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Montano1993 [528]
3 years ago
13

A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the s

tation and travels at an average rate of 56 mph on a parallel track. How many hours after the Express train starts will the it overtake the Local?
Mathematics
2 answers:
Phantasy [73]3 years ago
8 0
Hello,

Let's assume x the time the express runs.

56*x=35*(1.5+x)
==>21x=52.5

==>x=2.5 h =2 h 30 min
Bogdan [553]3 years ago
3 0
X=2.5 h =2 h. 30 min.
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0.5(8x+4) + (2x+ 1)<br><br>k(2x+1)​
julsineya [31]

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A jar has 20 marbles: 3 green, 12 blue, 5 red.
nadezda [96]

Probability is defined as the <u>likelihood or the certainty</u> that an event is going to<u> occur or happen.</u>

The probability of randomly choosing a red and then a green marble is 3/76.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

<u>The probability of choosing a red marble</u> = Number of red marbles / Total number of marbles

= 5/20

<u>In simplest fraction form</u> = \frac{1}{4}

We are told in the question that you keep the red marble you choose, So this means the <u>total number of marbles</u> left reduces to 19

<u>The probability of choosing a green marble is</u> =  Number of green marbles / New total number of marbles

= 3/19

Therefore, <u><em>the probability of randomly choosing a red and then a green marble is </em></u>

P (Red) x P(Green)

= 1/4  x 3/19

= 3/76

To learn more, visit the link below:

brainly.com/question/22563776

4 0
2 years ago
A ski-lodge casts a 3-foot long shadow. at the same time, a 3.5 foot ski pole sticking vertically out of the snow casts a 0.5 fo
Alisiya [41]

Answer:

The lodge is 21 feet tall.

Step-by-step explanation:

Ski Lodge:

object/shadow

x/3

Ski Pole:

object/shadow

3.5/0.5

Solve for x:

x/3 = 3.5/0.5

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3 0
2 years ago
Write the equation of a line in slope-intercept form parallel to the line y = -2x + 7 and contains (-1, 3).
JulsSmile [24]

Answer:

The answer is

<h2>y = - 2x + 1</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 2x + 7

Comparing with the general equation above

Slope = - 2

Since the lines are parallel their slope are also the same

Slope of parallel line = - 2

The equation of the line using point (-1, 3) and slope - 2 is

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We have the final answer as

y =  - 2x + 1 \\

Hope this helps you

7 0
3 years ago
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