range is the highest number subtracting the lowest number so 24 -11 which =13

Minimum is 11 because the minimum is the lowest number in data set..

Maximum is 24

Maximum is the highest number in the data set.

I hope this helps have a awesome day:)

7 0

2 years ago

Read 2 more answers

Simplyfi. (9g^10p^8)^2<br> im confused pls help

andreev551 [17]

So the right answer is 9g^20p^16

look at the attached picture

Hope it will help you

Good luck on your assignment

5 0

3 years ago

Read 2 more answers

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Free_Kalibri [48]

Answer:

12.5cm

Step-by-step explanation:

the figure appears to be a circle centered around point B, wherein segment CB is a radiai and segment DF is a diameter.

radiai(radius plural) are known to be 1/2 the length of diameters

(1/2) × 25 = 12.5

8 0

2 years ago

Read 2 more answers