s = standard version amount
h = high quality version amount
we know that there were 1090 downloads of the song, meaning s + h = 1090.
we also know that the total amount of MBs downloaded was 3353 MBs, and since the standard is 2.1 MBs and the high quality is 4.9MBs, then 2.1s + 4.9h = 3353.
![\begin{cases} s+h=1090\\ 2.1s + 4.9h = 3353\\[-0.5em] \hrulefill\\ h = 1090 - s \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{2.1s+4.9(1090-s) = 3353} \\\\\\ 2.1s + 5341 - 4.9s = 3353\implies -2.8s + 5341 = 3353 \\\\\\ -2.8s=-1988\implies s = \cfrac{-1988}{-2.8}\implies \boxed{s = 710}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%20s%2Bh%3D1090%5C%5C%202.1s%20%2B%204.9h%20%3D%203353%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%20%3D%201090%20-%20s%20%5Cend%7Bcases%7D%5Cqquad%20%5Cstackrel%7B%5Ctextit%7Bsubstituting%20on%20the%202nd%20equation%7D%7D%7B2.1s%2B4.9%281090-s%29%20%3D%203353%7D%20%5C%5C%5C%5C%5C%5C%202.1s%20%2B%205341%20-%204.9s%20%3D%203353%5Cimplies%20-2.8s%20%2B%205341%20%3D%203353%20%5C%5C%5C%5C%5C%5C%20-2.8s%3D-1988%5Cimplies%20s%20%3D%20%5Ccfrac%7B-1988%7D%7B-2.8%7D%5Cimplies%20%5Cboxed%7Bs%20%3D%20710%7D)
<span>Clarke
borrows $16000 to buy a car he pays simple interest at an annual rate of 6%
over a period of 3.5 years how much does he pay all together?
Let’s calculate
=> 16 000 dollars is the amount he borrowed
=> 6% is the annual interest
=> 3.5 years us the total years that he will be paying it.
Solutions:
=> 16 000 dollars * .06 = 960 dollars is the annual interests
=> 960 * 3.5 = 3 360 dollars for 3.5 years
=> 16 000 + 3 360 = 19 360 dollars
</span>
Answer:
- the given dimension was used as the radius
- 5.57 m³
Step-by-step explanation:
The volume of a sphere can be found using the formula ...
V = 4/3πr³ . . . . . where r is the radius
__
The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.
If 2.2 m is used as the radius, the volume is computed to be ...
V = 4/3π(2.2 m)³ ≈ 44.58 m³
This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.
__
The correct volume, using 2.2 m as the diameter, is ...
V = 4/3π(1.1 m)³ ≈ 5.57 m³
So, We Need To Examine The Problem. So, We Know That We Need To Find The Volume Of A Rectangular Prism. We Also Know That The Dimensions Are 4.9 • 3.8 • 5.4.
So, We Need To Remember The Formula For Volume Of A Rectangular Prism.
V = B • W • H
So, we need to plug in the known values.
V = 4.9 • 3.8<span> • 5.4.
So, Lets Solve.
4.9 • 3.8 = 18.62
18.62 * 5.4 = 100.548 cm²
Now We Have:
V = 100.548cm²
It Rounds To 100.5cm²</span>
