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cluponka [151]
3 years ago
12

A freight train leaves a station at noon traveling at 30 mph. A passenger train leaves 1 hour later traveling at 50 mph. At what

time will the passenger train overtake the freight train?
Mathematics
2 answers:
miv72 [106K]3 years ago
8 0
30t=50(t-1)
30t=50t-50
30t-50t=-50
-20t=-50
t=-50/-20
t=2.5 hours after the freight train leaves the station they will meet

zysi [14]3 years ago
4 0

Answer:

after 2.5 hour passenger train would overtake .

Step-by-step explanation:

A freight  train leaves a station at noon traveling at 30 mph.

A passenger train leaves 1 hour later travelling at 50 mph

Let the time to leave the station of freight train = t

time to leave passenger train = t - 1

Since distance = speed × time

the expression will be :

30t = 50(t - 1)

30t = 50t - 50

30t - 50t = -50

-20t = -50

t = \frac{-50}{-20}

t = 2.5 hours

After 2.5 hours passenger train would overtake the freight train.

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Answer:

Step-by-step explanation:

3 0
3 years ago
A bicycle was originally sold for $400 was on sale for $320. what percent was the bike marked down?
Eva8 [605]
100% of the price = $400
x % of the price = $320
we need to find x

using a proportion
100 : 400 = x : 320
100 * 320 = 400 * x
32000 = 400x
x = 32000 / 400
x = 80

That means the new price is 80% of the previous price.
100% - 80% = 20%
and based on this we can make a conclusion that the discount was 20%

I hope it is clear to you, feel free to ask anything about it :)

6 0
3 years ago
Read 2 more answers
PLEASE!! I NEED HELP
elixir [45]

Answer:

Option A, \frac{1}{7}

Step-by-step explanation:

<u>Step 1:  Determine the numbers that are multiples of 3</u>

8 → Not a multiple of 3

9 → Multiple of 3

14 → Not a multiple of 3

19 → Not a multiple of 3

25 → Not a multiple of 3

34 → Not a multiple of 3

38 → Not a multiple of 3

<u>Step 2:  Determine the probability of chosing a multiple of 3</u>

Since we only have 1 number that is a multiple of 3 out of the 7 given numbers, that means that we do the following:  

\frac{(1\ multiple\ of\ 3)}{7\ total\ numbers}

\frac{1}{7}

Answer: Option A, \frac{1}{7}

6 0
2 years ago
1. The rectangle shown is dilated by a scale factor of 2.
stealth61 [152]
Well, I don't what your question is, but I will assume that you want the dimensions of the rectangle after its dilation. So, multiply the dimensions of the rectangle by 2 to make it dilated.
8 0
3 years ago
Use the quadratic formula to solve the following equation -3x^2-x-3=0
tigry1 [53]

<u>Answer:</u>

x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i are two roots of equation -3 x^{2}-x-3=0

<u>Solution:</u>

Need to solve given equation using quadratic formula.

-3 x^{2}-x-3=0

General form of quadratic equation is a x^{2}+b x+c=0

And quadratic formula for getting roots of quadratic equation is

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case b = -1 , a = -3 and c = -3

Calculating roots of the equation we get

\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}

Since b^{2}-4 a c is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.

\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}

8 0
3 years ago
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