8yards=24ft
as a fraction=3/24
simplest form=1/8
hope this helps
Answer:
-3
Step-by-step explanation:
-3k / ( k-2) + 6 / ( k-2)
since the denominators are the same we can add the numerators
(-3k+6) / ( k-2)
Factor out -3
-3 ( k-2)/ ( k-2)
Cancel like terms
-3
Answer:
![\sqrt{145}](https://tex.z-dn.net/?f=%5Csqrt%7B145%7D)
Step-by-step explanation:
The distance formula states that the distance between two points
and
is
.
The two points we have are
and
. Plugging these numbers into the distance formula, we have
.
Simplifying with order of operations, first using the distributive property, gives
.
Squaring and adding gives
![\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},](https://tex.z-dn.net/?f=%5Csqrt%7B%284%2B4%29%5E2%2B%286%2B3%29%5E2%7D%3D%5Csqrt%7B8%5E2%2B9%5E2%7D%5C%5C~~~~~~~~~~~~~~~~~~~~~~~~~~~~%3D%5Csqrt%7B64%2B81%7D%5C%5C~~~~~~~~~~~~~~~~~~~~~~~~~~~~%3D%5Cboxed%7B%5Csqrt%7B145%7D%7D%2C)
which is the answer in simplest form. This also rounds to about 12.04.
Answer:
(2 + 1)^2 + 2 = 10 - 6
Falso
Step-by-step explanation:
The left side
11
does not equal to the right side
4
, which means that the given statement is false.
False
If 19 out of 28 renters keep a pet, there are
renters who don't keep a pet.
Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute
![\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100](https://tex.z-dn.net/?f=%20%5Cdfrac%7B%5Ctext%7Bnumber%20of%20elements%20in%20the%20subset%7D%7D%7B%5Ctext%7Bnumber%20of%20elements%20in%20the%20set%7D%7D%5Ctimes%20100%20)
So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes
![\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%](https://tex.z-dn.net/?f=%20%5Cdfrac%7B9%7D%7B28%7D%5Ctimes%20100%20%3D%200.32%5Coverline%7B142857%7D%5Ctimes%20100%20%3D%2032.%5Coverline%7B142857%7D%20%5Capprox%2032.14%5C%25%20)