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2 years ago

Change the units up above to the correct answer from (a) to (d)

Mathematics

1 answer:

Leto [7]2 years ago

6 0

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

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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

5 0

3 years ago

Sandy wants to make a punch recipe with 2 parts pineapple juice to 6 parts ginger ale if you wants to increase the recipe using

Blizzard [7]

Answer:

Step-by-step explanation:

If you go from 2 parts pineapple to 8, thats a 4x increase. Therefore 6x4=24 (6 from the Ginger)

4 0

3 years ago

Annual salary is 37,440. what is his biweekly pay?

MakcuM [25]

Answer:

1,560

Step-by-step explanation:

37,440 divided by 12 = 3,120

biweekly means every 2 weeks. so 3,120 divided by 2 = 1,560

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3 years ago

What is the answer please help me

Delicious77 [7]

Answer

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which is the equation of a line parallel to the line with equation y=3x-4

prisoha [69]

Answer

y=−3x+10

The given equation is in slope-y intercept form. The slope is the coefficient of x…which is -3, and the y-intercept is the constant term…+4.

Parallel lines have the same slope. So the correct equation should have a slope of -3. The only change will be the constant term (y-intercept) which needs to be +10. which gives us the equation….y =-3x+10.

Step-by-step explanation:

7 0

3 years ago