Rachel and her sister Fran together can paint the living room in
hours
Given that
Rachel can paint half of the living room in 1 hour
Fran can paint
th part of the living room in 1 hour
Let's assume together they paint the living room in x hours
⇒ together they can paint
th part of the living room in 1 hour
By proportions,
⇒
+
=
{using operation proportions and addition}
⇒
=
⇒x=
⇒ together they can paint
th part of the living room in 1 hour
It means, Rachel and her sister Fran together can paint the living room in
hours
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Answer:
b. 
a. ![\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B8x%20%2B%2012y%5D%5E2%20%2B%20%5B6x%20%2B%209y%5D%5E2%20%3D%20%5B10x%20%2B%2015y%5D%5E2)
Step-by-step explanation:
b. 
a. ![\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B8x%20%2B%2012y%5D%5E2%20%2B%20%5B6x%20%2B%209y%5D%5E2%20%3D%20%5B10x%20%2B%2015y%5D%5E2)
The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.
I am joyous to assist you anytime.
Well, to find the perimeter we have to add all of the side lengths, so let's do that:
2x+3 +2x+3 +2x
And we know that this equals 36 so let's solve for x
2x+3+2x+3+2x = 36
6x+6 = 36
6x = 30
x = 5
So we know know that x = 5.
Now all you have to do is plug in the values of x into the lengths
2(5) + 3
= 10+3
= 13 is the length of two of the sides.
2x
= 2(5)
= 10
And 10 is the length of the last side.
Answer:
See below.
Step-by-step explanation:
The figure is a cone. The formula for the volume of a cone is:

The radius is 4.8 and the height is 2.9. Substitute:

Use a calculator:

And we're done!
Answer:
C
Step-by-step explanation:
-×/6>_3
-x>_3×6
-x>_18
x<_-18