840
10% =84 (840/10)
5% =42 (84/2 or 840/20)
therefore 840+42=882
whatever you do to one side, you must do to the other side to keep the equation balanced.
in order to isolate the variable (x), you need to divide by 2. Since you are dividing the right side by 2, then you must divide the left side by 2.
-10÷2 = 2÷2x
-5 = 1x
-5 = x
Answer:
What should I answer?
Step-by-step explanation:
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)
Answer:
1.35m
Step-by-step explanation:
A 2.7 meter ladder leans against a house forming a 30° angle with the house. Exactly how far is the base of the ladder from the house?
We solve the above question using the Trigonometric function of Sine
cos theta = Opposite/Hypotenuse
From the question
Opposite = Distance of base of the ladder from the house = x
Hypotenuse = Length of the ladder = 2.7m
Theta = 30°
Hence,
sin 30 = x/2.7 m
Cross Multiply
x = sin 30 × 2.7m
x = 1.35m
Option b is correct.
