Answer:
The simplified expression for the given expression will be:
c. ![2x-0.2y](https://tex.z-dn.net/?f=2x-0.2y)
Step-by-step explanation:
Given expression:
![(-7x+5.1y)-(-9x+5.3y)](https://tex.z-dn.net/?f=%28-7x%2B5.1y%29-%28-9x%2B5.3y%29)
To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒ ![-7x+5.1y+9x-5.3y](https://tex.z-dn.net/?f=-7x%2B5.1y%2B9x-5.3y)
Combining like terms
⇒ ![-7x+9x+5.1y-5.3y](https://tex.z-dn.net/?f=-7x%2B9x%2B5.1y-5.3y)
<em>The like terms can be evaluated as</em>
![-7x+9x=2x](https://tex.z-dn.net/?f=-7x%2B9x%3D2x)
![5.1y-5.3y=-0.2y](https://tex.z-dn.net/?f=5.1y-5.3y%3D-0.2y)
Thus, the simplified expression will be:
⇒ ![2x-0.2y](https://tex.z-dn.net/?f=2x-0.2y)
The answer is 30.6 I believe
Answer:
6 inches
Step-by-step explanation:
3392.92 cubic inches of liquid distributed in 30 spheres would give each sphere's volume to be:
![\frac{3392.92}{30}=113.1](https://tex.z-dn.net/?f=%5Cfrac%7B3392.92%7D%7B30%7D%3D113.1)
Now we equate 113.1 to the formula for volume of a sphere and solve for r:
![\frac{4}{3}\pi r^3=113.1\\r^3=\frac{113.1}{\frac{4\pi}{3}}\\r^3=27\\r=\sqrt[3]{27} =3](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%3D113.1%5C%5Cr%5E3%3D%5Cfrac%7B113.1%7D%7B%5Cfrac%7B4%5Cpi%7D%7B3%7D%7D%5C%5Cr%5E3%3D27%5C%5Cr%3D%5Csqrt%5B3%5D%7B27%7D%20%3D3)
The radius of each of those spheres is 3
We know diameter is twice the radius , so diameter would be 3 * 2 = 6 inches
Answer:
$3000 in 10% Simple interest account
$27000 in 7% Simple interest account
Step-by-step explanation:
x+y = 30000
10%x+7%y = 2190
2 over 7.that is a possible answer.its right