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Dima020 [189]
3 years ago
11

A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM,

heading towards each other. The distance between the cities is 360 miles. The freight train is travelling at 50 mph, the passenger train is travelling at 70 mph.
At what time will the trains pass each other?
Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

1 pm

Step-by-step explanation:

50t + 70t = 360

120t = 360

t = 3 hours later

1 pm

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Step-by-step explanation:

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3 years ago
Solve the system of equations. y=23x–19 x2–y= – 6x–23 Write the coordinates as integers, simplified proper or improper fractions
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Answer:

(3, 50) and (14,303)

Step-by-step explanation:

Given the system of equations;

y=23x–19 ....1

x²–y= – 6x–23 ...2

Substitute 1 into 2;

x²–(23x-19)= – 6x–23

x²–23x+19= – 6x–23 .

x²-23x + 6x + 19 + 23  = 0

x² - 17x + 42 = 0

Factorize;

x² - 14x - 3x + 42 = 0

x(x-14)-3(x-14) = 0

(x-3)(x-14) = 0

x = 3 and 14

If x = 3

y = 23(3) - 19

y = 69-19

y = 50

If x = 14

y = 23(14) - 19

y = 322-19

y = 303

Hence the coordinate solutions are (3, 50) and (14,303)

8 0
3 years ago
But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the buil
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Step-by-step explanation:

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3 years ago
4x + (-3) = 5x + 3 what does x equal
lianna [129]

Answer:

x = -6

Step-by-step explanation:

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