Answer:
The numbers are 12 and 19.
Explanation:
x - first number
y - second number
{x + y = 31
{x = y + 7
{x + y = 31
{x - y = 7 (+)
----------------------------
x + x + y - y = 31 + 7
2x = 24
x = 12
{x = 12
{12 + y = 31
{x = 12
{y = 19
Answer:
12PI miles
Step-by-step explanation: Circumference of a circle is PI*diameter. In this case it is obligatory just to multiply by 4, because he encircles is 4 times. So the answer is: P=4*3*PI=12PI. If you need detailed answer you can multiply by p=3.14;
Answer:
4005
Step-by-step explanation:
Answer and explanation:
Given : Expression 
as ![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
To find : Use properties of exponents to explain why it makes sense to define expression ?
Solution :
Using property of exponent,
![x^{\frac{1}{n}}=\sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D)
On comparing with given expression,
Here x=16 and n=4
![(16)^{\frac{1}{4}}=\sqrt[4]{16}](https://tex.z-dn.net/?f=%2816%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B16%7D)
Hence by property it defied the expression.
Answer:
B. 120
Step-by-step explanation:
Each ribbon is 25 yards long. Each yard is 36 inches, so the length of the ribbon is ...
(25 yd)(36 in/yd) = 900 in
This can be divided into n pieces, where n satisfies ...
22n ≤ 900
n ≤ 900/22 = 40 20/22
That is, Erika can cut 40 22-inch pieces from each 25-yard piece, and will have 20 inches left over.
From the 3 25-yard pieces, Erica can cut 3×40 = 120 pieces of ribbon that are 22 inches long.
_____
She will have 3 pieces that are 20 inches left over.
