Answer:
H=310
Step-by-step explanation:
This problem is a great systems of equations problem--you have two different variables: song size and number of songs.
Let's call the number of standard version downloads (S) and the high quality downloads (H).
You can make two statements:
For number of songs downloaded: S + H = 910
For download size: 2.8(S) + 4.4(H) = 3044.
S will be the same number in both equations and H will be the same number in both equations, so to find S, we can rearrange the first statement to H = 910 - S, then substitute or plug in (910 - S) wherever you see an H in the second equation so that you have only S's in your equation. Should look like this:
2.8(S) + 4.4(910 - S) = 3044
2.8S + 4004 - 4.4S = 3044
-1.6S = -960
s = 600
Your question only asks for the standard version downloads, but to help you out in future Systems situations-
You can also solve for H once you have S by plugging it into either of your equations like this:
600 + H = 910
-600
Hope this helps!
Billy get 5.9% raise after completing first year.
<h3>What is PERCENTAGE?</h3>
A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Here, Billy's initial salary = $ 42,500
After raise, salary become $ 45,000
Change in salary = Raised salary - Initial salary
= 45000 - 42500
= $ 2500
% Change = change / initial salary X 100
= 2500 / 42500 X 100
= 0.0589 X 100
≈ 5.9 %
Thus, Billy get 5.9% raise after completing first year.
Learn more about Percentage from:
brainly.com/question/14979505
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Answer:
x=60.9°
Step-by-step explanation:
Given that the height of ball from the ground is 150ft
The base of the pole with the ball is 80 ft from where Trey is standing
Trey's horizontal line of sight is 6 feet above ground, then;
The height of ball from Trey's horizontal line of sight is;
150ft-6ft = 144ft
To find the angle x, assume a triangle with a base of 80 ft , a height of 144 ft and a slant height that represent the line of sight at an angle x
To get angle x , you apply the tangent of an angle formula where;
tan Ф°= length of opposite site of the angle/length of the adjacent side of the angle
tan x°= 144/80
tan x°= 1.8
x°= tan⁻(1.8)
x°=60.9°
Answer:
She spent 25 minutes studying last week
Step-by-step explanation:
L = last week
120 = 4L + 20
Subtract 20 from either side
100 = 4L
Divde either side by 4
25 = L
The formula for the volume of pyramid is,
Here, B is base area and height of pyramid.
The volume expression for group 4 is,
Here, expression,
represents the base area and 9 represent the height of pyramid.
So height of the pyramid created by group 4 is 9.
Answer: 9
