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UNO [17]
2 years ago
7

The NYC subway system has a total of 850 miles of train tracks, and a NYC subway train has an average speed of 17.4 mph. If you

laid all 850 miles of track end-to-end in one big circle, how much time would it take to ride a NYC subway train around the entire circumference of that circle?
Mathematics
1 answer:
AnnyKZ [126]2 years ago
8 0

Answer:48.85 hr

Step-by-step explanation:

Given

The length of the train track is L=850\ miles

the average speed of the train is v_{avg}=850\ mph

If this track is laid on to a big circle, then the length is equivalent to the circumference

time is taken to cover the circumference is given by

\Rightarrow t=\dfrac{L}{v}\\\\\Rightarrow t=\dfrac{850}{17.4}=48.85\ hr

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Nastasia [14]

Answer:domain 4 range 6

Step-by-step explanation:

7 0
3 years ago
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
2 years ago
A construction crew has repaired 1.37 miles of a highway. The total length of the highway to be repaired is 7.9. How many miles
JulijaS [17]

Answer:

Part A: m+1.37=7.9

Part B: 6.53 miles are left to be repaired.

Step-by-step explanation:

Given,

Length of repaired part = 1.37 miles

Total length to be repaired = 7.9 miles

Miles left to be repaired = m

Part A:

Create an equation to show the relationship between the number of miles repaired and the number of miles left to be repaired, m.

Miles left to be repaired + Length of repaired part = Total length to be repaired

m+1.37=7.9

Part B

How many miles are left to be repaired?

Subtracting 1.37 from both sides

6.53 miles are left to be repaired.

Keywords: length, subtraction

Step-by-step explanation:

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2 years ago
What is the 99th term counting by 2s
kolbaska11 [484]
You just have to multiply 2 by 99, so the answer is 198.
6 0
3 years ago
Read 2 more answers
Hello, please help me ​
dem82 [27]

Answer:

The second answer is correct.

Step-by-step explanation:

1 quart = 0.95 litres

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2 years ago
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