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3 years ago

The difference between three times a number and 7 is 14

Mathematics

2 answers:

ale4655 [162]3 years ago

7 0

The sentence in numerical form is 3x-7=14
to solve, add 7
3x=21
then divide by 3
x=7

Stels [109]3 years ago

6 0

3x -7 = 14

3x - 7 (+7) = 14 (+7)

3x = 21

3x/3 = 21/3

x = 7

hope this helps

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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

Solution:

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"

The total distance travelled by the train across the bridge is given by:

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

Therefore, the speed is given as:

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

The total distance travelled by the train through the tunnel is given by:

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

The time taken is given as 90 seconds

Therefore, the speed is given as:

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

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

Find the speed of train:

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

Thus speed of train is 25 meter per second

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3 years ago

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slava [35]

Answer:

Step-by-step explanation:

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Solving gives:

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sqare root 36 = 6

2 * 6 * 3

So our answer is 36.

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Answer:

Step-by-step explanation:

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mixas84 [53]

Answer:

Step-by-step explanation:

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3 years ago

Let g(x) = 2x2 - 11x. Find g(-1). A) -13 Eliminate B) -9 C) 0 D) 13

worty [1.4K]

Solution

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g(-1) = 2 $(-1)^{2}$ - 11(-1)

Now we have to simplify it.

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So the answer is D) 13.

Thank you. :)

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