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mixer [17]
11 months ago
9

Which of the fractions are equivalent to the fraction below?

Mathematics
1 answer:
uranmaximum [27]11 months ago
7 0

Answer: 2/5 because when you multiply the numerator and denominator of 2/5 by 3, you get 6/15

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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
Write an expression with an exponent that has a value between zero and one
kow [346]
√(4) is equal to 4 raised to the (1/2). 1/2 as an exponent is between 0 and 1 and it means to take the square root.

So, 4^(1/2) = 2 (or -2)
4 0
3 years ago
Find the slope and y-intercpet. (Hint: Rewrite the equation in slope-intercept form first.)
hichkok12 [17]

Answer

y=4x-3

m=4 or 4/1

b=-3

3 0
3 years ago
70
BaLLatris [955]

Answer:

160 is the answer please tell me if im wrong

5 0
2 years ago
HELP ASAP
Solnce55 [7]
So, first let's refill the barrel to the top:
37.5 + 7*2.5 = 55
Now that it's full again, let's divide the total amount by the rate of water loss:
55/2.5 = 22
It will take 22 minutes to completely empty the rain barrel
5 0
3 years ago
Read 2 more answers
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