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Neporo4naja [7]
3 years ago
14

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long wi

ll it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.
Mathematics
1 answer:
Contact [7]3 years ago
5 0

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

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4 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version  of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version  of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

x+y=1310\ \ \ \ \ equation\ 1

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version  of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

2.1x+4.4y=4752

Multiplying with 10 on both side, we get;

10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2

Now multiplying equation 1 by 21, we get;

21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3

Now subtract equation 3 from equation 2, we get;

(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870

On substituting the value of y in equation 1, we get the value of x;

x+y=1310\\\\x+870=1310\\\\x=1310-870=440

Hence There were 440 Standard version of songs downloaded in Web music store.

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