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3 years ago

A high-speed train passes through a 5.4 km long tunnel completely in 1 minute 7.68 seconds.

Mathematics

1 answer:

xenn [34]3 years ago

3 0

Answer:

Step-by-step explanation:

Speed time= distance

Change in/h into m/s by multiplyingby 5/18

=300×5/18=83.33

Time in sec=(1×60)+7.68=67.68

83.33×67.68=5640m

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Solve the following formula c=1/2f(q+b) for q

tensa zangetsu [6.8K]

Answer:q= (2C - fb)/f

Step-by-step explanation:

multiplying both sides by 2 we have,

2C = fb + fq,

subtract both sides by fb

fq = 2C - fb,

dividing both sides by f

q= (2C - fb)/f

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2 years ago

Which data set does the histogram represent?

MAVERICK [17]

Answer/Step-by-step explanation:

Ok so there is

3, 0-4 4, 5-9 2, 10-14 1, 15-19 1, 20-24

so you can get rid of the last one saying it has more than 1 number between 20-24.

The 3rd one has to short of numbers for 0-4.

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2 years ago

Read 2 more answers

What is the result when the number 10 is decreased by 5.1%?

SashulF [63]

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

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2 years ago

What is sum of -3x^2 - 7x + 9 and - 5x^2 + 6x - 4

valkas [14]

-8x2-x +5 hope this helps

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2 years ago

Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho

Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be= x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

Time taken by Samantha

$=\frac{80}{x}$

Time taken by Tamara

$=\frac{80}{4+x}$

Equation for difference in time

$=\frac{80}{x} -\frac{80}{4+x} =1$

Solve the equation for difference in time to get value of x which is samantha speed

$=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0$

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

$x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16$

Samantha speed is 16 mph

6 0

2 years ago