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DiKsa [7]
2 years ago
6

Prove: a/(b+c)+b/(a+c)+c/(a+b)<2

Mathematics
1 answer:
faust18 [17]2 years ago
4 0

Answer:

Step-by-step explanation:

a/(b+c) < 2a/(a+b+c)

b/(a+c) < 2b/(a+b+c)

c/(a+b) <2c/ (a+b+c)

so a/(b+c)+b/(a+c)+c/(a+b) <2(a+b+c)/(a+b+c)=2

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A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet a
erastovalidia [21]

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

8 0
2 years ago
a ferry traveled 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate.how much do the ferry t
Dahasolnce [82]

Answer:

1 hour = 7/18 of the distance between two ports

Step-by-step explanation:

Given that:

In 3/7 hours distance traveled is 1/6

For finding distance in one hour, divide both sides by 7/3 so that 3/7 would be cancelled out:

3/7 * 7/3 hours = 1/6 * 7/3 distance

By simplifying:

1 hour = 7/18 of the distance between two ports

This means that in one hour 7/18 of the distance is covered between two ports.

i hope it will help you!

8 0
3 years ago
Read 2 more answers
Negative 10.9p plus 3.9 equals negative 9.18.... what does p equal
Julli [10]

Answer:

-1.2

Step-by-step explanation:

10.9p+3.9=-9.18

Subtract 3.9 from -9.18 to isolate the variable.

10.9p=-13.08

Divide -13.08 by 10.9

-13.08/10.9=-1.2

Which equals

p=-1.2

4 0
3 years ago
Maura receives a 3% commission on every piece of furniture she sells. one day she sold a couch for $950. How much was her commis
Ad libitum [116K]

3%=3/100=0.03

950 multiplied by 0.03=28.5

$28.5

8 0
3 years ago
What is the distance between the points (-3,5) and (3,-8) in the standard (x,y) coordinate plane?
zlopas [31]
The vertical distance is 5 + 8 = 13
the horizantal distance is 3 +3 = 6
then just do pythag therom
6^2 + 13^2 = c^2
205 = c^2
<span>√205 = c
</span>
6 0
2 years ago
Read 2 more answers
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