6.3
use the equation 4/3 *r^3 *pi for each, then find the difference
Answer:
4.41
Step-by-step explanation:
Use the definition of square:
![a^2=a\times a](https://tex.z-dn.net/?f=a%5E2%3Da%5Ctimes%20a)
Hence,
![2.1^2=2.1\times 2.1](https://tex.z-dn.net/?f=2.1%5E2%3D2.1%5Ctimes%202.1)
Multiply 2.1 by 2.1 using column multiplication (or using calculator):
![2.2\times 2.1=4.41](https://tex.z-dn.net/?f=2.2%5Ctimes%202.1%3D4.41)
so
![2.1^2=4.41](https://tex.z-dn.net/?f=2.1%5E2%3D4.41)
<em>x</em> kg of Maxwell House coffee contains 0.13<em>x</em> kg of Columbian beans.
<em>y</em> kg of Folgers contains 0.21<em>y</em> kg of beans.
You want a mixture weighing 70 kg, so
<em>x</em> + <em>y</em> = 70
You also want this blend to consist of 19% Columbian beans, or 0.19 (70 kg) = 13.3 kg, so
0.13<em>x</em> + 0.21<em>y</em> = 13.3
Solve for <em>x</em> and <em>y</em> :
<em>x</em> + <em>y</em> = 70 ===> <em>y</em> = 70 - <em>x</em>
0.13<em>x</em> + 0.21<em>y</em> = 13.3 ===> 0.13<em>x</em> + 0.21 (70 - <em>x</em>) = 13.3
0.13<em>x</em> + 14.7 - 0.21<em>x</em> = 13.3
14.7 - 13.3 = 0.21<em>x</em> - 0.13<em>x</em>
1.4 = 0.08<em>x</em>
<em>x</em> = 17.5
<em>y</em> = 52.5
===>Factors of −48 with smaller absolute value negative:
smaller factor larger factor difference
-1 48 49
-2 24 26
-3 16 19
Add: -3 + 16 = 13
Therefore, the answer to this item is letter c.13.