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Alinara [238K]
3 years ago
7

Two trains leave stations 182 miles apart at the same time and travel toward each other. One train travels at 55 miles per hour

while the other travels at 75 miles per hour. How long will it take for the two trains to meet? ...?
Mathematics
1 answer:
meriva3 years ago
4 0
Distance between the two stations from where the two trains leave = 182 miles
Speed of one train (S1) = 55 miles/hour
Speed of the other train = 75 miles/hour
Now
Time taken by the two trains to meet = Distance/(S1 + S2)
                                                           = 182/(55 + 75)
                                                           = 182/130
                                                           = 1.4 hours
From the above deduction, it can be concluded that the two trains will meet each other after 1.4 hours. I hope that the procedure is simple enough for you to understand.
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A probability experiment will consist of selecting one of two stacks of cards, and then choosing a card at random from the stack
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Answer:

The probability that the red card came from the first stack is:

40%

Step-by-step explanation:

a) Data and Calculations:

Stack         Red      Blue   Total

First            6           5         11

Second      9            0         9

Total         15            5       20

The probability of selecting from the first stack = 50% since equal opportunity is given to the two sacks.

The probability of red card from the first stack = 6/15 = 0.4 = 40%.

b) The probability that the red card came from the first stack is given by the number of red cards in the first stack divided by the number or red cards in the two stacks.  This is equal to 6/15 = 0.4 or 40%.

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Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

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Clearly, the area of square pizza is more and the difference in their area is

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