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.
The correct representations of this solution are
- (d) A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to negative 5.
- (e) (3, ∞)
<h3>How to determine the solution set?</h3>
The inequality is given as:
6 + 2n > 12
The solution is given as:
n > 3
When the above inequality is represented as an interval, we have:
(3, ∞)
Also, the inequality symbol > is represented using an open circle.
This means that the number line would use an open circle and the arrow would point right
Hence, the correct representations of this solution are (d) and (e)
Read more about inequalities at:
brainly.com/question/25275758
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Answer:
x=12
Step-by-step explanation:
3x-6=30
plus 6 both sides
3x=36
divide 3 both sides
x=12
Answer:
60 minutes
Step-by-step explanation:
You do the simple math
Answer:
They are congruent by the AAS theorem!
Step-by-step explanation:
Sides EF and HJ are congruent, angles E and J are congruent and angles EGF and HGJ are congruent because they are vertical angles. Therefore, the triangles are congruent by the AAS theorem!
Hope this helps you :)
