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GREYUIT [131]
4 years ago
11

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by

Mathematics
1 answer:
serg [7]4 years ago
5 0
 simply,  R(x)=2x as a function of x.

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10% of ________ is 7<br> 25% of ________ is 6
GrogVix [38]

Answer:

I got

10% of 70 is 7

5 0
3 years ago
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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel
Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

<u><em>Solution:</em></u>

The speed is given by formula:

speed = \frac{distance}{time}

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

<em><u>The total distance travelled by the train across the bridge is given by:</u></em>

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 1260}{60}

<em><u>The total distance travelled by the train through the tunnel is given by:</u></em>

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

<em><u>Therefore, the speed is given as:</u></em>

speed = \frac{2x+ 2010}{90}

The speed of the train was the same in both cases.

Equate both speeds

\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}

\frac{x+630}{30} = \frac{x+1005}{45}

45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120

Thus length of train is 120 meters

<em><u>Find the speed of train:</u></em>

speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25

Thus speed of train is 25 meter per second

5 0
3 years ago
A train leaves the station and has to travel 486km. The train maintains a speed of 120km. After travelling for 3 hours and 15 mi
Anuta_ua [19.1K]

Answer:

I think its 2 hours 30 minutes

Step-by-step explanation:

7 0
3 years ago
How to write 637,853 in words
Nady [450]
Six hundred  thirty seven thousand eight hundred fifty  three 

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3 years ago
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a man falls into a drywall. it is 29 feet deep. he is able to climb out. if he climbs carefully he moves up 3 feet every hour bu
gavmur [86]
It him takes 29 hours to climb out of the Drywall.
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3 years ago
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