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Blizzard [7]
3 years ago
13

Find the least common multiple of these two expressions. 15x^7y^3u^8 and 6y^4u^5

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

30x^7y^4u^8

Step-by-step explanation:

We have been given two expressions 15x^7y^3u^8 and

6y^4u^5

Now we need to find out least common multiple of these two expressions.

First we need to find out what is common factor of both expressions. 15x^7y^3u^8 and

6y^4u^5

Least common multiple means find the expression which can be divided by both expressions.

15 and 6 both goes into 30

so 30 is part of LCM (least common multiple )

Now pickup the highest exponent of each variable.

So we get x^7y^4u^8

Hence required least common multiple is 30x^7y^4u^8

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Answer:

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Step-by-step explanation:

given that y is proportional to x then the equation relating them is

y = kx ← k is the constant of proportionality

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2 years ago
An airplane travels 600 miles against the wind in 4 hours, and makes the return trip with then same wind in 2 hours. Find the sp
SOVA2 [1]

Answer:

The speed of wind is 75 miles / hour

Step-by-step explanation:

Let's assume

speed of airplane is x miles /hour

speed of wind is y miles /hour

Against wind:

An airplane travels 600 miles against the wind in 4 hours

against wind means resultant speed will be less

so, speed =x-y

total distance traveled in 4 hour is

=4(x-y)

and this has to be equal to 600

600=4(x-y)

Divide both sides by 4

and we get

x-y=150

With wind:

makes the return trip with then same wind in 2 hours

with wind means resultant speed will be more

so, speed =x+y

total distance traveled in 2 hour is

=2(x+y)

and this has to be equal to 600

600=2(x+y)

Divide both sides by 2

and we get

x+y=300

So, we get system of equations

x-y=150

x+y=300

now, we can solve it by adding both equations

x-y+x+y=150+300

2x=450

now, we can solve for x

x=225

now, we can  find y by plugging x into any one equation

225+y=300

y=75

So,

The speed of wind is 75 miles / hour


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