The value of y will be 18 or 144.
Given information:
The given expression is ![\sqrt[3]{\frac{144}{y} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7By%7D%20%7D)
.
It is required to find the values of y which are whole numbers.
Now, factorize 144 as,
So, for the value of given expression to be a whole number, the value of y should be,
or 144.
For the above values of y, the given expression will be,
![\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{18} }\\=\sqrt[3]{8} =2\\\sqrt[3]{\frac{144}{y} }=\sqrt[3]{\frac{144}{144} }\\=\sqrt[3]{1} \\=1](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7By%7D%20%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7B18%7D%20%7D%5C%5C%3D%5Csqrt%5B3%5D%7B8%7D%20%3D2%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7By%7D%20%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B144%7D%7B144%7D%20%7D%5C%5C%3D%5Csqrt%5B3%5D%7B1%7D%20%5C%5C%3D1)
Therefore, the value of y will be 18 or 144.
For more details, refer to the link:
brainly.com/question/17429689
What aboout it? please clarify.
1 whole thing = 6 sixths
3 whole things = 18 sixths
1 third of a whole thing = 2 sixths of it
3 wholes plus 1 third = 18 sixths plus 2 sixths = 20 sixths
1/2in = 16 mi
2 3/4 in without whole numbers [(denominator ×whole) + numerator] / denominator
4×2 = 8 +3 = 11/4
Find common denominator for 1/2 and 11/4 (common D Is 4)
Multiply 1/2 by 2/2
2/4 in = 16 mi divide this by 2
2/4 ×1/2 = 1/4
16 /2 = 8
1/4 = 8
1/4 goes into 11/4 11 times
Multiply 8 times 11
88 miles (D)
End zone to end zone is = length so his scale is 6 in and in real life it is 360 ft
To find scale divide 360 by 6
1in = 60 ft (B)
160 ft wide
(divide 160 by 60 ft ) fraction
160/60 is a fraction now simplify
16/6
Common factors of both numbers is 2
Simplify by 2
8/3
Make into whole number fraction
3 goes into 8 two times (2×3=6)(2 becomes whole number) while there's is 2 left over( 8 -6=2) (becoming the numerator)
2 2/3 in (B)
120 ft long
80 ft wide
24 in is scale of "long"
Divide 120 by 24
120÷24=5
So 5in in scale equals 1ft in real life
To find width in scale divide 80 by 5
80/5= 16in (A)
If you have any trouble understanding feel free to let me know I will try to explain as best as I can :)
