Answer:

Step-by-step explanation:
![\sqrt[3]{\dfrac{125}{1000}}\qquad\text{use}\ \sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}\\\\=\dfrac{\sqrt[3]{125}}{\sqrt[3]{1000}}=\dfrac{5}{10}\\\\\\\sqrt[3]{125}=5\ because\ 5^3=125\\\\\sqrt[3]{1000}=10\ because\ 10^3=1000](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B125%7D%7B1000%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Csqrt%5Bn%5D%7B%5Cdfrac%7Ba%7D%7Bb%7D%7D%3D%5Cdfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Csqrt%5B3%5D%7B125%7D%7D%7B%5Csqrt%5B3%5D%7B1000%7D%7D%3D%5Cdfrac%7B5%7D%7B10%7D%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7B125%7D%3D5%5C%20because%5C%205%5E3%3D125%5C%5C%5C%5C%5Csqrt%5B3%5D%7B1000%7D%3D10%5C%20because%5C%2010%5E3%3D1000)
The formula of a perimeter of a rectangle:

We have:

Substitute

<h3>Answer: Length = 35 in, Width = 25 in.</h3>
Answer:
The closet equivalent of the ratio of 'a' to 'c' is:

Step-by-step explanation:
Given
i.e.
a=0.63x
i.e.
c=3/8x
Hence,


Thus, the closet equivalent of the ratio of 'a' to 'c' is:

Answer:
Step-by-step explanation:
The length of a rectangle is three times the width. Find the width if the perimeter is 80 cm.
PERIMETER = 2L +2W
L=3W
PERIMETER= 2(3W) +2W
80= 6W +2W =8W
80=8W
W=10
L=3X10=30
CHECK]
(2x10) + (2X30) =20+60=80
x
Answer:
The larger number is 40, and the smaller one is 23.
Step-by-step explanation:
Let x be the larger number.
Let x - 17 be the smaller number.
x + (x - 17) = 63
2x - 17 = 63
2x = 80
x = 40
Hence, the smaller number is 40 - 17 = 23.
Hope this helped!