If the number of downloads of the standard version is x, and the high quality is x, 2.1*x+4.1*y=2761 (not 1010 due to that this is multiplied by 2.1 and 4.1, therefore representing the total amount of megabytes) In addition, there are 1010 total downloads, and it's either 2.1 MB or 4.1 MB, so x+y=1010.
We have
2.1x+4.1y=2761
x+y=1010
Multiplying the second equation by -2.1 and adding it to the first equation, we get 2y=2761-1010*2.1=640 and by dividing both sides by 2 we get y=320 downloads of the high quality version
Answer:
Step-by-step explanation:
Use Pythagoras Theorem
x² + 16² = 34²
x² + 256 = 1156
x² = 1156 - 256
x² = 900
x= √3*3*10*10
x= 3*10
x = 30
Answer:
C) Domain is {2}, Range is {2, 3}
Step-by-step explanation:
For one value of x there are two values of y, which contradicts the definition of a function.
Definition of a function:
A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.
<em>All the other options follow this definition except C</em>
Answer:
Since there are 4 green bars for every 3 red bars and we are trying to find the number of red bars if there are 200 green bars, we can create the ratio:
4
x
:
3
y
Where x is equal to the number of green bars and y
is the number of red bars.
We know the number of green bars is equal to 200, so we can divide it by 4, giving us:
200
/4=50
Then we can solve for y
, the number of red bars.
// Multiple y by 50
3
⋅
50
=
150
So for every 4 green bars, there are 3 red bars.
For every 200 green bars, there are 150 red bars
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 48)° = 180° - 138° = 42°
----------------------------------------------------------
tan48° =
= 
Multiply both sides by a
a × tan48° = 18 ( divide both sides by tan48° )
a =
≈ 16.2 ( to the nearest tenth )
-----------------------------------------------------------
sin48° =
= 
Multiply both sides by c
c × sin48° = 18 ( divide both sides by sin48° )
c =
≈ 24.2 ( to the nearest tenth )