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Anastasy [175]
4 years ago
5

At noon a train leaves Washington, D.C., headed for Charleston, South Carolina, a distance of 500 mi. The train travels at a spe

ed of 44 mph. At 1 P.M. a second train leaves Charleston headed for Washington, D.C., traveling at 32 mph. How long after the train leaves Charleston will the two trains pass each other?
Mathematics
1 answer:
Bogdan [553]4 years ago
4 0

Answer:

6 hours

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

Firstly, it is important to know where the train that leaves Washington will get after one hour since they didn't start at the same time between noon and 1 is 1 hour.

Speed = distance / time

Distance = speed * time

The distance S = 44 * 1

S= 44m

To determine the time they will pass each other

500(total distance)- 44 ( distance gotten to in 1 hour) - d(the distance it willl pass each other =44* t(time the train will pass each other.

456-d =44t

Second train

d = 32t

Substituting to the equation

456-32t=44t

456=76t

t= 6 hours.

The time they will pass each other is six hours.

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What is the 32nd term of 311, 305, 299
nata0808 [166]

Answer:

503

Step-by-step explanation:

For an arithmetic sequence, the n-th term is found by

a_n = a_1 + (n - 1)d

To find d (the common difference) we can simply subtract one of the terms by the last, for example:

d = 299 - 305 \\d = -6 \\

The common difference must be the same throughout the entire sequence, so we can do it once more just to be sure:

d = 305 - 311\\d = -6

We also have to know that a_1 stands for the first term of the sequence, which in this case is 311.

Now that we know this, let's find the 32nd term

a_{32} = 311 + (32 - 1)-6\\a_{32} = 311 + 192\\a_{32} = 503

Good luck!

4 0
3 years ago
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FrozenT [24]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
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The length of a side of a cube can be determined
seraphim [82]

Answer:

Side of cube = 4 cm

Step-by-step explanation:

Given:

Volume of cube = 64 cm³

Find:

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Computation:

Volume of cube = side³

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8 0
3 years ago
The volume of a cube shaped shipping container is 2744 in.³ find the edge length of the shipping container
Dima020 [189]

Answer:

The edge length of the shipping container is 14 in.

Step-by-step explanation:

The volume enclosed by a cube  is the number of cubic units that will exactly fill a cube.

To find the volume of a cube  we need to recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself twice. Or as a formula:

                                                        V=s^3

where,  <em>s</em> is the length of any edge of the cube.  

To find the edge length of the shipping container we use the fact that the volume of a cube shaped shipping container is 2744 in³ and the above formula.

2744=s^3\\\\s^3=2744\\\\s=\sqrt[3]{2744}\\\\s = 14\:in

7 0
3 years ago
What are the solutions to 2x^2-4x-30=0
oksano4ka [1.4K]

Answer:

ill try  2x2-4x-30=0  

Two solutions were found :

x = 5

x = -3

Step by step solution :

Step  1  :

Equation at the end of step  1  :

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5 0
3 years ago
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