If you would like to write and solve a system of equations that represent the situation above, you can do this using the following steps:
s ... number of songs
m ... number of movies
$55.00 = $1.25 * s + $2.75 * m
55 = 1.25 * s + 2.75 * m
26 songs and movies = s + m
26 = s + m
s = 26 - m
55 = 1.25 * s + 2.75 * m
55 = 1.25 * (26 - m) + 2.75 * m
55 = 1.25 * 26 - 1.25 * m + 2.75 * m
55 - 32.5 = 1.5 * m
22.5 = 1.5 * m
m = 22.5 / 1.5 = 15 movies
s = 26 - m = 26 - 15 = 11 songs
The correct result would be 15 movies and 11 songs.
Answer:
LEFT
k + 3 = 20,
k = 17
RIGHT
3x + 5 = 32,
k = 9
Step-by-step explanation:
For the left side, you have k + 3 on one side equaling 20, so the equation is
k + 3 = 20
To solve is as follows
k + 3 = 20
- 3 - 3
k = 17
For the right side,
You have 3 x's and 5 1's right? Adding them together will equal 32 (Other side
So your equation is 3x + 5 = 32
To solve is as follows
3x + 5 = 32
- 5 -5
3x = 27
Dividing both sides by 9 we get x = 9
Reasoning; you want to cancel out everything with x so that you got x alone on one side.
Hope this helps, if not comment on this telling me which step I did that you dont understand and I'll explain it.
Answer:
Step-by-step explanation:
To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side
We can simply evaluate equation 1 to have
y = -20
From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.
-36° × π / 180°
= -0.2π rad
= -0.62831853072 rad hope this helps you
