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)
The value of angle a will be 33°.
It should be noted that when we've parallel lines, then the angles will be equal. In this case, the value of angle a will be equal to that of angle b and this will be:
5x + 8 = 8x - 7.
Collect like terms .
8x - 5x = 8 + 7
3x = 15
Divide both side by 3
3x/3 = 15/3
x = 5
Therefore, the value of angle a will be:
= 5x + 8
= 5(5) + 8
= 25° + 8°
= 33°
The measure of angle a is 33°.
Read related link on:
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Answer:
The missing exponent = power of 3
852.763 x 10³ = 852763
Step-by-step explanation:
The expression 852.763 x 10?
A number that is 1,000 times the value of 852.763 is calculated as:
852.763 × 1000 = 852763
Converting this to exponent
852.763 × 10³ = 852763
Therefore, the missing exponent that would result in number that is 1,000 times the value of 852.763 is power of 3 meaning 10³
Answer:
153 ? im not sure srry if wrong
Step-by-step explanation:
20 + 7 = 27
180- 27 = 153
40% are boys. divide 2 by 5 and then multiply by 100
