Answer:
3+4p+8t
Step-by-step explanation:
We have been given an expression:
3+2(2p+4t)
We will simplify the equation:
Firstly, we will open the parenthesis by multiplying it with the 2 given outside of the parenthesis we get:
3+4p+8t
Since, we have two variables so it can not be further solved therefore,
This is the maximum simplification of the given expression.
E=number of eagles
c=number of condors
ttoal is 480
c+e=480
5 times as many condors and 9 times as many eagles totals 3260
5c+9e=3260
we have
c+e=480
5c+9e=3260
eliminateion
elmiminate c
times first equation by -5
-5c-5e=-2400
add to other equation
-5c-5e=-2400
<u> 5c+9e=3260 +</u>
0c+4e=860
4e=860
divide both sides by 4
e=215
sub back
c+e=480
c+215=480
minus 215 from both sides
c=265
thiis spring is
265 condors
215 eagles
Answer:
62.832
Step-by-step explanation:
yes
Check the picture below.
so, the diameter of the sphere, is the same as a side's length of the cube, bearing in mind that all sides in a cube are the same length.
since all sides in the cube are "d", then its volume is V = d*d*d or V = d³.
![\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ -----\\ V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3 \\\\\\ \cfrac{2916\pi }{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%0AV%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0A-----%5C%5C%0AV%3D972%5Cpi%20%0A%5Cend%7Bcases%7D%5Cimplies%20972%5Cpi%20%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D%5Cimplies%202916%5Cpi%20%3D4%5Cpi%20r%5E3%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B2916%5Cpi%20%7D%7B4%5Cpi%20%7D%3Dr%5E3%5Cimplies%20729%3Dr%5E3%5Cimplies%20%5Csqrt%5B3%5D%7B729%7D%3Dr%5Cimplies%20%5Cboxed%7B9%3Dr%7D)
since the diameter is twice as much as the radius, thus d = 2r, or namely d = 18.
therefore, the volume of the cube will be V = 18³.
Answer:
1500 students
Step-by-step explanation:
Divide the number of blonde students by the percentage they are of the school.
225/0.15 = 1500
The total number of students in your school is 1500.